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href="/w/index.php?title=%E1%80%A1%E1%80%91%E1%80%B0%E1%80%B8:%E1%80%9C%E1%80%90%E1%80%BA%E1%80%90%E1%80%9C%E1%80%B1%E1%80%AC%E1%80%A1%E1%80%95%E1%80%BC%E1%80%B1%E1%80%AC%E1%80%84%E1%80%BA%E1%80%B8%E1%80%A1%E1%80%9C%E1%80%B2%E1%80%99%E1%80%BB%E1%80%AC%E1%80%B8&feed=atom"> <link rel="dns-prefetch" href="//meta.wikimedia.org" /> <link rel="dns-prefetch" href="//login.wikimedia.org"> </head> <body class="skin--responsive skin-vector skin-vector-search-vue mediawiki ltr sitedir-ltr mw-hide-empty-elt ns-0 ns-subject mw-editable page-အလျင် rootpage-အလျင် skin-vector-2022 action-view"><a class="mw-jump-link" href="#bodyContent">မာတိကာသို့ ခုန်သွားရန်</a> <div class="vector-header-container"> <header class="vector-header mw-header"> <div class="vector-header-start"> <nav class="vector-main-menu-landmark" aria-label="ဆိုဒ်"> <div id="vector-main-menu-dropdown" class="vector-dropdown vector-main-menu-dropdown vector-button-flush-left vector-button-flush-right" > <input type="checkbox" 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data-pinned-container-id="vector-main-menu-pinned-container" data-unpinned-container-id="vector-main-menu-unpinned-container" > <div class="vector-pinnable-header-label">ပင်မ မီနူး</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-main-menu.pin">ဘေးဘားသို့ရွှေ့ပါ</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-main-menu.unpin">ဝှက်ရန်</button> </div> <div id="p-navigation" class="vector-menu mw-portlet mw-portlet-navigation" > <div class="vector-menu-heading"> အညွှန်း </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="n-mainpage-description" class="mw-list-item"><a href="/wiki/%E1%80%97%E1%80%9F%E1%80%AD%E1%80%AF%E1%80%85%E1%80%AC%E1%80%99%E1%80%BB%E1%80%80%E1%80%BA%E1%80%94%E1%80%BE%E1%80%AC" title="ဗဟိုစာမျက်နှာသို့ သွားရန် [z]" accesskey="z"><span>ဗဟိုစာမျက်နှာ</span></a></li><li id="n-currentevents" class="mw-list-item"><a href="/wiki/%E1%80%9D%E1%80%AE%E1%80%80%E1%80%AE%E1%80%95%E1%80%AE%E1%80%B8%E1%80%92%E1%80%AE%E1%80%B8%E1%80%9A%E1%80%AC%E1%80%B8:%E1%80%9C%E1%80%80%E1%80%BA%E1%80%9B%E1%80%BE%E1%80%AD%E1%80%96%E1%80%BC%E1%80%85%E1%80%BA%E1%80%9B%E1%80%95%E1%80%BA%E1%80%99%E1%80%BB%E1%80%AC%E1%80%B8" title="လက်ရှိ အဖြစ်အပျက်များမှ နောက်ခံ အချက်အလက်များကို ရှာရန်"><span>လက်ရှိဖြစ်ရပ်များ</span></a></li><li id="n-recentchanges" class="mw-list-item"><a href="/wiki/%E1%80%A1%E1%80%91%E1%80%B0%E1%80%B8:%E1%80%9C%E1%80%90%E1%80%BA%E1%80%90%E1%80%9C%E1%80%B1%E1%80%AC%E1%80%A1%E1%80%95%E1%80%BC%E1%80%B1%E1%80%AC%E1%80%84%E1%80%BA%E1%80%B8%E1%80%A1%E1%80%9C%E1%80%B2%E1%80%99%E1%80%BB%E1%80%AC%E1%80%B8" title="ဝီကီမှ လတ်တလော အပြောင်းအလဲများ စာရင်း [r]" accesskey="r"><span>လတ်တလော အပြောင်းအလဲများ</span></a></li><li id="n-randompage" class="mw-list-item"><a href="/wiki/%E1%80%A1%E1%80%91%E1%80%B0%E1%80%B8:%E1%80%80%E1%80%BB%E1%80%95%E1%80%94%E1%80%BA%E1%80%B8" title="ကျပန်းစာမျက်နှာ ပြရန် [x]" accesskey="x"><span>ကျပန်းစာမျက်နှာ</span></a></li><li id="n-aboutsite" class="mw-list-item"><a href="/wiki/%E1%80%9D%E1%80%AE%E1%80%80%E1%80%AE%E1%80%95%E1%80%AE%E1%80%B8%E1%80%92%E1%80%AE%E1%80%B8%E1%80%9A%E1%80%AC%E1%80%B8:%E1%80%A1%E1%80%80%E1%80%BC%E1%80%B1%E1%80%AC%E1%80%84%E1%80%BA%E1%80%B8"><span>ဝီကီပီးဒီးယား အကြောင်း</span></a></li><li id="n-contactpage" class="mw-list-item"><a href="/wiki/Contact-url"><span>ဆက်သွယ်ရန်</span></a></li> </ul> </div> </div> <div id="p-interaction" class="vector-menu mw-portlet mw-portlet-interaction" > <div class="vector-menu-heading"> ပါဝင်ပံ့ပိုးရန် </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="n-help" class="mw-list-item"><a href="https://www.mediawiki.org/wiki/Special:MyLanguage/Help:Contents" title="ရှာဖွေဖော်ထုတ်ရန်နေရာ"><span>အကူအညီ</span></a></li><li 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autocapitalize="sentences" title="ဝီကီပီးဒီးယားတွင် ရှာဖွေရန် [f]" accesskey="f" id="searchInput" > <span class="cdx-text-input__icon cdx-text-input__start-icon"></span> </div> <input type="hidden" name="title" value="အထူး:ရှာဖွေရန်"> </div> <button class="cdx-button cdx-search-input__end-button">ရှာဖွေရန်</button> </form> </div> </div> </div> <nav class="vector-user-links vector-user-links-wide" aria-label="ကိုယ်ပိုင် ကိရိယာများ"> <div class="vector-user-links-main"> <div id="p-vector-user-menu-preferences" class="vector-menu mw-portlet emptyPortlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> </ul> </div> </div> <div id="p-vector-user-menu-userpage" class="vector-menu mw-portlet emptyPortlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> </ul> </div> </div> <nav class="vector-appearance-landmark" aria-label="ပုံပန်းသွင်ပြင်"> <div id="vector-appearance-dropdown" class="vector-dropdown " title="Change the appearance of the page's font size, width, and color" > <input type="checkbox" id="vector-appearance-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-appearance-dropdown" class="vector-dropdown-checkbox " aria-label="ပုံပန်းသွင်ပြင်" > <label id="vector-appearance-dropdown-label" for="vector-appearance-dropdown-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only " aria-hidden="true" ><span class="vector-icon mw-ui-icon-appearance mw-ui-icon-wikimedia-appearance"></span> <span class="vector-dropdown-label-text">ပုံပန်းသွင်ပြင်</span> </label> <div class="vector-dropdown-content"> <div id="vector-appearance-unpinned-container" class="vector-unpinned-container"> </div> </div> </div> </nav> <div id="p-vector-user-menu-notifications" class="vector-menu mw-portlet emptyPortlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> </ul> </div> </div> <div id="p-vector-user-menu-overflow" class="vector-menu mw-portlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="pt-sitesupport-2" class="user-links-collapsible-item mw-list-item user-links-collapsible-item"><a data-mw="interface" href="https://donate.wikimedia.org/?utm_source=donate&utm_medium=sidebar&utm_campaign=spontaneous&uselang=my" class=""><span>လှူဒါန်းမှု</span></a> </li> <li id="pt-createaccount-2" class="user-links-collapsible-item mw-list-item user-links-collapsible-item"><a data-mw="interface" href="/w/index.php?title=%E1%80%A1%E1%80%91%E1%80%B0%E1%80%B8:%E1%80%A1%E1%80%80%E1%80%B1%E1%80%AC%E1%80%84%E1%80%B7%E1%80%BA%E1%80%96%E1%80%94%E1%80%BA%E1%80%90%E1%80%AE%E1%80%B8%E1%80%9B%E1%80%94%E1%80%BA&returnto=%E1%80%A1%E1%80%9C%E1%80%BB%E1%80%84%E1%80%BA" title="အကောင့်တစ်ခုကို ဖန်တီးပြီး ဝင်ရောက်ရန် သင့်အား တိုက်တွန်းပါသည်။ သို့သော် မဖြစ်မနေ မဟုတ်ပါ။" class=""><span>အကောင့် ဖန်တီးရန်</span></a> </li> <li id="pt-login-2" class="user-links-collapsible-item mw-list-item user-links-collapsible-item"><a data-mw="interface" href="/w/index.php?title=%E1%80%A1%E1%80%91%E1%80%B0%E1%80%B8:UserLogin&returnto=%E1%80%A1%E1%80%9C%E1%80%BB%E1%80%84%E1%80%BA" title="သင့်အား အကောင့်ဝင်ရန် တိုက်တွန်းပါသည်။ သို့သော် မဖြစ်မနေ လုပ်ဆောင်ရန် မဟုတ်ပါ။ [o]" accesskey="o" class=""><span>အကောင့်ဝင်ရန်</span></a> </li> </ul> </div> </div> </div> <div id="vector-user-links-dropdown" class="vector-dropdown vector-user-menu vector-button-flush-right vector-user-menu-logged-out" title="နောက်ထပ် ရွေးချယ်စရာများ" > <input type="checkbox" id="vector-user-links-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-user-links-dropdown" class="vector-dropdown-checkbox " aria-label="ကိုယ်ပိုင် ကိရိယာများ" > <label id="vector-user-links-dropdown-label" for="vector-user-links-dropdown-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only " aria-hidden="true" ><span class="vector-icon mw-ui-icon-ellipsis mw-ui-icon-wikimedia-ellipsis"></span> <span class="vector-dropdown-label-text">ကိုယ်ပိုင် ကိရိယာများ</span> </label> <div class="vector-dropdown-content"> <div id="p-personal" class="vector-menu mw-portlet mw-portlet-personal user-links-collapsible-item" title="အသုံးပြုသူ မီနူး" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="pt-sitesupport" class="user-links-collapsible-item mw-list-item"><a href="https://donate.wikimedia.org/?utm_source=donate&utm_medium=sidebar&utm_campaign=spontaneous&uselang=my"><span>လှူဒါန်းမှု</span></a></li><li id="pt-createaccount" class="user-links-collapsible-item mw-list-item"><a href="/w/index.php?title=%E1%80%A1%E1%80%91%E1%80%B0%E1%80%B8:%E1%80%A1%E1%80%80%E1%80%B1%E1%80%AC%E1%80%84%E1%80%B7%E1%80%BA%E1%80%96%E1%80%94%E1%80%BA%E1%80%90%E1%80%AE%E1%80%B8%E1%80%9B%E1%80%94%E1%80%BA&returnto=%E1%80%A1%E1%80%9C%E1%80%BB%E1%80%84%E1%80%BA" title="အကောင့်တစ်ခုကို ဖန်တီးပြီး ဝင်ရောက်ရန် သင့်အား တိုက်တွန်းပါသည်။ သို့သော် မဖြစ်မနေ မဟုတ်ပါ။"><span class="vector-icon mw-ui-icon-userAdd mw-ui-icon-wikimedia-userAdd"></span> <span>အကောင့် ဖန်တီးရန်</span></a></li><li id="pt-login" class="user-links-collapsible-item mw-list-item"><a href="/w/index.php?title=%E1%80%A1%E1%80%91%E1%80%B0%E1%80%B8:UserLogin&returnto=%E1%80%A1%E1%80%9C%E1%80%BB%E1%80%84%E1%80%BA" title="သင့်အား အကောင့်ဝင်ရန် တိုက်တွန်းပါသည်။ သို့သော် မဖြစ်မနေ လုပ်ဆောင်ရန် မဟုတ်ပါ။ [o]" accesskey="o"><span class="vector-icon mw-ui-icon-logIn mw-ui-icon-wikimedia-logIn"></span> <span>အကောင့်ဝင်ရန်</span></a></li> </ul> </div> </div> <div id="p-user-menu-anon-editor" class="vector-menu mw-portlet mw-portlet-user-menu-anon-editor" > <div class="vector-menu-heading"> ထွက်ပြီးသား တည်းဖြတ်သူများအတွက် စာမျက်နှာများ <a href="/wiki/%E1%80%A1%E1%80%80%E1%80%B0%E1%80%A1%E1%80%8A%E1%80%AE:%E1%80%99%E1%80%AD%E1%80%90%E1%80%BA%E1%80%86%E1%80%80%E1%80%BA" aria-label="တည်းဖြတ်ခြင်းအကြောင်း ပိုမိုလေ့လာရန်"><span>ပိုမို လေ့လာရန်</span></a> </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="pt-anoncontribs" class="mw-list-item"><a href="/wiki/%E1%80%A1%E1%80%91%E1%80%B0%E1%80%B8:%E1%80%80%E1%80%BB%E1%80%BD%E1%80%94%E1%80%BA%E1%80%AF%E1%80%95%E1%80%BA%E1%81%8F%E1%80%86%E1%80%B1%E1%80%AC%E1%80%84%E1%80%BA%E1%80%9B%E1%80%BD%E1%80%80%E1%80%BA%E1%80%81%E1%80%BB%E1%80%80%E1%80%BA%E1%80%99%E1%80%BB%E1%80%AC%E1%80%B8" title="ဤအိုင်ပီလိပ်စာမှ ပြုလုပ်ထားသော တည်းဖြတ်မှုများ၏ စာရင်း [y]" accesskey="y"><span>ဆောင်ရွက်ချက်များ</span></a></li><li id="pt-anontalk" class="mw-list-item"><a href="/wiki/%E1%80%A1%E1%80%91%E1%80%B0%E1%80%B8:%E1%80%80%E1%80%BB%E1%80%BD%E1%80%94%E1%80%BA%E1%80%AF%E1%80%95%E1%80%BA%E1%81%8F%E1%80%86%E1%80%BD%E1%80%B1%E1%80%B8%E1%80%94%E1%80%BD%E1%80%B1%E1%80%B8%E1%80%81%E1%80%BB%E1%80%80%E1%80%BA" title="ဤအိုင်ပီလိပ်စာမှ တည်းဖြတ်မှုများအကြောင်း ဆွေးနွေးချက် [n]" accesskey="n"><span>ဆွေးနွေးရန်</span></a></li> </ul> </div> </div> </div> </div> </nav> </div> </header> </div> <div class="mw-page-container"> <div class="mw-page-container-inner"> <div class="vector-sitenotice-container"> <div id="siteNotice"></div> </div> <div class="vector-column-start"> <div class="vector-main-menu-container"> <div id="mw-navigation"> <nav id="mw-panel" class="vector-main-menu-landmark" aria-label="ဆိုဒ်"> <div id="vector-main-menu-pinned-container" class="vector-pinned-container"> </div> </nav> </div> </div> <div class="vector-sticky-pinned-container"> <nav id="mw-panel-toc" aria-label="မာတိကာ" data-event-name="ui.sidebar-toc" class="mw-table-of-contents-container vector-toc-landmark"> <div id="vector-toc-pinned-container" class="vector-pinned-container"> <div id="vector-toc" class="vector-toc vector-pinnable-element"> <div class="vector-pinnable-header vector-toc-pinnable-header vector-pinnable-header-pinned" data-feature-name="toc-pinned" data-pinnable-element-id="vector-toc" > <h2 class="vector-pinnable-header-label">မာတိကာ</h2> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-toc.pin">ဘေးဘားသို့ရွှေ့ပါ</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-toc.unpin">ဝှက်ရန်</button> </div> <ul class="vector-toc-contents" id="mw-panel-toc-list"> <li id="toc-mw-content-text" class="vector-toc-list-item vector-toc-level-1"> <a href="#" class="vector-toc-link"> <div class="vector-toc-text">အစပိုင်း</div> </a> </li> <li id="toc-ပျမ်းမျှအလျင်_နှင့်_ဖြစ်ခိုက်အလျင်" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#ပျမ်းမျှအလျင်_နှင့်_ဖြစ်ခိုက်အလျင်"> <div class="vector-toc-text"> <span class="vector-toc-numb">၁</span> <span>ပျမ်းမျှအလျင် နှင့် ဖြစ်ခိုက်အလျင်</span> </div> </a> <button aria-controls="toc-ပျမ်းမျှအလျင်_နှင့်_ဖြစ်ခိုက်အလျင်-sublist" class="cdx-button cdx-button--weight-quiet cdx-button--icon-only vector-toc-toggle"> <span class="vector-icon mw-ui-icon-wikimedia-expand"></span> <span>Toggle ပျမ်းမျှအလျင် နှင့် ဖြစ်ခိုက်အလျင် subsection</span> </button> <ul id="toc-ပျမ်းမျှအလျင်_နှင့်_ဖြစ်ခိုက်အလျင်-sublist" class="vector-toc-list"> <li id="toc-ပျမ်းမျှအလျင်" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#ပျမ်းမျှအလျင်"> <div class="vector-toc-text"> <span class="vector-toc-numb">၁.၁</span> <span>ပျမ်းမျှအလျင်</span> </div> </a> <ul id="toc-ပျမ်းမျှအလျင်-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-ဖြစ်ခိုက်အလျင်" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#ဖြစ်ခိုက်အလျင်"> <div class="vector-toc-text"> <span class="vector-toc-numb">၁.၂</span> <span>ဖြစ်ခိုက်အလျင်</span> </div> </a> <ul id="toc-ဖြစ်ခိုက်အလျင်-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-ကိန်းသေအလျင်နှင့်_ပြောင်းလဲအလျင်_အမျိုးမျိုး" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#ကိန်းသေအလျင်နှင့်_ပြောင်းလဲအလျင်_အမျိုးမျိုး"> <div class="vector-toc-text"> <span class="vector-toc-numb">၂</span> <span>ကိန်းသေအလျင်နှင့် ပြောင်းလဲအလျင် အမျိုးမျိုး</span> </div> </a> <button aria-controls="toc-ကိန်းသေအလျင်နှင့်_ပြောင်းလဲအလျင်_အမျိုးမျိုး-sublist" class="cdx-button cdx-button--weight-quiet cdx-button--icon-only vector-toc-toggle"> <span class="vector-icon mw-ui-icon-wikimedia-expand"></span> <span>Toggle ကိန်းသေအလျင်နှင့် ပြောင်းလဲအလျင် အမျိုးမျိုး subsection</span> </button> <ul id="toc-ကိန်းသေအလျင်နှင့်_ပြောင်းလဲအလျင်_အမျိုးမျိုး-sublist" class="vector-toc-list"> <li id="toc-ကိန်းသေအလျင်" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#ကိန်းသေအလျင်"> <div class="vector-toc-text"> <span class="vector-toc-numb">၂.၁</span> <span>ကိန်းသေအလျင်</span> </div> </a> <ul id="toc-ကိန်းသေအလျင်-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-ကိန်းသေမဟုတ်သော_(ပြောင်းလဲ)_အလျင်_အမျိုးမျိုး" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#ကိန်းသေမဟုတ်သော_(ပြောင်းလဲ)_အလျင်_အမျိုးမျိုး"> <div class="vector-toc-text"> <span class="vector-toc-numb">၂.၂</span> <span>ကိန်းသေမဟုတ်သော (ပြောင်းလဲ) အလျင် အမျိုးမျိုး</span> </div> </a> <ul id="toc-ကိန်းသေမဟုတ်သော_(ပြောင်းလဲ)_အလျင်_အမျိုးမျိုး-sublist" class="vector-toc-list"> <li id="toc-ကိန်းသေအလျင်ပြောင်းနှုန်း_ဖြစ်ပေါ်နေစေမည့်_အလျင်မျိုး" class="vector-toc-list-item vector-toc-level-3"> <a class="vector-toc-link" href="#ကိန်းသေအလျင်ပြောင်းနှုန်း_ဖြစ်ပေါ်နေစေမည့်_အလျင်မျိုး"> <div class="vector-toc-text"> <span class="vector-toc-numb">၂.၂.၁</span> <span>ကိန်းသေအလျင်ပြောင်းနှုန်း ဖြစ်ပေါ်နေစေမည့် အလျင်မျိုး</span> </div> </a> <ul id="toc-ကိန်းသေအလျင်ပြောင်းနှုန်း_ဖြစ်ပေါ်နေစေမည့်_အလျင်မျိုး-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-ပြောင်းလဲအလျင်ပြောင်းနှုန်း_ဖြစ်ပေါ်နေစေမည့်_အလျင်_အမျိုးမျိုး" class="vector-toc-list-item vector-toc-level-3"> <a class="vector-toc-link" href="#ပြောင်းလဲအလျင်ပြောင်းနှုန်း_ဖြစ်ပေါ်နေစေမည့်_အလျင်_အမျိုးမျိုး"> <div class="vector-toc-text"> <span class="vector-toc-numb">၂.၂.၂</span> <span>ပြောင်းလဲအလျင်ပြောင်းနှုန်း ဖြစ်ပေါ်နေစေမည့် အလျင် အမျိုးမျိုး</span> </div> </a> <ul id="toc-ပြောင်းလဲအလျင်ပြောင်းနှုန်း_ဖြစ်ပေါ်နေစေမည့်_အလျင်_အမျိုးမျိုး-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> </ul> </li> <li id="toc-အကိုးအကား" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#အကိုးအကား"> <div class="vector-toc-text"> <span class="vector-toc-numb">၃</span> <span>အကိုးအကား</span> </div> </a> <ul id="toc-အကိုးအကား-sublist" class="vector-toc-list"> </ul> </li> </ul> </div> </div> </nav> </div> </div> <div class="mw-content-container"> <main id="content" class="mw-body"> <header class="mw-body-header vector-page-titlebar"> <nav aria-label="မာတိကာ" class="vector-toc-landmark"> <div id="vector-page-titlebar-toc" class="vector-dropdown vector-page-titlebar-toc vector-button-flush-left" > <input type="checkbox" id="vector-page-titlebar-toc-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-page-titlebar-toc" class="vector-dropdown-checkbox " aria-label="Toggle the table of contents" > <label id="vector-page-titlebar-toc-label" for="vector-page-titlebar-toc-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only " aria-hidden="true" ><span class="vector-icon mw-ui-icon-listBullet mw-ui-icon-wikimedia-listBullet"></span> <span class="vector-dropdown-label-text">Toggle the table of contents</span> </label> <div class="vector-dropdown-content"> <div id="vector-page-titlebar-toc-unpinned-container" class="vector-unpinned-container"> </div> </div> </div> </nav> <h1 id="firstHeading" class="firstHeading mw-first-heading"><span class="mw-page-title-main">အလျင်</span></h1> <div id="p-lang-btn" class="vector-dropdown mw-portlet mw-portlet-lang" > <input type="checkbox" id="p-lang-btn-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-p-lang-btn" class="vector-dropdown-checkbox mw-interlanguage-selector" aria-label="Go to an article in another language. Available in ၁၃၀ languages" > <label id="p-lang-btn-label" for="p-lang-btn-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--action-progressive mw-portlet-lang-heading-130" aria-hidden="true" ><span class="vector-icon mw-ui-icon-language-progressive mw-ui-icon-wikimedia-language-progressive"></span> <span class="vector-dropdown-label-text">၁၃၀ ဘာသာစကားများ ၁၃၀ ခု</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="interlanguage-link interwiki-af mw-list-item"><a href="https://af.wikipedia.org/wiki/Snelheid" title="Snelheid – အာဖရိကန်" lang="af" hreflang="af" data-title="Snelheid" data-language-autonym="Afrikaans" data-language-local-name="အာဖရိကန်" class="interlanguage-link-target"><span>Afrikaans</span></a></li><li class="interlanguage-link interwiki-als mw-list-item"><a href="https://als.wikipedia.org/wiki/Geschwindigkeit" title="Geschwindigkeit – ဆွစ် ဂျာမန်" lang="gsw" hreflang="gsw" data-title="Geschwindigkeit" data-language-autonym="Alemannisch" data-language-local-name="ဆွစ် ဂျာမန်" class="interlanguage-link-target"><span>Alemannisch</span></a></li><li class="interlanguage-link interwiki-am mw-list-item"><a href="https://am.wikipedia.org/wiki/%E1%8D%8D%E1%8C%A5%E1%8A%90%E1%89%B5" title="ፍጥነት – အမ်ဟာရစ်ခ်" lang="am" hreflang="am" data-title="ፍጥነት" data-language-autonym="አማርኛ" data-language-local-name="အမ်ဟာရစ်ခ်" class="interlanguage-link-target"><span>አማርኛ</span></a></li><li class="interlanguage-link interwiki-an mw-list-item"><a href="https://an.wikipedia.org/wiki/Velocidat" title="Velocidat – အာရာဂွန်" lang="an" hreflang="an" data-title="Velocidat" data-language-autonym="Aragonés" data-language-local-name="အာရာဂွန်" class="interlanguage-link-target"><span>Aragonés</span></a></li><li class="interlanguage-link interwiki-anp mw-list-item"><a href="https://anp.wikipedia.org/wiki/%E0%A4%B5%E0%A5%87%E0%A4%97" title="वेग – အန်ဂီကာ" lang="anp" hreflang="anp" data-title="वेग" data-language-autonym="अंगिका" data-language-local-name="အန်ဂီကာ" class="interlanguage-link-target"><span>अंगिका</span></a></li><li class="interlanguage-link interwiki-ar mw-list-item"><a href="https://ar.wikipedia.org/wiki/%D8%B3%D8%B1%D8%B9%D8%A9_%D9%85%D8%AA%D8%AC%D9%87%D8%A9" title="سرعة متجهة – အာရဗီ" lang="ar" hreflang="ar" data-title="سرعة متجهة" data-language-autonym="العربية" data-language-local-name="အာရဗီ" class="interlanguage-link-target"><span>العربية</span></a></li><li class="interlanguage-link interwiki-as mw-list-item"><a href="https://as.wikipedia.org/wiki/%E0%A6%AC%E0%A7%87%E0%A6%97" title="বেগ – အာသံ" lang="as" hreflang="as" data-title="বেগ" data-language-autonym="অসমীয়া" data-language-local-name="အာသံ" class="interlanguage-link-target"><span>অসমীয়া</span></a></li><li class="interlanguage-link interwiki-ast mw-list-item"><a href="https://ast.wikipedia.org/wiki/Velocid%C3%A1" title="Velocidá – အက်စ်တိုးရီးယား" lang="ast" hreflang="ast" data-title="Velocidá" data-language-autonym="Asturianu" data-language-local-name="အက်စ်တိုးရီးယား" class="interlanguage-link-target"><span>Asturianu</span></a></li><li class="interlanguage-link interwiki-azb mw-list-item"><a href="https://azb.wikipedia.org/wiki/%DB%8C%D8%A4%D9%86%D8%A6%DB%8C%D9%84%DB%8C_%D8%B3%D9%88%D8%B1%D8%B9%D8%AA" title="یؤنئیلی سورعت – South Azerbaijani" lang="azb" hreflang="azb" data-title="یؤنئیلی سورعت" data-language-autonym="تۆرکجه" data-language-local-name="South Azerbaijani" class="interlanguage-link-target"><span>تۆرکجه</span></a></li><li class="interlanguage-link interwiki-ba mw-list-item"><a href="https://ba.wikipedia.org/wiki/%D0%A2%D0%B8%D2%99%D0%BB%D0%B5%D0%BA" title="Тиҙлек – ဘက်ရှ်ကာ" lang="ba" hreflang="ba" data-title="Тиҙлек" data-language-autonym="Башҡортса" data-language-local-name="ဘက်ရှ်ကာ" class="interlanguage-link-target"><span>Башҡортса</span></a></li><li class="interlanguage-link interwiki-bar mw-list-item"><a href="https://bar.wikipedia.org/wiki/Gschwindigkeit" title="Gschwindigkeit – Bavarian" lang="bar" hreflang="bar" data-title="Gschwindigkeit" data-language-autonym="Boarisch" data-language-local-name="Bavarian" class="interlanguage-link-target"><span>Boarisch</span></a></li><li class="interlanguage-link interwiki-bcl mw-list-item"><a href="https://bcl.wikipedia.org/wiki/Belosidad" title="Belosidad – Central Bikol" lang="bcl" hreflang="bcl" data-title="Belosidad" data-language-autonym="Bikol Central" data-language-local-name="Central Bikol" class="interlanguage-link-target"><span>Bikol Central</span></a></li><li class="interlanguage-link interwiki-be mw-list-item"><a href="https://be.wikipedia.org/wiki/%D0%A1%D0%BA%D0%BE%D1%80%D0%B0%D1%81%D1%86%D1%8C" title="Скорасць – ဘီလာရုစ်" lang="be" hreflang="be" data-title="Скорасць" data-language-autonym="Беларуская" data-language-local-name="ဘီလာရုစ်" class="interlanguage-link-target"><span>Беларуская</span></a></li><li class="interlanguage-link interwiki-be-x-old mw-list-item"><a href="https://be-tarask.wikipedia.org/wiki/%D0%A5%D1%83%D1%82%D0%BA%D0%B0%D1%81%D1%8C%D1%86%D1%8C" title="Хуткасьць – Belarusian (Taraškievica orthography)" lang="be-tarask" hreflang="be-tarask" data-title="Хуткасьць" data-language-autonym="Беларуская (тарашкевіца)" data-language-local-name="Belarusian (Taraškievica orthography)" class="interlanguage-link-target"><span>Беларуская (тарашкевіца)</span></a></li><li class="interlanguage-link interwiki-bg mw-list-item"><a href="https://bg.wikipedia.org/wiki/%D0%A1%D0%BA%D0%BE%D1%80%D0%BE%D1%81%D1%82" title="Скорост – ဘူလ်ဂေးရီးယား" lang="bg" hreflang="bg" data-title="Скорост" data-language-autonym="Български" data-language-local-name="ဘူလ်ဂေးရီးယား" class="interlanguage-link-target"><span>Български</span></a></li><li class="interlanguage-link interwiki-bh mw-list-item"><a href="https://bh.wikipedia.org/wiki/%E0%A4%B5%E0%A5%87%E0%A4%97" title="वेग – Bhojpuri" lang="bh" hreflang="bh" data-title="वेग" data-language-autonym="भोजपुरी" data-language-local-name="Bhojpuri" class="interlanguage-link-target"><span>भोजपुरी</span></a></li><li class="interlanguage-link interwiki-bn mw-list-item"><a href="https://bn.wikipedia.org/wiki/%E0%A6%97%E0%A6%A4%E0%A6%BF%E0%A6%AC%E0%A7%87%E0%A6%97" title="গতিবেগ – ဘင်္ဂါလီ" lang="bn" hreflang="bn" data-title="গতিবেগ" data-language-autonym="বাংলা" data-language-local-name="ဘင်္ဂါလီ" class="interlanguage-link-target"><span>বাংলা</span></a></li><li class="interlanguage-link interwiki-bs mw-list-item"><a href="https://bs.wikipedia.org/wiki/Brzina" title="Brzina – ဘော့စ်နီးယား" lang="bs" hreflang="bs" data-title="Brzina" data-language-autonym="Bosanski" data-language-local-name="ဘော့စ်နီးယား" class="interlanguage-link-target"><span>Bosanski</span></a></li><li class="interlanguage-link interwiki-bxr mw-list-item"><a href="https://bxr.wikipedia.org/wiki/%D0%A5%D1%83%D1%80%D0%B4%D0%B0%D0%BD" title="Хурдан – Russia Buriat" lang="bxr" hreflang="bxr" data-title="Хурдан" data-language-autonym="Буряад" data-language-local-name="Russia Buriat" class="interlanguage-link-target"><span>Буряад</span></a></li><li class="interlanguage-link interwiki-ca mw-list-item"><a href="https://ca.wikipedia.org/wiki/Velocitat" title="Velocitat – ကတ်တလန်" lang="ca" hreflang="ca" data-title="Velocitat" data-language-autonym="Català" data-language-local-name="ကတ်တလန်" class="interlanguage-link-target"><span>Català</span></a></li><li class="interlanguage-link interwiki-cdo mw-list-item"><a href="https://cdo.wikipedia.org/wiki/S%C3%B3k-d%C3%B4" title="Sók-dô – Mindong" lang="cdo" hreflang="cdo" data-title="Sók-dô" data-language-autonym="閩東語 / Mìng-dĕ̤ng-ngṳ̄" data-language-local-name="Mindong" class="interlanguage-link-target"><span>閩東語 / Mìng-dĕ̤ng-ngṳ̄</span></a></li><li class="interlanguage-link interwiki-ce mw-list-item"><a href="https://ce.wikipedia.org/wiki/%D0%A1%D0%B8%D1%85%D0%B0%D0%BB%D0%BB%D0%B0" title="Сихалла – ချက်ချန်း" lang="ce" hreflang="ce" data-title="Сихалла" data-language-autonym="Нохчийн" data-language-local-name="ချက်ချန်း" class="interlanguage-link-target"><span>Нохчийн</span></a></li><li class="interlanguage-link interwiki-ceb mw-list-item"><a href="https://ceb.wikipedia.org/wiki/Tulin_(pisika)" title="Tulin (pisika) – စီဗူအာနို" lang="ceb" hreflang="ceb" data-title="Tulin (pisika)" data-language-autonym="Cebuano" data-language-local-name="စီဗူအာနို" class="interlanguage-link-target"><span>Cebuano</span></a></li><li class="interlanguage-link interwiki-ckb mw-list-item"><a href="https://ckb.wikipedia.org/wiki/%D8%AE%DB%8E%D8%B1%D8%A7%DB%8C%DB%8C_(%D9%81%DB%8C%D8%B2%DB%8C%DA%A9)" title="خێرایی (فیزیک) – ဗဟိုဒေသသုံး ကဒ်ဘာသာ" lang="ckb" hreflang="ckb" data-title="خێرایی (فیزیک)" data-language-autonym="کوردی" data-language-local-name="ဗဟိုဒေသသုံး ကဒ်ဘာသာ" class="interlanguage-link-target"><span>کوردی</span></a></li><li class="interlanguage-link interwiki-cs mw-list-item"><a href="https://cs.wikipedia.org/wiki/Rychlost" title="Rychlost – ချက်" lang="cs" hreflang="cs" data-title="Rychlost" data-language-autonym="Čeština" data-language-local-name="ချက်" class="interlanguage-link-target"><span>Čeština</span></a></li><li class="interlanguage-link interwiki-cv mw-list-item"><a href="https://cv.wikipedia.org/wiki/%D0%A5%C4%83%D0%B2%C4%83%D1%80%D1%82%D0%BB%C4%83%D1%85" title="Хăвăртлăх – ချူဗက်ရှ်" lang="cv" hreflang="cv" data-title="Хăвăртлăх" data-language-autonym="Чӑвашла" data-language-local-name="ချူဗက်ရှ်" class="interlanguage-link-target"><span>Чӑвашла</span></a></li><li class="interlanguage-link interwiki-cy mw-list-item"><a href="https://cy.wikipedia.org/wiki/Cyflymder" title="Cyflymder – ဝေလ" lang="cy" hreflang="cy" data-title="Cyflymder" data-language-autonym="Cymraeg" data-language-local-name="ဝေလ" class="interlanguage-link-target"><span>Cymraeg</span></a></li><li class="interlanguage-link interwiki-da mw-list-item"><a href="https://da.wikipedia.org/wiki/Hastighed" title="Hastighed – ဒိန်းမတ်" lang="da" hreflang="da" data-title="Hastighed" data-language-autonym="Dansk" data-language-local-name="ဒိန်းမတ်" class="interlanguage-link-target"><span>Dansk</span></a></li><li class="interlanguage-link interwiki-de mw-list-item"><a href="https://de.wikipedia.org/wiki/Geschwindigkeit" title="Geschwindigkeit – ဂျာမန်" lang="de" hreflang="de" data-title="Geschwindigkeit" data-language-autonym="Deutsch" data-language-local-name="ဂျာမန်" class="interlanguage-link-target"><span>Deutsch</span></a></li><li class="interlanguage-link interwiki-el mw-list-item"><a href="https://el.wikipedia.org/wiki/%CE%A4%CE%B1%CF%87%CF%8D%CF%84%CE%B7%CF%84%CE%B1" title="Ταχύτητα – ဂရိ" lang="el" hreflang="el" data-title="Ταχύτητα" data-language-autonym="Ελληνικά" data-language-local-name="ဂရိ" class="interlanguage-link-target"><span>Ελληνικά</span></a></li><li class="interlanguage-link interwiki-en mw-list-item"><a href="https://en.wikipedia.org/wiki/Velocity" title="Velocity – အင်္ဂလိပ်" lang="en" hreflang="en" data-title="Velocity" data-language-autonym="English" data-language-local-name="အင်္ဂလိပ်" class="interlanguage-link-target"><span>English</span></a></li><li class="interlanguage-link interwiki-eo mw-list-item"><a href="https://eo.wikipedia.org/wiki/Vektora_rapido" title="Vektora rapido – အက်စ်ပရန်တို" lang="eo" hreflang="eo" data-title="Vektora rapido" data-language-autonym="Esperanto" data-language-local-name="အက်စ်ပရန်တို" class="interlanguage-link-target"><span>Esperanto</span></a></li><li class="interlanguage-link interwiki-es mw-list-item"><a href="https://es.wikipedia.org/wiki/Velocidad" title="Velocidad – စပိန်" lang="es" hreflang="es" data-title="Velocidad" data-language-autonym="Español" data-language-local-name="စပိန်" class="interlanguage-link-target"><span>Español</span></a></li><li class="interlanguage-link interwiki-et mw-list-item"><a href="https://et.wikipedia.org/wiki/Kiirus" title="Kiirus – အက်စ်တိုးနီးယား" lang="et" hreflang="et" data-title="Kiirus" data-language-autonym="Eesti" data-language-local-name="အက်စ်တိုးနီးယား" class="interlanguage-link-target"><span>Eesti</span></a></li><li class="interlanguage-link interwiki-eu mw-list-item"><a href="https://eu.wikipedia.org/wiki/Abiadura" title="Abiadura – ဘာစ်ခ်" lang="eu" hreflang="eu" data-title="Abiadura" data-language-autonym="Euskara" data-language-local-name="ဘာစ်ခ်" class="interlanguage-link-target"><span>Euskara</span></a></li><li class="interlanguage-link interwiki-ext mw-list-item"><a href="https://ext.wikipedia.org/wiki/Velocid%C3%A1" title="Velocidá – Extremaduran" lang="ext" hreflang="ext" data-title="Velocidá" data-language-autonym="Estremeñu" data-language-local-name="Extremaduran" class="interlanguage-link-target"><span>Estremeñu</span></a></li><li class="interlanguage-link interwiki-fa mw-list-item"><a href="https://fa.wikipedia.org/wiki/%D8%B3%D8%B1%D8%B9%D8%AA_%D8%A8%D8%B1%D8%AF%D8%A7%D8%B1%DB%8C" title="سرعت برداری – ပါရှန်" lang="fa" hreflang="fa" data-title="سرعت برداری" data-language-autonym="فارسی" data-language-local-name="ပါရှန်" class="interlanguage-link-target"><span>فارسی</span></a></li><li class="interlanguage-link interwiki-fi mw-list-item"><a href="https://fi.wikipedia.org/wiki/Nopeus" title="Nopeus – ဖင်လန်" lang="fi" hreflang="fi" data-title="Nopeus" data-language-autonym="Suomi" data-language-local-name="ဖင်လန်" class="interlanguage-link-target"><span>Suomi</span></a></li><li class="interlanguage-link interwiki-fiu-vro mw-list-item"><a href="https://fiu-vro.wikipedia.org/wiki/Kib%C3%B5husvektor" title="Kibõhusvektor – Võro" lang="vro" hreflang="vro" data-title="Kibõhusvektor" data-language-autonym="Võro" data-language-local-name="Võro" class="interlanguage-link-target"><span>Võro</span></a></li><li class="interlanguage-link interwiki-fr mw-list-item"><a href="https://fr.wikipedia.org/wiki/Vecteur_vitesse" title="Vecteur vitesse – ပြင်သစ်" lang="fr" hreflang="fr" data-title="Vecteur vitesse" data-language-autonym="Français" data-language-local-name="ပြင်သစ်" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-frr mw-list-item"><a href="https://frr.wikipedia.org/wiki/Faard" title="Faard – မြောက် ဖရီစီရန်" lang="frr" hreflang="frr" data-title="Faard" data-language-autonym="Nordfriisk" data-language-local-name="မြောက် ဖရီစီရန်" class="interlanguage-link-target"><span>Nordfriisk</span></a></li><li class="interlanguage-link interwiki-fy mw-list-item"><a href="https://fy.wikipedia.org/wiki/Faasje" title="Faasje – အနောက် ဖရီစီရန်" lang="fy" hreflang="fy" data-title="Faasje" data-language-autonym="Frysk" data-language-local-name="အနောက် ဖရီစီရန်" class="interlanguage-link-target"><span>Frysk</span></a></li><li class="interlanguage-link interwiki-ga mw-list-item"><a href="https://ga.wikipedia.org/wiki/Treoluas" title="Treoluas – အိုင်းရစ်ရှ်" lang="ga" hreflang="ga" data-title="Treoluas" data-language-autonym="Gaeilge" data-language-local-name="အိုင်းရစ်ရှ်" class="interlanguage-link-target"><span>Gaeilge</span></a></li><li class="interlanguage-link interwiki-gl mw-list-item"><a href="https://gl.wikipedia.org/wiki/Velocidade" title="Velocidade – ဂါလီစီယာ" lang="gl" hreflang="gl" data-title="Velocidade" data-language-autonym="Galego" data-language-local-name="ဂါလီစီယာ" class="interlanguage-link-target"><span>Galego</span></a></li><li class="interlanguage-link interwiki-gv mw-list-item"><a href="https://gv.wikipedia.org/wiki/Bieauid-jeerit" title="Bieauid-jeerit – မန်းဇ်" lang="gv" hreflang="gv" data-title="Bieauid-jeerit" data-language-autonym="Gaelg" data-language-local-name="မန်းဇ်" class="interlanguage-link-target"><span>Gaelg</span></a></li><li class="interlanguage-link interwiki-he mw-list-item"><a href="https://he.wikipedia.org/wiki/%D7%9E%D7%94%D7%99%D7%A8%D7%95%D7%AA" title="מהירות – ဟီဘရူး" lang="he" hreflang="he" data-title="מהירות" data-language-autonym="עברית" data-language-local-name="ဟီဘရူး" class="interlanguage-link-target"><span>עברית</span></a></li><li class="interlanguage-link interwiki-hi mw-list-item"><a href="https://hi.wikipedia.org/wiki/%E0%A4%B5%E0%A5%87%E0%A4%97" title="वेग – ဟိန်ဒူ" lang="hi" hreflang="hi" data-title="वेग" data-language-autonym="हिन्दी" data-language-local-name="ဟိန်ဒူ" class="interlanguage-link-target"><span>हिन्दी</span></a></li><li class="interlanguage-link interwiki-hif mw-list-item"><a href="https://hif.wikipedia.org/wiki/Raftaar" title="Raftaar – Fiji Hindi" lang="hif" hreflang="hif" data-title="Raftaar" data-language-autonym="Fiji Hindi" data-language-local-name="Fiji Hindi" class="interlanguage-link-target"><span>Fiji Hindi</span></a></li><li class="interlanguage-link interwiki-hr mw-list-item"><a href="https://hr.wikipedia.org/wiki/Brzina" title="Brzina – ခရိုအေးရှား" lang="hr" hreflang="hr" data-title="Brzina" data-language-autonym="Hrvatski" data-language-local-name="ခရိုအေးရှား" class="interlanguage-link-target"><span>Hrvatski</span></a></li><li class="interlanguage-link interwiki-ht mw-list-item"><a href="https://ht.wikipedia.org/wiki/Velosite" title="Velosite – ဟေတီ" lang="ht" hreflang="ht" data-title="Velosite" data-language-autonym="Kreyòl ayisyen" data-language-local-name="ဟေတီ" class="interlanguage-link-target"><span>Kreyòl ayisyen</span></a></li><li class="interlanguage-link interwiki-hu mw-list-item"><a href="https://hu.wikipedia.org/wiki/Sebess%C3%A9g" title="Sebesség – ဟန်ဂေရီ" lang="hu" hreflang="hu" data-title="Sebesség" data-language-autonym="Magyar" data-language-local-name="ဟန်ဂေရီ" class="interlanguage-link-target"><span>Magyar</span></a></li><li class="interlanguage-link interwiki-hy mw-list-item"><a href="https://hy.wikipedia.org/wiki/%D4%B1%D6%80%D5%A1%D5%A3%D5%B8%D6%82%D5%A9%D5%B5%D5%B8%D6%82%D5%B6" title="Արագություն – အာမေးနီးယား" lang="hy" hreflang="hy" data-title="Արագություն" data-language-autonym="Հայերեն" data-language-local-name="အာမေးနီးယား" class="interlanguage-link-target"><span>Հայերեն</span></a></li><li class="interlanguage-link interwiki-ia mw-list-item"><a href="https://ia.wikipedia.org/wiki/Velocitate" title="Velocitate – အင်တာလင်ဂွါ" lang="ia" hreflang="ia" data-title="Velocitate" data-language-autonym="Interlingua" data-language-local-name="အင်တာလင်ဂွါ" class="interlanguage-link-target"><span>Interlingua</span></a></li><li class="interlanguage-link interwiki-id mw-list-item"><a href="https://id.wikipedia.org/wiki/Kecepatan" title="Kecepatan – အင်ဒိုနီးရှား" lang="id" hreflang="id" data-title="Kecepatan" data-language-autonym="Bahasa Indonesia" data-language-local-name="အင်ဒိုနီးရှား" class="interlanguage-link-target"><span>Bahasa Indonesia</span></a></li><li class="interlanguage-link interwiki-ie mw-list-item"><a href="https://ie.wikipedia.org/wiki/Velocit%C3%A1" title="Velocitá – Interlingue" lang="ie" hreflang="ie" data-title="Velocitá" data-language-autonym="Interlingue" data-language-local-name="Interlingue" class="interlanguage-link-target"><span>Interlingue</span></a></li><li class="interlanguage-link interwiki-is mw-list-item"><a href="https://is.wikipedia.org/wiki/Hra%C3%B0i" title="Hraði – အိုက်စ်လန်" lang="is" hreflang="is" data-title="Hraði" data-language-autonym="Íslenska" data-language-local-name="အိုက်စ်လန်" class="interlanguage-link-target"><span>Íslenska</span></a></li><li class="interlanguage-link interwiki-it mw-list-item"><a href="https://it.wikipedia.org/wiki/Velocit%C3%A0" title="Velocità – အီတလီ" lang="it" hreflang="it" data-title="Velocità" data-language-autonym="Italiano" data-language-local-name="အီတလီ" class="interlanguage-link-target"><span>Italiano</span></a></li><li class="interlanguage-link interwiki-ja mw-list-item"><a href="https://ja.wikipedia.org/wiki/%E9%80%9F%E5%BA%A6" title="速度 – ဂျပန်" lang="ja" hreflang="ja" data-title="速度" data-language-autonym="日本語" data-language-local-name="ဂျပန်" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-jv mw-list-item"><a href="https://jv.wikipedia.org/wiki/Kacepetan" title="Kacepetan – ဂျာဗား" lang="jv" hreflang="jv" data-title="Kacepetan" data-language-autonym="Jawa" data-language-local-name="ဂျာဗား" class="interlanguage-link-target"><span>Jawa</span></a></li><li class="interlanguage-link interwiki-ka mw-list-item"><a href="https://ka.wikipedia.org/wiki/%E1%83%A1%E1%83%98%E1%83%A9%E1%83%A5%E1%83%90%E1%83%A0%E1%83%94" title="სიჩქარე – ဂျော်ဂျီယာ" lang="ka" hreflang="ka" data-title="სიჩქარე" data-language-autonym="ქართული" data-language-local-name="ဂျော်ဂျီယာ" class="interlanguage-link-target"><span>ქართული</span></a></li><li class="interlanguage-link interwiki-kab mw-list-item"><a href="https://kab.wikipedia.org/wiki/Arured_amaway" title="Arured amaway – ကဘိုင်လ်" lang="kab" hreflang="kab" data-title="Arured amaway" data-language-autonym="Taqbaylit" data-language-local-name="ကဘိုင်လ်" class="interlanguage-link-target"><span>Taqbaylit</span></a></li><li class="interlanguage-link interwiki-kk mw-list-item"><a href="https://kk.wikipedia.org/wiki/%D0%96%D1%8B%D0%BB%D0%B4%D0%B0%D0%BC%D0%B4%D1%8B%D2%9B" title="Жылдамдық – ကာဇာချ" lang="kk" hreflang="kk" data-title="Жылдамдық" data-language-autonym="Қазақша" data-language-local-name="ကာဇာချ" class="interlanguage-link-target"><span>Қазақша</span></a></li><li class="interlanguage-link interwiki-km mw-list-item"><a href="https://km.wikipedia.org/wiki/%E1%9E%9B%E1%9F%92%E1%9E%94%E1%9E%BF%E1%9E%93" title="ល្បឿន – ခမာ" lang="km" hreflang="km" data-title="ល្បឿន" data-language-autonym="ភាសាខ្មែរ" data-language-local-name="ခမာ" class="interlanguage-link-target"><span>ភាសាខ្មែរ</span></a></li><li class="interlanguage-link interwiki-kn mw-list-item"><a href="https://kn.wikipedia.org/wiki/%E0%B2%B5%E0%B3%87%E0%B2%97" title="ವೇಗ – ကန်နာဒါ" lang="kn" hreflang="kn" data-title="ವೇಗ" data-language-autonym="ಕನ್ನಡ" data-language-local-name="ကန်နာဒါ" class="interlanguage-link-target"><span>ಕನ್ನಡ</span></a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/%EC%86%8D%EB%8F%84" title="속도 – ကိုရီးယား" lang="ko" hreflang="ko" data-title="속도" data-language-autonym="한국어" data-language-local-name="ကိုရီးယား" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-ks mw-list-item"><a href="https://ks.wikipedia.org/wiki/%D9%88%DB%8C%D9%96%DA%AF" title="ویٖگ – ကက်ရှ်မီးယား" lang="ks" hreflang="ks" data-title="ویٖگ" data-language-autonym="कॉशुर / کٲشُر" data-language-local-name="ကက်ရှ်မီးယား" class="interlanguage-link-target"><span>कॉशुर / کٲشُر</span></a></li><li class="interlanguage-link interwiki-kw mw-list-item"><a href="https://kw.wikipedia.org/wiki/Uskitter" title="Uskitter – ခိုနီရှ်" lang="kw" hreflang="kw" data-title="Uskitter" data-language-autonym="Kernowek" data-language-local-name="ခိုနီရှ်" class="interlanguage-link-target"><span>Kernowek</span></a></li><li class="interlanguage-link interwiki-la mw-list-item"><a href="https://la.wikipedia.org/wiki/Velocitas" title="Velocitas – လက်တင်" lang="la" hreflang="la" data-title="Velocitas" data-language-autonym="Latina" data-language-local-name="လက်တင်" class="interlanguage-link-target"><span>Latina</span></a></li><li class="interlanguage-link interwiki-lfn mw-list-item"><a href="https://lfn.wikipedia.org/wiki/Rapidia_vetoral" title="Rapidia vetoral – Lingua Franca Nova" lang="lfn" hreflang="lfn" data-title="Rapidia vetoral" data-language-autonym="Lingua Franca Nova" data-language-local-name="Lingua Franca Nova" class="interlanguage-link-target"><span>Lingua Franca Nova</span></a></li><li class="interlanguage-link interwiki-li mw-list-item"><a href="https://li.wikipedia.org/wiki/Snelheid" title="Snelheid – လင်ဘာဂစ်ရှ်" lang="li" hreflang="li" data-title="Snelheid" data-language-autonym="Limburgs" data-language-local-name="လင်ဘာဂစ်ရှ်" class="interlanguage-link-target"><span>Limburgs</span></a></li><li class="interlanguage-link interwiki-lmo mw-list-item"><a href="https://lmo.wikipedia.org/wiki/Velocitaa" title="Velocitaa – Lombard" lang="lmo" hreflang="lmo" data-title="Velocitaa" data-language-autonym="Lombard" data-language-local-name="Lombard" class="interlanguage-link-target"><span>Lombard</span></a></li><li class="interlanguage-link interwiki-lt mw-list-item"><a href="https://lt.wikipedia.org/wiki/Vektorinis_greitis" title="Vektorinis greitis – လစ်သူဝေးနီးယား" lang="lt" hreflang="lt" data-title="Vektorinis greitis" data-language-autonym="Lietuvių" data-language-local-name="လစ်သူဝေးနီးယား" class="interlanguage-link-target"><span>Lietuvių</span></a></li><li class="interlanguage-link interwiki-lv mw-list-item"><a href="https://lv.wikipedia.org/wiki/%C4%80trums" title="Ātrums – လတ်ဗီးယား" lang="lv" hreflang="lv" data-title="Ātrums" data-language-autonym="Latviešu" data-language-local-name="လတ်ဗီးယား" class="interlanguage-link-target"><span>Latviešu</span></a></li><li class="interlanguage-link interwiki-mg mw-list-item"><a href="https://mg.wikipedia.org/wiki/Hafainganam-pandeha" title="Hafainganam-pandeha – မာလဂက်စီ" lang="mg" hreflang="mg" data-title="Hafainganam-pandeha" data-language-autonym="Malagasy" data-language-local-name="မာလဂက်စီ" class="interlanguage-link-target"><span>Malagasy</span></a></li><li class="interlanguage-link interwiki-min mw-list-item"><a href="https://min.wikipedia.org/wiki/Laju" title="Laju – စူကူမီနန်" lang="min" hreflang="min" data-title="Laju" data-language-autonym="Minangkabau" data-language-local-name="စူကူမီနန်" class="interlanguage-link-target"><span>Minangkabau</span></a></li><li class="interlanguage-link interwiki-mk mw-list-item"><a href="https://mk.wikipedia.org/wiki/%D0%91%D1%80%D0%B7%D0%B8%D0%BD%D0%B0" title="Брзина – မက်ဆီဒိုးနီးယား" lang="mk" hreflang="mk" data-title="Брзина" data-language-autonym="Македонски" data-language-local-name="မက်ဆီဒိုးနီးယား" class="interlanguage-link-target"><span>Македонски</span></a></li><li class="interlanguage-link interwiki-ml mw-list-item"><a href="https://ml.wikipedia.org/wiki/%E0%B4%AA%E0%B5%8D%E0%B4%B0%E0%B4%B5%E0%B5%87%E0%B4%97%E0%B4%82" title="പ്രവേഗം – မလေယာလမ်" lang="ml" hreflang="ml" data-title="പ്രവേഗം" data-language-autonym="മലയാളം" data-language-local-name="မလေယာလမ်" class="interlanguage-link-target"><span>മലയാളം</span></a></li><li class="interlanguage-link interwiki-mn mw-list-item"><a href="https://mn.wikipedia.org/wiki/%D0%A5%D1%83%D1%80%D0%B4" title="Хурд – မွန်ဂိုလီးယား" lang="mn" hreflang="mn" data-title="Хурд" data-language-autonym="Монгол" data-language-local-name="မွန်ဂိုလီးယား" class="interlanguage-link-target"><span>Монгол</span></a></li><li class="interlanguage-link interwiki-mr mw-list-item"><a href="https://mr.wikipedia.org/wiki/%E0%A4%B5%E0%A5%87%E0%A4%97" title="वेग – မာရသီ" lang="mr" hreflang="mr" data-title="वेग" data-language-autonym="मराठी" data-language-local-name="မာရသီ" class="interlanguage-link-target"><span>मराठी</span></a></li><li class="interlanguage-link interwiki-ms mw-list-item"><a href="https://ms.wikipedia.org/wiki/Halaju" title="Halaju – မလေး" lang="ms" hreflang="ms" data-title="Halaju" data-language-autonym="Bahasa Melayu" data-language-local-name="မလေး" class="interlanguage-link-target"><span>Bahasa Melayu</span></a></li><li class="interlanguage-link interwiki-myv mw-list-item"><a href="https://myv.wikipedia.org/wiki/%D0%9C%D0%BE%D0%BB%D0%B5%D0%B2%D0%BA%D1%81" title="Молевкс – အီဇယာ" lang="myv" hreflang="myv" data-title="Молевкс" data-language-autonym="Эрзянь" data-language-local-name="အီဇယာ" class="interlanguage-link-target"><span>Эрзянь</span></a></li><li class="interlanguage-link interwiki-nds mw-list-item"><a href="https://nds.wikipedia.org/wiki/Snelligkeid" title="Snelligkeid – အနိမ့် ဂျာမန်" lang="nds" hreflang="nds" data-title="Snelligkeid" data-language-autonym="Plattdüütsch" data-language-local-name="အနိမ့် ဂျာမန်" class="interlanguage-link-target"><span>Plattdüütsch</span></a></li><li class="interlanguage-link interwiki-ne mw-list-item"><a href="https://ne.wikipedia.org/wiki/%E0%A4%97%E0%A4%A4%E0%A4%BF" title="गति – နီပေါ" lang="ne" hreflang="ne" data-title="गति" data-language-autonym="नेपाली" data-language-local-name="နီပေါ" class="interlanguage-link-target"><span>नेपाली</span></a></li><li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/Snelheid" title="Snelheid – ဒတ်ခ်ျ" lang="nl" hreflang="nl" data-title="Snelheid" data-language-autonym="Nederlands" data-language-local-name="ဒတ်ခ်ျ" class="interlanguage-link-target"><span>Nederlands</span></a></li><li class="interlanguage-link interwiki-nn mw-list-item"><a href="https://nn.wikipedia.org/wiki/Hastigheit" title="Hastigheit – နော်ဝေ နီးနောစ်" lang="nn" hreflang="nn" data-title="Hastigheit" data-language-autonym="Norsk nynorsk" data-language-local-name="နော်ဝေ နီးနောစ်" class="interlanguage-link-target"><span>Norsk nynorsk</span></a></li><li class="interlanguage-link interwiki-no mw-list-item"><a href="https://no.wikipedia.org/wiki/Hastighet" title="Hastighet – နော်ဝေ ဘွတ်ခ်မော်လ်" lang="nb" hreflang="nb" data-title="Hastighet" data-language-autonym="Norsk bokmål" data-language-local-name="နော်ဝေ ဘွတ်ခ်မော်လ်" class="interlanguage-link-target"><span>Norsk bokmål</span></a></li><li class="interlanguage-link interwiki-oc mw-list-item"><a href="https://oc.wikipedia.org/wiki/Velocitat" title="Velocitat – အိုစီတန်" lang="oc" hreflang="oc" data-title="Velocitat" data-language-autonym="Occitan" data-language-local-name="အိုစီတန်" class="interlanguage-link-target"><span>Occitan</span></a></li><li class="interlanguage-link interwiki-om mw-list-item"><a href="https://om.wikipedia.org/wiki/Ariitii" title="Ariitii – အိုရိုမို" lang="om" hreflang="om" data-title="Ariitii" data-language-autonym="Oromoo" data-language-local-name="အိုရိုမို" class="interlanguage-link-target"><span>Oromoo</span></a></li><li class="interlanguage-link interwiki-pa mw-list-item"><a href="https://pa.wikipedia.org/wiki/%E0%A8%B5%E0%A9%87%E0%A8%97" title="ਵੇਗ – ပန်ချာပီ" lang="pa" hreflang="pa" data-title="ਵੇਗ" data-language-autonym="ਪੰਜਾਬੀ" data-language-local-name="ပန်ချာပီ" class="interlanguage-link-target"><span>ਪੰਜਾਬੀ</span></a></li><li class="interlanguage-link interwiki-pl mw-list-item"><a href="https://pl.wikipedia.org/wiki/Pr%C4%99dko%C5%9B%C4%87" title="Prędkość – ပိုလန်" lang="pl" hreflang="pl" data-title="Prędkość" data-language-autonym="Polski" data-language-local-name="ပိုလန်" class="interlanguage-link-target"><span>Polski</span></a></li><li class="interlanguage-link interwiki-pms mw-list-item"><a href="https://pms.wikipedia.org/wiki/Andi" title="Andi – Piedmontese" lang="pms" hreflang="pms" data-title="Andi" data-language-autonym="Piemontèis" data-language-local-name="Piedmontese" class="interlanguage-link-target"><span>Piemontèis</span></a></li><li class="interlanguage-link interwiki-pnb mw-list-item"><a href="https://pnb.wikipedia.org/wiki/%D9%88%D9%84%D8%A7%D8%B3%D9%B9%DB%8C" title="ولاسٹی – Western Punjabi" lang="pnb" hreflang="pnb" data-title="ولاسٹی" data-language-autonym="پنجابی" data-language-local-name="Western Punjabi" class="interlanguage-link-target"><span>پنجابی</span></a></li><li class="interlanguage-link interwiki-pt mw-list-item"><a href="https://pt.wikipedia.org/wiki/Velocidade" title="Velocidade – ပေါ်တူဂီ" lang="pt" hreflang="pt" data-title="Velocidade" data-language-autonym="Português" data-language-local-name="ပေါ်တူဂီ" class="interlanguage-link-target"><span>Português</span></a></li><li class="interlanguage-link interwiki-qu mw-list-item"><a href="https://qu.wikipedia.org/wiki/Utqa_kay" title="Utqa kay – ခီချူဝါအိုဝါ" lang="qu" hreflang="qu" data-title="Utqa kay" data-language-autonym="Runa Simi" data-language-local-name="ခီချူဝါအိုဝါ" class="interlanguage-link-target"><span>Runa Simi</span></a></li><li class="interlanguage-link interwiki-ro mw-list-item"><a href="https://ro.wikipedia.org/wiki/Vitez%C4%83" title="Viteză – ရိုမေနီယား" lang="ro" hreflang="ro" data-title="Viteză" data-language-autonym="Română" data-language-local-name="ရိုမေနီယား" class="interlanguage-link-target"><span>Română</span></a></li><li class="interlanguage-link interwiki-ru mw-list-item"><a href="https://ru.wikipedia.org/wiki/%D0%A1%D0%BA%D0%BE%D1%80%D0%BE%D1%81%D1%82%D1%8C" title="Скорость – ရုရှ" lang="ru" hreflang="ru" data-title="Скорость" data-language-autonym="Русский" data-language-local-name="ရုရှ" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-rue mw-list-item"><a href="https://rue.wikipedia.org/wiki/%D0%A8%D0%B2%D1%8B%D0%B4%D0%BA%D0%BE%D1%81%D1%82%D1%8C" title="Швыдкость – Rusyn" lang="rue" hreflang="rue" data-title="Швыдкость" data-language-autonym="Русиньскый" data-language-local-name="Rusyn" class="interlanguage-link-target"><span>Русиньскый</span></a></li><li class="interlanguage-link interwiki-sc badge-Q17437796 badge-featuredarticle mw-list-item" title="အထူးဆောင်းပါးတံဆိပ်"><a href="https://sc.wikipedia.org/wiki/Velotzidade" title="Velotzidade – ဆာဒီနီးယား" lang="sc" hreflang="sc" data-title="Velotzidade" data-language-autonym="Sardu" data-language-local-name="ဆာဒီနီးယား" class="interlanguage-link-target"><span>Sardu</span></a></li><li class="interlanguage-link interwiki-sd mw-list-item"><a href="https://sd.wikipedia.org/wiki/%D9%88%D9%8A%D9%84%D8%A7%D8%B3%D9%BD%D9%8A" title="ويلاسٽي – စင်ဒီ" lang="sd" hreflang="sd" data-title="ويلاسٽي" data-language-autonym="سنڌي" data-language-local-name="စင်ဒီ" class="interlanguage-link-target"><span>سنڌي</span></a></li><li class="interlanguage-link interwiki-sh mw-list-item"><a href="https://sh.wikipedia.org/wiki/Brzina" title="Brzina – Serbo-Croatian" lang="sh" hreflang="sh" data-title="Brzina" data-language-autonym="Srpskohrvatski / српскохрватски" data-language-local-name="Serbo-Croatian" class="interlanguage-link-target"><span>Srpskohrvatski / српскохрватски</span></a></li><li class="interlanguage-link interwiki-si mw-list-item"><a href="https://si.wikipedia.org/wiki/%E0%B6%B4%E0%B7%8A%E2%80%8D%E0%B6%BB%E0%B7%80%E0%B7%9A%E0%B6%9C%E0%B6%BA" title="ප්‍රවේගය – စင်ဟာလာ" lang="si" hreflang="si" data-title="ප්‍රවේගය" data-language-autonym="සිංහල" data-language-local-name="စင်ဟာလာ" class="interlanguage-link-target"><span>සිංහල</span></a></li><li class="interlanguage-link interwiki-simple mw-list-item"><a href="https://simple.wikipedia.org/wiki/Velocity" title="Velocity – Simple English" lang="en-simple" hreflang="en-simple" data-title="Velocity" data-language-autonym="Simple English" data-language-local-name="Simple English" class="interlanguage-link-target"><span>Simple English</span></a></li><li class="interlanguage-link interwiki-sk mw-list-item"><a href="https://sk.wikipedia.org/wiki/R%C3%BDchlos%C5%A5_(fyzik%C3%A1lna_veli%C4%8Dina)" title="Rýchlosť (fyzikálna veličina) – ဆလိုဗက်" lang="sk" hreflang="sk" data-title="Rýchlosť (fyzikálna veličina)" data-language-autonym="Slovenčina" data-language-local-name="ဆလိုဗက်" class="interlanguage-link-target"><span>Slovenčina</span></a></li><li class="interlanguage-link interwiki-sl mw-list-item"><a href="https://sl.wikipedia.org/wiki/Hitrost" title="Hitrost – ဆလိုဗေးနီးယား" lang="sl" hreflang="sl" data-title="Hitrost" data-language-autonym="Slovenščina" data-language-local-name="ဆလိုဗေးနီးယား" class="interlanguage-link-target"><span>Slovenščina</span></a></li><li class="interlanguage-link interwiki-smn mw-list-item"><a href="https://smn.wikipedia.org/wiki/Li%C3%A4htu" title="Liähtu – အီနာရီ ဆာမိ" lang="smn" hreflang="smn" data-title="Liähtu" data-language-autonym="Anarâškielâ" data-language-local-name="အီနာရီ ဆာမိ" class="interlanguage-link-target"><span>Anarâškielâ</span></a></li><li class="interlanguage-link interwiki-sn mw-list-item"><a href="https://sn.wikipedia.org/wiki/Muchacha" title="Muchacha – ရှိုနာ" lang="sn" hreflang="sn" data-title="Muchacha" data-language-autonym="ChiShona" data-language-local-name="ရှိုနာ" class="interlanguage-link-target"><span>ChiShona</span></a></li><li class="interlanguage-link interwiki-sq mw-list-item"><a href="https://sq.wikipedia.org/wiki/Shpejt%C3%ABsia_(fizik%C3%AB)" title="Shpejtësia (fizikë) – အယ်လ်ဘေးနီးယား" lang="sq" hreflang="sq" data-title="Shpejtësia (fizikë)" data-language-autonym="Shqip" data-language-local-name="အယ်လ်ဘေးနီးယား" class="interlanguage-link-target"><span>Shqip</span></a></li><li class="interlanguage-link interwiki-sr mw-list-item"><a href="https://sr.wikipedia.org/wiki/%D0%91%D1%80%D0%B7%D0%B8%D0%BD%D0%B0" title="Брзина – ဆားဘီးယား" lang="sr" hreflang="sr" data-title="Брзина" data-language-autonym="Српски / srpski" data-language-local-name="ဆားဘီးယား" class="interlanguage-link-target"><span>Српски / srpski</span></a></li><li class="interlanguage-link interwiki-sv mw-list-item"><a href="https://sv.wikipedia.org/wiki/Hastighet" title="Hastighet – ဆွီဒင်" lang="sv" hreflang="sv" data-title="Hastighet" data-language-autonym="Svenska" data-language-local-name="ဆွီဒင်" class="interlanguage-link-target"><span>Svenska</span></a></li><li class="interlanguage-link interwiki-sw mw-list-item"><a href="https://sw.wikipedia.org/wiki/Kasimwelekeo" title="Kasimwelekeo – ဆွာဟီလီ" lang="sw" hreflang="sw" data-title="Kasimwelekeo" data-language-autonym="Kiswahili" data-language-local-name="ဆွာဟီလီ" class="interlanguage-link-target"><span>Kiswahili</span></a></li><li class="interlanguage-link interwiki-ta mw-list-item"><a href="https://ta.wikipedia.org/wiki/%E0%AE%A4%E0%AE%BF%E0%AE%9A%E0%AF%88%E0%AE%B5%E0%AF%87%E0%AE%95%E0%AE%AE%E0%AF%8D" title="திசைவேகம் – တမီးလ်" lang="ta" hreflang="ta" data-title="திசைவேகம்" data-language-autonym="தமிழ்" data-language-local-name="တမီးလ်" class="interlanguage-link-target"><span>தமிழ்</span></a></li><li class="interlanguage-link interwiki-te mw-list-item"><a href="https://te.wikipedia.org/wiki/%E0%B0%B5%E0%B1%87%E0%B0%97%E0%B0%82" title="వేగం – တီလီဂူ" lang="te" hreflang="te" data-title="వేగం" data-language-autonym="తెలుగు" data-language-local-name="တီလီဂူ" class="interlanguage-link-target"><span>తెలుగు</span></a></li><li class="interlanguage-link interwiki-tg mw-list-item"><a href="https://tg.wikipedia.org/wiki/%D0%A1%D1%83%D1%80%D1%8A%D0%B0%D1%82" title="Суръат – တာဂျစ်" lang="tg" hreflang="tg" data-title="Суръат" data-language-autonym="Тоҷикӣ" data-language-local-name="တာဂျစ်" class="interlanguage-link-target"><span>Тоҷикӣ</span></a></li><li class="interlanguage-link interwiki-th mw-list-item"><a href="https://th.wikipedia.org/wiki/%E0%B8%84%E0%B8%A7%E0%B8%B2%E0%B8%A1%E0%B9%80%E0%B8%A3%E0%B9%87%E0%B8%A7" title="ความเร็ว – ထိုင်း" lang="th" hreflang="th" data-title="ความเร็ว" data-language-autonym="ไทย" data-language-local-name="ထိုင်း" class="interlanguage-link-target"><span>ไทย</span></a></li><li class="interlanguage-link interwiki-tl mw-list-item"><a href="https://tl.wikipedia.org/wiki/Tulin" title="Tulin – Tagalog" lang="tl" hreflang="tl" data-title="Tulin" data-language-autonym="Tagalog" data-language-local-name="Tagalog" class="interlanguage-link-target"><span>Tagalog</span></a></li><li class="interlanguage-link interwiki-tr mw-list-item"><a href="https://tr.wikipedia.org/wiki/H%C4%B1z" title="Hız – တူရကီ" lang="tr" hreflang="tr" data-title="Hız" data-language-autonym="Türkçe" data-language-local-name="တူရကီ" class="interlanguage-link-target"><span>Türkçe</span></a></li><li class="interlanguage-link interwiki-tt mw-list-item"><a href="https://tt.wikipedia.org/wiki/%D0%A2%D0%B8%D0%B7%D0%BB%D0%B5%D0%BA" title="Тизлек – တာတာ" lang="tt" hreflang="tt" data-title="Тизлек" data-language-autonym="Татарча / tatarça" data-language-local-name="တာတာ" class="interlanguage-link-target"><span>Татарча / tatarça</span></a></li><li class="interlanguage-link interwiki-uk mw-list-item"><a href="https://uk.wikipedia.org/wiki/%D0%A8%D0%B2%D0%B8%D0%B4%D0%BA%D1%96%D1%81%D1%82%D1%8C" title="Швидкість – ယူကရိန်း" lang="uk" hreflang="uk" data-title="Швидкість" data-language-autonym="Українська" data-language-local-name="ယူကရိန်း" class="interlanguage-link-target"><span>Українська</span></a></li><li class="interlanguage-link interwiki-ur mw-list-item"><a href="https://ur.wikipedia.org/wiki/%D9%88%D9%84%D8%A7%D8%B3%D9%B9%DB%8C" title="ولاسٹی – အူရ်ဒူ" lang="ur" hreflang="ur" data-title="ولاسٹی" data-language-autonym="اردو" data-language-local-name="အူရ်ဒူ" class="interlanguage-link-target"><span>اردو</span></a></li><li class="interlanguage-link interwiki-uz mw-list-item"><a href="https://uz.wikipedia.org/wiki/Tezlik" title="Tezlik – ဥဇဘတ်" lang="uz" hreflang="uz" data-title="Tezlik" data-language-autonym="Oʻzbekcha / ўзбекча" data-language-local-name="ဥဇဘတ်" class="interlanguage-link-target"><span>Oʻzbekcha / ўзбекча</span></a></li><li class="interlanguage-link interwiki-vep mw-list-item"><a href="https://vep.wikipedia.org/wiki/Piguz" title="Piguz – Veps" lang="vep" hreflang="vep" data-title="Piguz" data-language-autonym="Vepsän kel’" data-language-local-name="Veps" class="interlanguage-link-target"><span>Vepsän kel’</span></a></li><li class="interlanguage-link interwiki-vi mw-list-item"><a href="https://vi.wikipedia.org/wiki/V%E1%BA%ADn_t%E1%BB%91c" title="Vận tốc – ဗီယက်နမ်" lang="vi" hreflang="vi" data-title="Vận tốc" data-language-autonym="Tiếng Việt" data-language-local-name="ဗီယက်နမ်" class="interlanguage-link-target"><span>Tiếng Việt</span></a></li><li class="interlanguage-link interwiki-war mw-list-item"><a href="https://war.wikipedia.org/wiki/Belosidad" title="Belosidad – ဝါရေး" lang="war" hreflang="war" data-title="Belosidad" data-language-autonym="Winaray" data-language-local-name="ဝါရေး" class="interlanguage-link-target"><span>Winaray</span></a></li><li class="interlanguage-link interwiki-wuu mw-list-item"><a href="https://wuu.wikipedia.org/wiki/%E9%80%9F%E5%BA%A6" title="速度 – ဝူ တရုတ်" lang="wuu" hreflang="wuu" data-title="速度" data-language-autonym="吴语" data-language-local-name="ဝူ တရုတ်" class="interlanguage-link-target"><span>吴语</span></a></li><li class="interlanguage-link interwiki-xh mw-list-item"><a href="https://xh.wikipedia.org/wiki/I-velocity" title="I-velocity – ဇိုစာ" lang="xh" hreflang="xh" data-title="I-velocity" data-language-autonym="IsiXhosa" data-language-local-name="ဇိုစာ" class="interlanguage-link-target"><span>IsiXhosa</span></a></li><li class="interlanguage-link interwiki-yi mw-list-item"><a href="https://yi.wikipedia.org/wiki/%D7%92%D7%99%D7%9B%D7%A7%D7%99%D7%99%D7%98" title="גיכקייט – ရဟူဒီ" lang="yi" hreflang="yi" data-title="גיכקייט" data-language-autonym="ייִדיש" data-language-local-name="ရဟူဒီ" class="interlanguage-link-target"><span>ייִדיש</span></a></li><li class="interlanguage-link interwiki-zh mw-list-item"><a href="https://zh.wikipedia.org/wiki/%E9%80%9F%E5%BA%A6" title="速度 – တရုတ်" lang="zh" hreflang="zh" data-title="速度" data-language-autonym="中文" data-language-local-name="တရုတ်" class="interlanguage-link-target"><span>中文</span></a></li><li class="interlanguage-link interwiki-zh-classical mw-list-item"><a href="https://zh-classical.wikipedia.org/wiki/%E9%80%9F%E5%BA%A6" title="速度 – Literary Chinese" lang="lzh" hreflang="lzh" data-title="速度" data-language-autonym="文言" data-language-local-name="Literary Chinese" class="interlanguage-link-target"><span>文言</span></a></li><li class="interlanguage-link interwiki-zh-min-nan mw-list-item"><a href="https://zh-min-nan.wikipedia.org/wiki/Sok-t%C5%8D%CD%98" title="Sok-tō͘ – Minnan" lang="nan" hreflang="nan" data-title="Sok-tō͘" data-language-autonym="閩南語 / Bân-lâm-gú" data-language-local-name="Minnan" class="interlanguage-link-target"><span>閩南語 / Bân-lâm-gú</span></a></li><li class="interlanguage-link interwiki-zh-yue mw-list-item"><a href="https://zh-yue.wikipedia.org/wiki/%E9%80%9F%E5%BA%A6" title="速度 – ကွမ်းတုံ" lang="yue" hreflang="yue" data-title="速度" data-language-autonym="粵語" data-language-local-name="ကွမ်းတုံ" class="interlanguage-link-target"><span>粵語</span></a></li> </ul> <div class="after-portlet after-portlet-lang"><span class="wb-langlinks-edit wb-langlinks-link"><a href="https://www.wikidata.org/wiki/Special:EntityPage/Q11465#sitelinks-wikipedia" title="ဘာသာစကားလင့်ခ်များကို တည်းဖြတ်ရန်" class="wbc-editpage">လင့်ခ်များကို တည်းဖြတ်ရန်</a></span></div> </div> </div> </div> </header> <div class="vector-page-toolbar"> <div class="vector-page-toolbar-container"> <div id="left-navigation"> <nav aria-label="အမည်ညွှန်းများ"> <div id="p-associated-pages" class="vector-menu vector-menu-tabs mw-portlet mw-portlet-associated-pages" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="ca-nstab-main" class="selected vector-tab-noicon mw-list-item"><a href="/wiki/%E1%80%A1%E1%80%9C%E1%80%BB%E1%80%84%E1%80%BA" title="မာတိကာ ကြည့်ရန် [c]" accesskey="c"><span>စာမျက်နှာ</span></a></li><li id="ca-talk" class="new vector-tab-noicon mw-list-item"><a href="/w/index.php?title=%E1%80%86%E1%80%BD%E1%80%B1%E1%80%B8%E1%80%94%E1%80%BD%E1%80%B1%E1%80%B8%E1%80%81%E1%80%BB%E1%80%80%E1%80%BA:%E1%80%A1%E1%80%9C%E1%80%BB%E1%80%84%E1%80%BA&action=edit&redlink=1" rel="discussion" class="new" title="မာတိကာ စာမျက်နှာအတွက် ဆွေးနွေးချက်များ (စာမျက်နှာ မရှိသေးပါ) [t]" accesskey="t"><span>ဆွေးနွေးချက်</span></a></li> </ul> </div> </div> <div id="vector-variants-dropdown" class="vector-dropdown emptyPortlet" > <input type="checkbox" id="vector-variants-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-variants-dropdown" class="vector-dropdown-checkbox " aria-label="ဘာသာစကား မူကွဲကို ပြောင်းရန်" > <label id="vector-variants-dropdown-label" for="vector-variants-dropdown-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet" aria-hidden="true" ><span class="vector-dropdown-label-text">မြန်မာဘာသာ</span> </label> <div class="vector-dropdown-content"> <div id="p-variants" class="vector-menu mw-portlet mw-portlet-variants emptyPortlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> </ul> </div> </div> </div> </div> </nav> </div> <div id="right-navigation" class="vector-collapsible"> <nav aria-label="အမြင်ပုံစံများ"> <div id="p-views" class="vector-menu vector-menu-tabs mw-portlet mw-portlet-views" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="ca-view" class="selected vector-tab-noicon mw-list-item"><a href="/wiki/%E1%80%A1%E1%80%9C%E1%80%BB%E1%80%84%E1%80%BA"><span>ဖတ်ရန်</span></a></li><li id="ca-edit" class="vector-tab-noicon mw-list-item"><a href="/w/index.php?title=%E1%80%A1%E1%80%9C%E1%80%BB%E1%80%84%E1%80%BA&action=edit" title="ဤစာမျက်နှာ၏ ရင်းမြစ်ကုဒ်ကို တည်းဖြတ်ရန် [e]" accesskey="e"><span>ပြင်ဆင်ရန်</span></a></li><li id="ca-history" class="vector-tab-noicon mw-list-item"><a href="/w/index.php?title=%E1%80%A1%E1%80%9C%E1%80%BB%E1%80%84%E1%80%BA&action=history" title="ဤစာမျက်နှာ၏ ယခင်မူများ [h]" accesskey="h"><span>ရာဇဝင်ကြည့်ရန်</span></a></li> </ul> </div> </div> </nav> <nav class="vector-page-tools-landmark" aria-label="စာမျက်နှာကိရိယာများ"> <div id="vector-page-tools-dropdown" class="vector-dropdown vector-page-tools-dropdown" > <input type="checkbox" id="vector-page-tools-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-page-tools-dropdown" 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vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-page-tools.pin">ဘေးဘားသို့ရွှေ့ပါ</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-page-tools.unpin">ဝှက်ရန်</button> </div> <div id="p-cactions" class="vector-menu mw-portlet mw-portlet-cactions emptyPortlet vector-has-collapsible-items" title="နောက်ထပ် ရွေးချယ်စရာများ" > <div class="vector-menu-heading"> ဆောင်ရွက်ချက်များ </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="ca-more-view" class="selected vector-more-collapsible-item mw-list-item"><a href="/wiki/%E1%80%A1%E1%80%9C%E1%80%BB%E1%80%84%E1%80%BA"><span>ဖတ်ရန်</span></a></li><li id="ca-more-edit" class="vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=%E1%80%A1%E1%80%9C%E1%80%BB%E1%80%84%E1%80%BA&action=edit" title="ဤစာမျက်နှာ၏ ရင်းမြစ်ကုဒ်ကို တည်းဖြတ်ရန် [e]" accesskey="e"><span>ပြင်ဆင်ရန်</span></a></li><li id="ca-more-history" class="vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=%E1%80%A1%E1%80%9C%E1%80%BB%E1%80%84%E1%80%BA&action=history"><span>ရာဇဝင်ကြည့်ရန်</span></a></li> </ul> </div> </div> <div id="p-tb" class="vector-menu mw-portlet mw-portlet-tb" > <div class="vector-menu-heading"> ယေဘုယျ </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="t-whatlinkshere" class="mw-list-item"><a href="/wiki/%E1%80%A1%E1%80%91%E1%80%B0%E1%80%B8:%E1%80%98%E1%80%9A%E1%80%BA%E1%80%80%E1%80%9C%E1%80%84%E1%80%B7%E1%80%BA%E1%80%91%E1%80%AC%E1%80%B8%E1%80%9C%E1%80%B2/%E1%80%A1%E1%80%9C%E1%80%BB%E1%80%84%E1%80%BA" title="ဤနေရာသို့ လမ်းညွှန် လင့်ထားသည့် ဝီကီစာမျက်နှာများ၏ စာရင်း [j]" accesskey="j"><span>ဘယ်ကလင့်ခ်ထားလဲ</span></a></li><li id="t-recentchangeslinked" class="mw-list-item"><a href="/wiki/%E1%80%A1%E1%80%91%E1%80%B0%E1%80%B8:RecentChangesLinked/%E1%80%A1%E1%80%9C%E1%80%BB%E1%80%84%E1%80%BA" rel="nofollow" title="ဤစာမျက်နှာမှ ညွှန်းထားသည့် စာမျက်နှာများမှ လတ်တလော အပြောင်းအလဲများ [k]" accesskey="k"><span>ဆက်စပ်သော အပြောင်းအလဲများ</span></a></li><li id="t-specialpages" class="mw-list-item"><a href="/wiki/%E1%80%A1%E1%80%91%E1%80%B0%E1%80%B8:%E1%80%A1%E1%80%91%E1%80%B0%E1%80%B8%E1%80%85%E1%80%AC%E1%80%99%E1%80%BB%E1%80%80%E1%80%BA%E1%80%94%E1%80%BE%E1%80%AC%E1%80%99%E1%80%BB%E1%80%AC%E1%80%B8" title="အထူး စာမျက်နှာများအားလုံး စာရင်း [q]" accesskey="q"><span>အထူး စာမျက်နှာများ</span></a></li><li id="t-permalink" class="mw-list-item"><a href="/w/index.php?title=%E1%80%A1%E1%80%9C%E1%80%BB%E1%80%84%E1%80%BA&oldid=836111" title="ဤစာမျက်နှာ၏ ယခုတည်းဖြတ်မူအတွက် ပုံသေလိပ်စာ"><span>ပုံသေလိပ်စာ</span></a></li><li id="t-info" class="mw-list-item"><a href="/w/index.php?title=%E1%80%A1%E1%80%9C%E1%80%BB%E1%80%84%E1%80%BA&action=info" title="ဤစာမျက်နှာအကြောင်း အချက်အလက်ပို၍"><span>စာမျက်နှာ အချက်အလက်များ</span></a></li><li id="t-cite" class="mw-list-item"><a href="/w/index.php?title=%E1%80%A1%E1%80%91%E1%80%B0%E1%80%B8:CiteThisPage&page=%E1%80%A1%E1%80%9C%E1%80%BB%E1%80%84%E1%80%BA&id=836111&wpFormIdentifier=titleform" title="ဤစာမျက်နှာအား အကိုးအကားပြုပုံ အချက်အလက်များ"><span>ဤစာမျက်နှာကို ကိုးကားပြုရန်</span></a></li><li id="t-urlshortener" class="mw-list-item"><a href="/w/index.php?title=%E1%80%A1%E1%80%91%E1%80%B0%E1%80%B8:UrlShortener&url=https%3A%2F%2Fmy.wikipedia.org%2Fwiki%2F%25E1%2580%25A1%25E1%2580%259C%25E1%2580%25BB%25E1%2580%2584%25E1%2580%25BA"><span>အတိုကောက် URL ရယူရန်</span></a></li><li id="t-urlshortener-qrcode" class="mw-list-item"><a href="/w/index.php?title=%E1%80%A1%E1%80%91%E1%80%B0%E1%80%B8:QrCode&url=https%3A%2F%2Fmy.wikipedia.org%2Fwiki%2F%25E1%2580%25A1%25E1%2580%259C%25E1%2580%25BB%25E1%2580%2584%25E1%2580%25BA"><span>Download QR code</span></a></li> </ul> </div> </div> <div id="p-coll-print_export" class="vector-menu mw-portlet mw-portlet-coll-print_export" > <div class="vector-menu-heading"> ပရင့်/ပို့လွှတ် </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="coll-create_a_book" class="mw-list-item"><a href="/w/index.php?title=%E1%80%A1%E1%80%91%E1%80%B0%E1%80%B8:Book&bookcmd=book_creator&referer=%E1%80%A1%E1%80%9C%E1%80%BB%E1%80%84%E1%80%BA"><span>စာအုပ်တစ်အုပ် ဖန်တီးရန်</span></a></li><li id="coll-download-as-rl" class="mw-list-item"><a href="/w/index.php?title=%E1%80%A1%E1%80%91%E1%80%B0%E1%80%B8:DownloadAsPdf&page=%E1%80%A1%E1%80%9C%E1%80%BB%E1%80%84%E1%80%BA&action=show-download-screen"><span>PDF အနေဖြင့် ရယူရန်</span></a></li><li id="t-print" class="mw-list-item"><a href="/w/index.php?title=%E1%80%A1%E1%80%9C%E1%80%BB%E1%80%84%E1%80%BA&printable=yes" title="ဤစာမျက်နှာ၏ ပရင့်ထုတ်နိုင်သောမူ [p]" accesskey="p"><span>ပရင့်ထုတ်နိုင်သော ဗားရှင်း</span></a></li> </ul> </div> </div> <div id="p-wikibase-otherprojects" class="vector-menu mw-portlet mw-portlet-wikibase-otherprojects" > <div class="vector-menu-heading"> အခြား ပရောဂျက်များတွင် </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="wb-otherproject-link wb-otherproject-commons mw-list-item"><a href="https://commons.wikimedia.org/wiki/Category:Velocity" hreflang="en"><span>ဝီကီမီဒီယာ ကွန်မွန်းစ်</span></a></li><li id="t-wikibase" class="wb-otherproject-link wb-otherproject-wikibase-dataitem mw-list-item"><a href="https://www.wikidata.org/wiki/Special:EntityPage/Q11465" title="ဒေတာအချက်အလက်နှင့် ချိတ်ဆက်ရန်လင့်ခ် [g]" accesskey="g"><span>ဝီကီဒေတာ item</span></a></li> </ul> </div> </div> </div> </div> </div> </div> </nav> </div> </div> </div> <div class="vector-column-end"> <div class="vector-sticky-pinned-container"> <nav class="vector-page-tools-landmark" aria-label="စာမျက်နှာကိရိယာများ"> <div id="vector-page-tools-pinned-container" class="vector-pinned-container"> </div> </nav> <nav class="vector-appearance-landmark" aria-label="ပုံပန်းသွင်ပြင်"> <div id="vector-appearance-pinned-container" class="vector-pinned-container"> <div id="vector-appearance" class="vector-appearance vector-pinnable-element"> <div class="vector-pinnable-header vector-appearance-pinnable-header vector-pinnable-header-pinned" data-feature-name="appearance-pinned" data-pinnable-element-id="vector-appearance" data-pinned-container-id="vector-appearance-pinned-container" data-unpinned-container-id="vector-appearance-unpinned-container" > <div class="vector-pinnable-header-label">ပုံပန်းသွင်ပြင်</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-appearance.pin">ဘေးဘားသို့ရွှေ့ပါ</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-appearance.unpin">ဝှက်ရန်</button> </div> </div> </div> </nav> </div> </div> <div id="bodyContent" class="vector-body" aria-labelledby="firstHeading" data-mw-ve-target-container> <div class="vector-body-before-content"> <div class="mw-indicators"> </div> <div id="siteSub" class="noprint">ဝီကီပီးဒီးယား မှ</div> </div> <div id="contentSub"><div id="mw-content-subtitle"></div></div> <div id="mw-content-text" class="mw-body-content"><div class="mw-content-ltr mw-parser-output" lang="my" dir="ltr"><figure typeof="mw:File/Thumb"><a href="/wiki/%E1%80%96%E1%80%AD%E1%80%AF%E1%80%84%E1%80%BA:Porsche_race_car_Verschuur_amk.jpg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/6/65/Porsche_race_car_Verschuur_amk.jpg/300px-Porsche_race_car_Verschuur_amk.jpg" decoding="async" width="300" height="200" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/6/65/Porsche_race_car_Verschuur_amk.jpg/450px-Porsche_race_car_Verschuur_amk.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/6/65/Porsche_race_car_Verschuur_amk.jpg/600px-Porsche_race_car_Verschuur_amk.jpg 2x" data-file-width="2500" data-file-height="1667" /></a><figcaption>ကား၏ လမ်းပေါ်လျှောက် <a href="/wiki/%E1%80%90%E1%80%8A%E1%80%BA%E1%80%94%E1%80%B1%E1%80%9B%E1%80%AC" title="တည်နေရာ">တည်နေရာ</a>က <a href="/wiki/%E1%80%A1%E1%80%81%E1%80%BB%E1%80%AD%E1%80%94%E1%80%BA" title="အချိန်">အချိန်</a>နှင့် အမျှ ပြောင်းလဲနေ၏၊ ထို့ကြောင့် <a class="mw-selflink selflink">အလျင်</a> တခုခု ရှိနေ၏၊ အရပ်စကားနှင့်လျှင် "ရွေ့လျားနေသည်။" ပိုမိုတိကျသော ရူပဗေဒအားဖြင့်မူ ကား၏ (<a href="/wiki/%E1%80%A1%E1%80%AC%E1%80%80%E1%80%AC%E1%80%9E" title="အာကာသ">အာကာသ</a>ထဲ၌ ကမ္ဘာမြေပြင်စတို့၏ ရွေ့လျားမှုနှင့် တပါတည်း ထပ်တူမကျနေသော) <a href="/wiki/%E1%80%94%E1%80%BE%E1%80%AD%E1%80%AF%E1%80%84%E1%80%BA%E1%80%B8%E1%80%9B%E1%80%A1%E1%80%9C%E1%80%BB%E1%80%84%E1%80%BA" title="နှိုင်းရအလျင်">နှိုင်းရအလျင်</a>မှာ <a href="/wiki/%E1%80%90%E1%80%BD%E1%80%B1%E1%80%B7%E1%80%80%E1%80%BC%E1%80%AF%E1%80%B6%E1%80%9B%E1%80%BE%E1%80%AF%E1%80%91%E1%80%B1%E1%80%AC%E1%80%84%E1%80%B7%E1%80%BA#မြေပြင်-တွေ့ကြုံရှုထောင့်" title="တွေ့ကြုံရှုထောင့်"> ကမ္ဘာမြေနှင့် နှိုင်းစာလျှင်</a> သုညမဟုတ်ဘဲ ရှိနေပုံ။</figcaption></figure> <p><a href="/wiki/%E1%80%9B%E1%80%B0%E1%80%95%E1%80%97%E1%80%B1%E1%80%92" title="ရူပဗေဒ">ရူပဗေဒ</a>သုံး <b>အလျင်</b> (<a href="/wiki/%E1%80%A1%E1%80%84%E1%80%BA%E1%80%B9%E1%80%82%E1%80%9C%E1%80%AD%E1%80%95%E1%80%BA%E1%80%98%E1%80%AC%E1%80%9E%E1%80%AC%E1%80%85%E1%80%80%E1%80%AC%E1%80%B8" title="အင်္ဂလိပ်ဘာသာစကား">အင်္ဂလိပ်</a>: <span lang="en"><b>veocity</b></span>) <a href="/wiki/%E1%80%97%E1%80%BE%E1%80%90%E1%80%B9%E1%80%90%E1%80%AC_%E1%80%90%E1%80%AD%E1%80%AF%E1%80%84%E1%80%BA%E1%80%B8%E1%80%96%E1%80%BD%E1%80%9A%E1%80%BA" class="mw-redirect" title="ဗှတ္တာ တိုင်းဖွယ်">ဗှတ္တာ (vector)</a> <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \mathbf {v} }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold">v</mi> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \mathbf {v} }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/35c1866e359fbfd2e0f606c725ba5cc37a5195d6" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.411ex; height:1.676ex;" alt="{\displaystyle \mathbf {v} }"></span> ဟူသည်မှာ <a href="/wiki/%E1%80%9E%E1%80%84%E1%80%BA%E1%80%B9%E1%80%81%E1%80%BB%E1%80%AC" title="သင်္ချာ">သင်္ချာ</a>စကားဖြင့်လျှင် <a href="/wiki/%E1%80%90%E1%80%8A%E1%80%BA%E1%80%94%E1%80%B1%E1%80%9B%E1%80%AC" title="တည်နေရာ">တည်နေရာ ဗှတ္တာ (position vector)</a> <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \mathbf {x} =x^{i}\mathbf {\hat {e}} _{i}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold">x</mi> </mrow> <mo>=</mo> <msup> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>i</mi> </mrow> </msup> <msub> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi mathvariant="bold">e</mi> <mo mathvariant="bold" stretchy="false">^</mo> </mover> </mrow> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi>i</mi> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \mathbf {x} =x^{i}\mathbf {\hat {e}} _{i}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a8abcc32af11ecacdd5c619a4d94a39f7229c0ce" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:8.775ex; height:3.009ex;" alt="{\displaystyle \mathbf {x} =x^{i}\mathbf {\hat {e}} _{i}}"></span> ၏ <a href="/wiki/%E1%80%A1%E1%80%81%E1%80%BB%E1%80%AD%E1%80%94%E1%80%BA" title="အချိန်">အချိန်</a>နှင့်<a href="/wiki/%E1%80%A1%E1%80%9C%E1%80%AD%E1%80%AF%E1%80%80%E1%80%BA_%E1%80%95%E1%80%BC%E1%80%B1%E1%80%AC%E1%80%84%E1%80%BA%E1%80%B8%E1%80%9C%E1%80%B2%E1%80%94%E1%80%BE%E1%80%AF%E1%80%94%E1%80%BA%E1%80%B8" class="mw-redirect" title="အလိုက် ပြောင်းလဲနှုန်း">အလိုက် ပြောင်းလဲနှုန်း</a> (derivative with respect to time) <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\frac {d}{dt}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>d</mi> <mrow> <mi>d</mi> <mi>t</mi> </mrow> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\frac {d}{dt}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/55e262410b19a3eeab08b01224e89815c110c8ce" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.005ex; width:2.892ex; height:5.509ex;" alt="{\displaystyle {\frac {d}{dt}}}"></span> ဖြစ်၏။<sup id="cite_ref-1" class="reference"><a href="#cite_note-1"><span class="cite-bracket">[</span>၁<span class="cite-bracket">]</span></a></sup> <span class="mwe-math-element"><span class="mwe-math-mathml-display mwe-math-mathml-a11y" style="display: none;"><math display="block" xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \mathbf {v} ={\frac {d\mathbf {x} }{dt}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold">v</mi> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi>d</mi> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold">x</mi> </mrow> </mrow> <mrow> <mi>d</mi> <mi>t</mi> </mrow> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \mathbf {v} ={\frac {d\mathbf {x} }{dt}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/7ba03e098d346ef6caeaa9492ba744540c009661" class="mwe-math-fallback-image-display mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.005ex; width:7.972ex; height:5.509ex;" alt="{\displaystyle \mathbf {v} ={\frac {d\mathbf {x} }{dt}}}"></span> <a href="/wiki/%E1%80%90%E1%80%95%E1%80%BC%E1%80%94%E1%80%B7%E1%80%BA%E1%80%8A%E1%80%AE%E1%80%99%E1%80%BE%E1%80%AF" class="mw-redirect" title="တပြန့်ညီမှု">တပြန့်ညီ</a>သော ၃-<a href="/wiki/%E1%80%90%E1%80%AD%E1%80%AF%E1%80%84%E1%80%BA%E1%80%B8%E1%80%80%E1%80%BC%E1%80%B1%E1%80%AC%E1%80%84%E1%80%BA%E1%80%B8" title="တိုင်းကြောင်း">တိုင်းကြောင်း</a>ပါ <a href="/wiki/%E1%80%9A%E1%80%B0%E1%80%80%E1%80%9C%E1%80%85%E1%80%BA%E1%80%92%E1%80%BA_%E1%80%85%E1%80%95%E1%80%B1%E1%80%B7%E1%80%85%E1%80%BA" title="ယူကလစ်ဒ် စပေ့စ်">သမားရိုးကျရပ်ဝန်း</a>ဆန်သည့် <a href="/wiki/%E1%80%80%E1%80%AC%E1%80%90%E1%80%80%E1%80%BA%E1%80%85%E1%80%AE%E1%80%B8%E1%80%9A%E1%80%94%E1%80%BA%E1%80%B8_%E1%80%A1%E1%80%99%E1%80%BE%E1%80%90%E1%80%BA%E1%80%81%E1%80%BB%E1%80%A1%E1%80%AD%E1%80%99%E1%80%BA" class="mw-redirect" title="ကာတက်စီးယန်း အမှတ်ချအိမ်">ကာတက်စီးယန်း အမှတ်ချအိမ်</a>အတွင်း၌မူ ဤသို့ ရိုးစင်းစွာ ဖြစ်ချေမည်။ <span class="mwe-math-element"><span class="mwe-math-mathml-display mwe-math-mathml-a11y" style="display: none;"><math display="block" xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \mathbf {v} ={\frac {d}{dt}}\mathbf {x} ={\frac {d}{dt}}(x^{i}\mathbf {\hat {e}} _{i})={\frac {d}{dt}}(x\mathbf {\hat {i}} +y\mathbf {\hat {j}} +z\mathbf {\hat {k}} )={\frac {dx}{dt}}\mathbf {\hat {i}} +{\frac {dy}{dt}}\mathbf {\hat {j}} +{\frac {dz}{dt}}\mathbf {\hat {k}} }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold">v</mi> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>d</mi> <mrow> <mi>d</mi> <mi>t</mi> </mrow> </mfrac> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold">x</mi> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>d</mi> <mrow> <mi>d</mi> <mi>t</mi> </mrow> </mfrac> </mrow> <mo stretchy="false">(</mo> <msup> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>i</mi> </mrow> </msup> <msub> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi mathvariant="bold">e</mi> <mo mathvariant="bold" stretchy="false">^</mo> </mover> </mrow> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi>i</mi> </mrow> </msub> <mo stretchy="false">)</mo> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>d</mi> <mrow> <mi>d</mi> <mi>t</mi> </mrow> </mfrac> </mrow> <mo stretchy="false">(</mo> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi mathvariant="bold">i</mi> <mo mathvariant="bold" stretchy="false">^</mo> </mover> </mrow> </mrow> <mo>+</mo> <mi>y</mi> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi mathvariant="bold">j</mi> <mo mathvariant="bold" stretchy="false">^</mo> </mover> </mrow> </mrow> <mo>+</mo> <mi>z</mi> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi mathvariant="bold">k</mi> <mo mathvariant="bold" stretchy="false">^</mo> </mover> </mrow> </mrow> <mo stretchy="false">)</mo> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi>d</mi> <mi>x</mi> </mrow> <mrow> <mi>d</mi> <mi>t</mi> </mrow> </mfrac> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi mathvariant="bold">i</mi> <mo mathvariant="bold" stretchy="false">^</mo> </mover> </mrow> </mrow> <mo>+</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi>d</mi> <mi>y</mi> </mrow> <mrow> <mi>d</mi> <mi>t</mi> </mrow> </mfrac> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi mathvariant="bold">j</mi> <mo mathvariant="bold" stretchy="false">^</mo> </mover> </mrow> </mrow> <mo>+</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi>d</mi> <mi>z</mi> </mrow> <mrow> <mi>d</mi> <mi>t</mi> </mrow> </mfrac> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi mathvariant="bold">k</mi> <mo mathvariant="bold" stretchy="false">^</mo> </mover> </mrow> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \mathbf {v} ={\frac {d}{dt}}\mathbf {x} ={\frac {d}{dt}}(x^{i}\mathbf {\hat {e}} _{i})={\frac {d}{dt}}(x\mathbf {\hat {i}} +y\mathbf {\hat {j}} +z\mathbf {\hat {k}} )={\frac {dx}{dt}}\mathbf {\hat {i}} +{\frac {dy}{dt}}\mathbf {\hat {j}} +{\frac {dz}{dt}}\mathbf {\hat {k}} }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/42db426453badfa91cfc2f07f2bf71815272b3f9" class="mwe-math-fallback-image-display mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.005ex; width:64.608ex; height:5.509ex;" alt="{\displaystyle \mathbf {v} ={\frac {d}{dt}}\mathbf {x} ={\frac {d}{dt}}(x^{i}\mathbf {\hat {e}} _{i})={\frac {d}{dt}}(x\mathbf {\hat {i}} +y\mathbf {\hat {j}} +z\mathbf {\hat {k}} )={\frac {dx}{dt}}\mathbf {\hat {i}} +{\frac {dy}{dt}}\mathbf {\hat {j}} +{\frac {dz}{dt}}\mathbf {\hat {k}} }"></span> </p><p>သို့နှင့် အရပ်စကားဖြင့်လျှင်၊ အရာဝတ္ထုတခုခု၏ <b><a href="/wiki/%E1%80%80%E1%80%AD%E1%80%AF%E1%80%A9%E1%80%92%E1%80%AD%E1%80%94%E1%80%AD%E1%80%90%E1%80%BA" title="ကိုဩဒိနိတ်">တည်နေရာ</a> <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle (x,y,z)}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo stretchy="false">(</mo> <mi>x</mi> <mo>,</mo> <mi>y</mi> <mo>,</mo> <mi>z</mi> <mo stretchy="false">)</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle (x,y,z)}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/22a8c93372e8f8b6e24d523bd5545aed3430baf4" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:7.45ex; height:2.843ex;" alt="{\displaystyle (x,y,z)}"></span> တို့ အချိန်နှင့်အမျှ ပြောင်းလဲနေနှုန်း <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\frac {d}{dt}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>d</mi> <mrow> <mi>d</mi> <mi>t</mi> </mrow> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\frac {d}{dt}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/55e262410b19a3eeab08b01224e89815c110c8ce" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.005ex; width:2.892ex; height:5.509ex;" alt="{\displaystyle {\frac {d}{dt}}}"></span></b> သည်ပင် ထိုအရာ၏ <b>အလျင်(velocity)</b> <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle v}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>v</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle v}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/e07b00e7fc0847fbd16391c778d65bc25c452597" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.128ex; height:1.676ex;" alt="{\displaystyle v}"></span> တည်းဟူသော <a href="/wiki/%E1%80%90%E1%80%AD%E1%80%AF%E1%80%84%E1%80%BA%E1%80%B8%E1%80%96%E1%80%BD%E1%80%9A%E1%80%BA" class="mw-redirect" title="တိုင်းဖွယ်">တိုင်းဖွယ် အခြင်းအရာ</a> ဖြစ်တော့၏။<br /> <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\frac {dx}{dt}}=v^{x},{\frac {dy}{dt}}=v^{y},{\frac {dz}{dt}}=v^{z}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi>d</mi> <mi>x</mi> </mrow> <mrow> <mi>d</mi> <mi>t</mi> </mrow> </mfrac> </mrow> <mo>=</mo> <msup> <mi>v</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>x</mi> </mrow> </msup> <mo>,</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi>d</mi> <mi>y</mi> </mrow> <mrow> <mi>d</mi> <mi>t</mi> </mrow> </mfrac> </mrow> <mo>=</mo> <msup> <mi>v</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>y</mi> </mrow> </msup> <mo>,</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi>d</mi> <mi>z</mi> </mrow> <mrow> <mi>d</mi> <mi>t</mi> </mrow> </mfrac> </mrow> <mo>=</mo> <msup> <mi>v</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>z</mi> </mrow> </msup> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\frac {dx}{dt}}=v^{x},{\frac {dy}{dt}}=v^{y},{\frac {dz}{dt}}=v^{z}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/597e1c43575466daaddec11f0117ef09d04633ef" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.005ex; width:27.699ex; height:5.509ex;" alt="{\displaystyle {\frac {dx}{dt}}=v^{x},{\frac {dy}{dt}}=v^{y},{\frac {dz}{dt}}=v^{z}}"></span> တို့ အသီးသီးက <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle X,Y,Z}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>X</mi> <mo>,</mo> <mi>Y</mi> <mo>,</mo> <mi>Z</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle X,Y,Z}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/bcf4a8b48db1a32d24aabe164b07744069093225" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:7.502ex; height:2.509ex;" alt="{\displaystyle X,Y,Z}"></span> <a href="/wiki/%E1%80%85%E1%80%B6%E1%80%90%E1%80%AD%E1%80%AF%E1%80%84%E1%80%BA" class="mw-redirect" title="စံတိုင်">စံတိုင်(axis)</a> သို့မဟုတ် <a href="/wiki/%E1%80%90%E1%80%AD%E1%80%AF%E1%80%84%E1%80%BA%E1%80%B8%E1%80%80%E1%80%BC%E1%80%B1%E1%80%AC%E1%80%84%E1%80%BA%E1%80%B8" title="တိုင်းကြောင်း">တိုင်းကြောင်း(dimension)</a> တို့ တလျှောက် အရာဝတ္ထု၏ တည်နေရာ ပြောင်းလဲနေနှုန်းများ အသီးသီး ဖြစ်သဖြင့်၊ ရွေ့လျားနေနှုန်း (သွားနှုန်း) အသီးသီး ဖြစ်တော့၏။ တိုင်းကြောင်း ၃ခုပါ <a href="/wiki/%E1%80%A1%E1%80%AC%E1%80%80%E1%80%AC%E1%80%9E" title="အာကာသ">ရပ်ဝန်း</a>အတွင်း ထိုသို့ ၃ခု ဖြစ်နေသော <a href="/wiki/%E1%80%90%E1%80%AC%E1%80%85" title="တာစ">အပိုင်းခွဲ</a>များက စုစည်း၍ တခုသော ဤ <b>အလျင် (velocity)</b> ကို <i>"မည်သည့်ဘက်သို့ မည်မျှနှုန်း"ဟု</i> စုပေါင်းဖော်ပြပေးသည့်နှယ် ရှိလေသဖြင့်၊ <i><a href="/wiki/%E1%80%95%E1%80%99%E1%80%AC%E1%80%8F%E1%80%9B%E1%80%84%E1%80%BA%E1%80%B8" title="ပမာဏရင်း">ပမာဏ (magnitude)</a> နှင့် ဘက်လှည့်ချက် (direction) သဘော၂ရပ်လုံး</i> ပါရှိကာ <a href="/wiki/%E1%80%97%E1%80%BE%E1%80%90%E1%80%B9%E1%80%90%E1%80%AC_%E1%80%90%E1%80%AD%E1%80%AF%E1%80%84%E1%80%BA%E1%80%B8%E1%80%96%E1%80%BD%E1%80%9A%E1%80%BA" class="mw-redirect" title="ဗှတ္တာ တိုင်းဖွယ်">ဗှတ္တာ တိုင်းဖွယ်</a> တစ်မျိုး ဖြစ်လေတော့၏။<br /> ဤ <b>အလျင်ဗှတ္တာ (veocity vector)</b> ၏ <a href="/wiki/%E1%80%95%E1%80%99%E1%80%AC%E1%80%8F%E1%80%9B%E1%80%84%E1%80%BA%E1%80%B8" title="ပမာဏရင်း">ပမာဏရင်း</a>သီးသန့်သဘောကို <a href="/wiki/%E1%80%85%E1%80%80%E1%80%B1%E1%80%9C%E1%80%AC_%E1%80%90%E1%80%AD%E1%80%AF%E1%80%84%E1%80%BA%E1%80%B8%E1%80%96%E1%80%BD%E1%80%9A%E1%80%BA" title="စကေလာ တိုင်းဖွယ်">(ပမာဏသီးသန့်သဘော) စကေလာ တိုင်းဖွယ်</a> ကွက်ယူကြည့်လျှင် <a href="/wiki/%E1%80%A1%E1%80%99%E1%80%BC%E1%80%94%E1%80%BA%E1%80%94%E1%80%BE%E1%80%AF%E1%80%94%E1%80%BA%E1%80%B8" title="အမြန်နှုန်း">အမြန်နှုန်း (speed)</a> ဟူသော တိုင်းဖွယ် (quantity) ကို တွေ့ရမည်။<br /> </p><p>အလျင် (velocity) နှင့် အမြန်နှုန်း (speed) တို့၏ <a href="/wiki/%E1%80%A1%E1%80%95%E1%80%BC%E1%80%8A%E1%80%BA%E1%80%95%E1%80%BC%E1%80%8A%E1%80%BA%E1%80%86%E1%80%AD%E1%80%AF%E1%80%84%E1%80%BA%E1%80%9B%E1%80%AC_%E1%80%9A%E1%80%B0%E1%80%94%E1%80%85%E1%80%BA%E1%80%85%E1%80%94%E1%80%85%E1%80%BA" title="အပြည်ပြည်ဆိုင်ရာ ယူနစ်စနစ်">ကမ္ဘာသုံး စံယူနစ်</a>မှာ "m/s" (သို့) "ms<sup>-1</sup>" (meter per second) ဖြစ်၍၊ တစ်<a href="/wiki/%E1%80%85%E1%80%80%E1%80%B9%E1%80%80%E1%80%94%E1%80%B7%E1%80%BA" title="စက္ကန့်">စက္ကန့်</a>လျှင် တည်နေရာအားဖြင့် <a href="/wiki/%E1%80%99%E1%80%AE%E1%80%90%E1%80%AC" title="မီတာ">မီတာ</a>မည်မျှ ပြောင်းလဲသွားသည် ဟူသော အချိုးနှုန်းထား ဖြစ်၏။ သဘောတူ ပေတံကွဲ ယူနစ်များအဖြစ် တစ်စက္ကန့်အလျှင် ဘယ်နှပေနှုန်း၊ တစ်နာရီလျှင် ဘယ်နှကီလိုမီတာနှုန်း၊ တစ်နာရီလျှင် ဘယ်နှမိုင်နှုန်း စသည့် ယူနစ်များကိုလည်း တွေ့ရနိုင်၏။ </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="ပျမ်းမျှအလျင်_နှင့်_ဖြစ်ခိုက်အလျင်"><span id=".E1.80.95.E1.80.BB.E1.80.99.E1.80.BA.E1.80.B8.E1.80.99.E1.80.BB.E1.80.BE.E1.80.A1.E1.80.9C.E1.80.BB.E1.80.84.E1.80.BA_.E1.80.94.E1.80.BE.E1.80.84.E1.80.B7.E1.80.BA_.E1.80.96.E1.80.BC.E1.80.85.E1.80.BA.E1.80.81.E1.80.AD.E1.80.AF.E1.80.80.E1.80.BA.E1.80.A1.E1.80.9C.E1.80.BB.E1.80.84.E1.80.BA"></span>ပျမ်းမျှအလျင် နှင့် ဖြစ်ခိုက်အလျင်</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%E1%80%A1%E1%80%9C%E1%80%BB%E1%80%84%E1%80%BA&action=edit&section=1" title="ဤအပိုင်းကို တည်းဖြတ်ရန် - ပျမ်းမျှအလျင် နှင့် ဖြစ်ခိုက်အလျင်"><span>ပြင်ဆင်ရန်</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="mw-heading mw-heading3"><h3 id="ပျမ်းမျှအလျင်"><span id=".E1.80.95.E1.80.BB.E1.80.99.E1.80.BA.E1.80.B8.E1.80.99.E1.80.BB.E1.80.BE.E1.80.A1.E1.80.9C.E1.80.BB.E1.80.84.E1.80.BA"></span>ပျမ်းမျှအလျင်</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%E1%80%A1%E1%80%9C%E1%80%BB%E1%80%84%E1%80%BA&action=edit&section=2" title="ဤအပိုင်းကို တည်းဖြတ်ရန် - ပျမ်းမျှအလျင်"><span>ပြင်ဆင်ရန်</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>အရာဝတ္တုတခုခု၏ <i><b>ပျမ်းမျှအလျင် (average velocity)</b></i> <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\bar {v}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>v</mi> <mo stretchy="false">¯</mo> </mover> </mrow> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\bar {v}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ba1d09340f8f6c1979330c2f23e514e38f243a3b" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.227ex; height:2.009ex;" alt="{\displaystyle {\bar {v}}}"></span> သို့မဟုတ် <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle v_{avg}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>v</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>a</mi> <mi>v</mi> <mi>g</mi> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle v_{avg}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/4468bdcc3acd7688fd76cafe002b5af51e62f739" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.005ex; width:3.816ex; height:2.343ex;" alt="{\displaystyle v_{avg}}"></span> ဆိုသည်မှာ အချိန်အတိုင်းအတာ တခု <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \Delta t}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi mathvariant="normal">Δ</mi> <mi>t</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \Delta t}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/8c28867ecd34e2caed12cf38feadf6a81a7ee542" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.775ex; height:2.176ex;" alt="{\displaystyle \Delta t}"></span> အတွင်း၌ ၎င်းအရာဝတ္ထု၏ </p> <ul><li>ရွေ့လျားဖြစ်မြောက်သည့် <a href="/wiki/%E1%80%90%E1%80%8A%E1%80%BA%E1%80%94%E1%80%B1%E1%80%9B%E1%80%AC" title="တည်နေရာ">တည်နေရာ</a> ကွာခြားချက် <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \Delta x}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi mathvariant="normal">Δ</mi> <mi>x</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \Delta x}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f3890eb866b6258d7a304fc34c70ee3fb3a81a70" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:3.266ex; height:2.176ex;" alt="{\displaystyle \Delta x}"></span> (သို့)</li> <li>၎င်းအရာဝတ္ထု၏ <a href="/wiki/%E1%80%A1%E1%80%9B%E1%80%BD%E1%80%B1%E1%80%B7" title="အရွေ့">အရွေ့(dispalcement)</a> ဖြစ်ပေါ်ချက် <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \Delta s}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi mathvariant="normal">Δ</mi> <mi>s</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \Delta s}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/dd7783a6d29d2ca4d9f1e0f501c4c6483fc058bd" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:3.026ex; height:2.176ex;" alt="{\displaystyle \Delta s}"></span> ကို</li></ul> <p>ထို <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \Delta t}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi mathvariant="normal">Δ</mi> <mi>t</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \Delta t}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/8c28867ecd34e2caed12cf38feadf6a81a7ee542" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.775ex; height:2.176ex;" alt="{\displaystyle \Delta t}"></span> နှင့် စားခြင်း ဖြစ်၏။ <span class="mwe-math-element"><span class="mwe-math-mathml-display mwe-math-mathml-a11y" style="display: none;"><math display="block" xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\bar {v}}={\frac {\Delta x}{\Delta t}}={\frac {x_{f}-x_{i}}{t_{f}-t_{i}}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>v</mi> <mo stretchy="false">¯</mo> </mover> </mrow> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi mathvariant="normal">Δ</mi> <mi>x</mi> </mrow> <mrow> <mi mathvariant="normal">Δ</mi> <mi>t</mi> </mrow> </mfrac> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <msub> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>f</mi> </mrow> </msub> <mo>−</mo> <msub> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>i</mi> </mrow> </msub> </mrow> <mrow> <msub> <mi>t</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>f</mi> </mrow> </msub> <mo>−</mo> <msub> <mi>t</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>i</mi> </mrow> </msub> </mrow> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\bar {v}}={\frac {\Delta x}{\Delta t}}={\frac {x_{f}-x_{i}}{t_{f}-t_{i}}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/9fd61437ed315461af9003a6ca3a08bd0348ff53" class="mwe-math-fallback-image-display mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.505ex; width:19.798ex; height:6.009ex;" alt="{\displaystyle {\bar {v}}={\frac {\Delta x}{\Delta t}}={\frac {x_{f}-x_{i}}{t_{f}-t_{i}}}}"></span> </p><p>ဤ <i><b>ပျမ်းမျှအလျင်</b></i> အချိုးတွက်ကိန်း <a href="/wiki/%E1%80%90%E1%80%AD%E1%80%AF%E1%80%84%E1%80%BA%E1%80%B8%E1%80%96%E1%80%BD%E1%80%9A%E1%80%BA" class="mw-redirect" title="တိုင်းဖွယ်">တိုင်းဖွယ် (quantity)</a> သည်၊ ယူတွက်လိုက်သည့် <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \Delta t=t_{f}-t_{i}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi mathvariant="normal">Δ</mi> <mi>t</mi> <mo>=</mo> <msub> <mi>t</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>f</mi> </mrow> </msub> <mo>−</mo> <msub> <mi>t</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>i</mi> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \Delta t=t_{f}-t_{i}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/d7f3430dd0d1c1ea52b83367651ed377b86b060f" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.005ex; width:12.33ex; height:2.843ex;" alt="{\displaystyle \Delta t=t_{f}-t_{i}}"></span> ပမာဏကြီးလျှင် ကြီးသလောက် ရွေ့လျားမှုခရီး တလျှောက်၌ အရာဝတ္ထု၏ မည်မျှ ပိုနှေးသွားသေးခြင်း၊ မည်မျှ ပိုမြန်သွားသေးခြင်း အချက်အလက်တို့ကိုမူ ဖော်ပြနေမည် မဟုတ်၊ ခရီးအစအဆုံးကို တမတ်တည်းသော (ကိန်းသေ) အလျင်နှင့် ရွေ့လျားလိုက်သည့်အလားသာ အကြမ်းဖျင်း ဖော်ပြနေပေမည်။ </p> <div class="mw-heading mw-heading3"><h3 id="ဖြစ်ခိုက်အလျင်"><span id=".E1.80.96.E1.80.BC.E1.80.85.E1.80.BA.E1.80.81.E1.80.AD.E1.80.AF.E1.80.80.E1.80.BA.E1.80.A1.E1.80.9C.E1.80.BB.E1.80.84.E1.80.BA"></span>ဖြစ်ခိုက်အလျင်</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%E1%80%A1%E1%80%9C%E1%80%BB%E1%80%84%E1%80%BA&action=edit&section=3" title="ဤအပိုင်းကို တည်းဖြတ်ရန် - ဖြစ်ခိုက်အလျင်"><span>ပြင်ဆင်ရန်</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>အလျင်၏ သင်္ချာအားဖြင့် ယေဘုယျကျသော ဖော်ပြသွင်မှာ <i><b>ဖြစ်ခိုက်အလျင် (instantaneous velocity)</b></i> ဖြစ်၏။<br /> ၁၆၀၀ ခုနှစ်ကျော် ကာလများတွင် <a href="/wiki/%E1%80%80%E1%80%B2%E1%80%80%E1%80%AF%E1%80%9C%E1%80%95%E1%80%BA" title="ကဲကုလပ်">ပြောင်းလဲခြင်း သင်္ချာ (Calculus)</a> ကဏ္ဍ ဖွံ့ဖြိုးလာသည်နှင့်အလိုက်၊ ပျမ်းမျှသဘောအလျင် <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle v={\frac {\Delta x}{\Delta t}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>v</mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi mathvariant="normal">Δ</mi> <mi>x</mi> </mrow> <mrow> <mi mathvariant="normal">Δ</mi> <mi>t</mi> </mrow> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle v={\frac {\Delta x}{\Delta t}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/aec86d82a393afe3a332fa7a7ffa36f35dc0bf42" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.005ex; width:8.328ex; height:5.509ex;" alt="{\displaystyle v={\frac {\Delta x}{\Delta t}}}"></span> တွက်ထုတ်ခြင်းတွင် ပမာဏခပ်ကြီးကြီးသော <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \Delta t}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi mathvariant="normal">Δ</mi> <mi>t</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \Delta t}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/8c28867ecd34e2caed12cf38feadf6a81a7ee542" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.775ex; height:2.176ex;" alt="{\displaystyle \Delta t}"></span> နေရာ၌ <a href="/wiki/%E1%80%90%E1%80%99%E1%80%BD%E1%80%90%E1%80%BA%E1%80%85%E1%80%AD%E1%80%90%E1%80%BA%E1%80%A1%E1%80%95%E1%80%AD%E1%80%AF%E1%80%84%E1%80%BA%E1%80%B8" title="တမွတ်စိတ်အပိုင်း">တမွတ်စိတ်</a>မျှသော အချိန် <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle dt}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>d</mi> <mi>t</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle dt}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ebee76a835701fd1f26047a09855f2ea36bb08fc" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.055ex; height:2.176ex;" alt="{\displaystyle dt}"></span> ကလေးသာ ဟု ထည့်တွက်ရန် <a href="/wiki/%E1%80%94%E1%80%9A%E1%80%B0%E1%80%90%E1%80%94%E1%80%BA" title="နယူတန်">နျူတန်</a>၊ လိုက်ဘ်နစ်ဇ် စသူတို့ စိတ်ကူးလာကြ၏။ ထိုအချိန်တို အခိုက်လေးအတွင်း ရွေ့လျားသွားနှုန်း <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \Delta x}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi mathvariant="normal">Δ</mi> <mi>x</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \Delta x}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f3890eb866b6258d7a304fc34c70ee3fb3a81a70" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:3.266ex; height:2.176ex;" alt="{\displaystyle \Delta x}"></span> မှာလည်း ပမာဏသေးငယ်လှ၍ သင်္ချာအားဖြင့် <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle dx}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>d</mi> <mi>x</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle dx}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/845c817e348381a13f3fad5184169ce0e021c685" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.546ex; height:2.176ex;" alt="{\displaystyle dx}"></span> ဟု အစားထိုး ဖော်ပြတန်လောက်၏၊ ရွေ့လျားမှု ဖြစ်စဉ်ရှည်က အကွေးအဝိုက်လမ်းကြောင်းများ ပါသည့်တိုင် အခိုက်တို <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle dt}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>d</mi> <mi>t</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle dt}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ebee76a835701fd1f26047a09855f2ea36bb08fc" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.055ex; height:2.176ex;" alt="{\displaystyle dt}"></span> အတွင်း ရွေ့လျားသွားသည့် <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle dx}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>d</mi> <mi>x</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle dx}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/845c817e348381a13f3fad5184169ce0e021c685" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.546ex; height:2.176ex;" alt="{\displaystyle dx}"></span> <a href="/wiki/%E1%80%A1%E1%80%9C%E1%80%BB%E1%80%AC%E1%80%B8" title="အလျား">အကွာအဝေး</a> တမွတ်စိတ်ပိုင်းငယ်မှာ မျဉ်းဖြောင့်ဟု သဘောအားဖြင့် ဖြစ်ချိမ့်မည်၊ မျဉ်းကွေးအရွေ့လမ်းကြောင်း၏ <a href="/w/index.php?title=%E1%80%9D%E1%80%94%E1%80%BA%E1%80%B8%E1%80%91%E1%80%AD%E1%80%99%E1%80%BB%E1%80%89%E1%80%BA%E1%80%B8&action=edit&redlink=1" class="new" title="ဝန်းထိမျဉ်း (စာမျက်နှာ မရှိသေးပါ)">ဝန်းထိမျဉ်း</a>ဖြတ်ပိုင်းစိပ် <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle dx}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>d</mi> <mi>x</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle dx}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/845c817e348381a13f3fad5184169ce0e021c685" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.546ex; height:2.176ex;" alt="{\displaystyle dx}"></span> ဖြောင့်ဖြောင့်လေးသဘော ဖြစ်မည်။<br /> အရာဝတ္ထု၏ <a href="/wiki/%E1%80%90%E1%80%8A%E1%80%BA%E1%80%94%E1%80%B1%E1%80%9B%E1%80%AC" title="တည်နေရာ">တည်နေရာ</a> <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle x}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>x</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle x}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/87f9e315fd7e2ba406057a97300593c4802b53e4" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.33ex; height:1.676ex;" alt="{\displaystyle x}"></span> သည် <a href="/wiki/%E1%80%A1%E1%80%81%E1%80%BB%E1%80%AD%E1%80%94%E1%80%BA" title="အချိန်">အချိန်</a> <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle t}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>t</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle t}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/65658b7b223af9e1acc877d848888ecdb4466560" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:0.84ex; height:2.009ex;" alt="{\displaystyle t}"></span> နှင့် <a href="/wiki/%E1%80%A1%E1%80%9C%E1%80%AD%E1%80%AF%E1%80%80%E1%80%BA_%E1%80%95%E1%80%BC%E1%80%B1%E1%80%AC%E1%80%84%E1%80%BA%E1%80%B8%E1%80%9C%E1%80%B2%E1%80%94%E1%80%BE%E1%80%AF%E1%80%94%E1%80%BA%E1%80%B8" class="mw-redirect" title="အလိုက် ပြောင်းလဲနှုန်း">လိုက်၍ ပြောင်းလဲ</a>နေအံ့၊ <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle t}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>t</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle t}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/65658b7b223af9e1acc877d848888ecdb4466560" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:0.84ex; height:2.009ex;" alt="{\displaystyle t}"></span> <a href="/wiki/%E1%80%90%E1%80%AD%E1%80%AF%E1%80%84%E1%80%BA%E1%80%B8%E1%80%96%E1%80%BD%E1%80%9A%E1%80%BA" class="mw-redirect" title="တိုင်းဖွယ်">တိုင်းဖွယ် (အခြင်းအရာ)</a> က အမှီခိုခံ <a href="/wiki/%E1%80%80%E1%80%AD%E1%80%94%E1%80%BA%E1%80%B8%E1%80%9B%E1%80%BE%E1%80%84%E1%80%BA" title="ကိန်းရှင်">ပြောင်းလဲကိန်း (variable)</a> ဖြစ်သွား၍ <a href="/wiki/%E1%80%80%E1%80%AD%E1%80%AF%E1%80%A9%E1%80%92%E1%80%AD%E1%80%94%E1%80%AD%E1%80%90%E1%80%BA" title="ကိုဩဒိနိတ်">တည်နေရာ</a> <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle x}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>x</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle x}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/87f9e315fd7e2ba406057a97300593c4802b53e4" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.33ex; height:1.676ex;" alt="{\displaystyle x}"></span> က ၎င်းအပေါ် <a href="/wiki/%E1%80%96%E1%80%BE%E1%80%94%E1%80%BA%E1%80%9B%E1%80%BE%E1%80%84%E1%80%BA" class="mw-redirect" title="ဖှန်ရှင်">မှီခိုသည့် ရလဒ် (ဖှန်ရှင်)</a> ဖြစ်သွားလတ္တံ၊ <i>“အချိန်၏ ရလဒ် (function of time)”</i> မြောက်သွားလတ္တံ့။ ထိုအချက် မြောက်သွားကြောင်းကို “<span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle x=x(t)}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>x</mi> <mo>=</mo> <mi>x</mi> <mo stretchy="false">(</mo> <mi>t</mi> <mo stretchy="false">)</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle x=x(t)}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/3ae1e02df253e3adc6e5d080f37a40a5bc805320" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:8.407ex; height:2.843ex;" alt="{\displaystyle x=x(t)}"></span>” ဟု သင်္ချာ၌ ရေးကြ၏။<br /> သို့နှင့် <a href="/wiki/%E1%80%A1%E1%80%81%E1%80%BB%E1%80%AD%E1%80%94%E1%80%BA" title="အချိန်">အချိန်</a> <a href="/wiki/%E1%80%90%E1%80%99%E1%80%BD%E1%80%90%E1%80%BA%E1%80%85%E1%80%AD%E1%80%90%E1%80%BA%E1%80%A1%E1%80%95%E1%80%AD%E1%80%AF%E1%80%84%E1%80%BA%E1%80%B8" title="တမွတ်စိတ်အပိုင်း">တမွတ်စိတ်အပိုင်း</a> <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle dt}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>d</mi> <mi>t</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle dt}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ebee76a835701fd1f26047a09855f2ea36bb08fc" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.055ex; height:2.176ex;" alt="{\displaystyle dt}"></span> ဖြင့် <i><b>ဖြစ်ခိုက်အလျင်</b></i> <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle v(t)}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>v</mi> <mo stretchy="false">(</mo> <mi>t</mi> <mo stretchy="false">)</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle v(t)}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/243a0bf98a12f48552ba6a70302122d81b237b3d" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:3.777ex; height:2.843ex;" alt="{\displaystyle v(t)}"></span> ကို တွက်ထုတ်လိုသည့်အခါ "<span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle dt=x_{f}-x_{i}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>d</mi> <mi>t</mi> <mo>=</mo> <msub> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>f</mi> </mrow> </msub> <mo>−</mo> <msub> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>i</mi> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle dt=x_{f}-x_{i}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/2c8d661cb116fa4711badcd8f3b46f15e7bb110b" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.005ex; width:12.59ex; height:2.843ex;" alt="{\displaystyle dt=x_{f}-x_{i}}"></span> တန်ဖိုးက သုညသို့ ချဉ်းကပ်ခြင်း" အချက်ကို အားပြုယူ၍ ဤသို့ ဆက်တွက်ရာ၏။ <span class="mwe-math-element"><span class="mwe-math-mathml-display mwe-math-mathml-a11y" style="display: none;"><math display="block" xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle v(t)={\frac {dx(t)}{dt}}=\lim _{{\Delta t}\to 0}{\frac {x(t+\Delta t)-x(t)}{\Delta t}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>v</mi> <mo stretchy="false">(</mo> <mi>t</mi> <mo stretchy="false">)</mo> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi>d</mi> <mi>x</mi> <mo stretchy="false">(</mo> <mi>t</mi> <mo stretchy="false">)</mo> </mrow> <mrow> <mi>d</mi> <mi>t</mi> </mrow> </mfrac> </mrow> <mo>=</mo> <munder> <mo movablelimits="true" form="prefix">lim</mo> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">Δ</mi> <mi>t</mi> </mrow> <mo stretchy="false">→</mo> <mn>0</mn> </mrow> </munder> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi>x</mi> <mo stretchy="false">(</mo> <mi>t</mi> <mo>+</mo> <mi mathvariant="normal">Δ</mi> <mi>t</mi> <mo stretchy="false">)</mo> <mo>−</mo> <mi>x</mi> <mo stretchy="false">(</mo> <mi>t</mi> <mo stretchy="false">)</mo> </mrow> <mrow> <mi mathvariant="normal">Δ</mi> <mi>t</mi> </mrow> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle v(t)={\frac {dx(t)}{dt}}=\lim _{{\Delta t}\to 0}{\frac {x(t+\Delta t)-x(t)}{\Delta t}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/d63bbe8ee558232a5e977c6fd121129d920fec54" class="mwe-math-fallback-image-display mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.171ex; width:38.068ex; height:6.009ex;" alt="{\displaystyle v(t)={\frac {dx(t)}{dt}}=\lim _{{\Delta t}\to 0}{\frac {x(t+\Delta t)-x(t)}{\Delta t}}}"></span> <span class="mwe-math-element"><span class="mwe-math-mathml-display mwe-math-mathml-a11y" style="display: none;"><math display="block" xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle v(t)={\frac {dx(t)}{dt}}=\lim _{{\delta t}\to 0}{\frac {x(t+\delta t)-x(t-\delta t)}{2\delta t}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>v</mi> <mo stretchy="false">(</mo> <mi>t</mi> <mo stretchy="false">)</mo> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi>d</mi> <mi>x</mi> <mo stretchy="false">(</mo> <mi>t</mi> <mo stretchy="false">)</mo> </mrow> <mrow> <mi>d</mi> <mi>t</mi> </mrow> </mfrac> </mrow> <mo>=</mo> <munder> <mo movablelimits="true" form="prefix">lim</mo> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mi>δ</mi> <mi>t</mi> </mrow> <mo stretchy="false">→</mo> <mn>0</mn> </mrow> </munder> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi>x</mi> <mo stretchy="false">(</mo> <mi>t</mi> <mo>+</mo> <mi>δ</mi> <mi>t</mi> <mo stretchy="false">)</mo> <mo>−</mo> <mi>x</mi> <mo stretchy="false">(</mo> <mi>t</mi> <mo>−</mo> <mi>δ</mi> <mi>t</mi> <mo stretchy="false">)</mo> </mrow> <mrow> <mn>2</mn> <mi>δ</mi> <mi>t</mi> </mrow> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle v(t)={\frac {dx(t)}{dt}}=\lim _{{\delta t}\to 0}{\frac {x(t+\delta t)-x(t-\delta t)}{2\delta t}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/671ec133d1c382821f043e496085fffaded6b126" class="mwe-math-fallback-image-display mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.171ex; width:41.283ex; height:6.009ex;" alt="{\displaystyle v(t)={\frac {dx(t)}{dt}}=\lim _{{\delta t}\to 0}{\frac {x(t+\delta t)-x(t-\delta t)}{2\delta t}}}"></span> <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \Delta t}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi mathvariant="normal">Δ</mi> <mi>t</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \Delta t}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/8c28867ecd34e2caed12cf38feadf6a81a7ee542" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.775ex; height:2.176ex;" alt="{\displaystyle \Delta t}"></span> (သို့) <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \delta t}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>δ</mi> <mi>t</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \delta t}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/eb5768e76c1d7222b1b53d613e8622471ef18327" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.888ex; height:2.343ex;" alt="{\displaystyle \delta t}"></span> က သုည ဖြစ်သွားချိန်၌ ရှိတန်မည့် <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\frac {\Delta x}{\Delta t}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi mathvariant="normal">Δ</mi> <mi>x</mi> </mrow> <mrow> <mi mathvariant="normal">Δ</mi> <mi>t</mi> </mrow> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\frac {\Delta x}{\Delta t}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/9c195855c0fa3f76993a2c083b51bb87655a6b52" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.005ex; width:4.102ex; height:5.509ex;" alt="{\displaystyle {\frac {\Delta x}{\Delta t}}}"></span> (သို့) <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\frac {\delta x}{\delta t}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi>δ</mi> <mi>x</mi> </mrow> <mrow> <mi>δ</mi> <mi>t</mi> </mrow> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\frac {\delta x}{\delta t}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/40794874bc1f5979a20fbe3fd5ed3f09d520ed73" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.005ex; width:3.214ex; height:5.509ex;" alt="{\displaystyle {\frac {\delta x}{\delta t}}}"></span> ၏ <a href="/wiki/%E1%80%9B%E1%80%BE%E1%80%AD%E1%80%90%E1%80%94%E1%80%BA" title="ရှိတန်">ရှိတန် တန်ဖိုး (limit)</a> ကို တွက်ထုတ်ခြင်း ဖြစ်၏။ အထက်ပါ ၂နည်းမှာ သင်္ချာသဘောချင်း ထပ်တူနှင်နှင်သာ ဖြစ်၍၊ မိမိတွက်ချက်လိုရာ ပုစ္ဆာအလိုက် အသုံးဝင်သည့် အခင်းအကျင်းကို ရွေးယူတွက်တတ်ကြ၏။<br /> ပျမ်းမျှအမြန်နှုန်း (average speed) က <a href="/wiki/%E1%80%85%E1%80%80%E1%80%B1%E1%80%9C%E1%80%AC_%E1%80%90%E1%80%AD%E1%80%AF%E1%80%84%E1%80%BA%E1%80%B8%E1%80%96%E1%80%BD%E1%80%9A%E1%80%BA" title="စကေလာ တိုင်းဖွယ်">ကိန်းထီး တိုင်းဖွယ်</a> သီးသန့်အထင်း ဖြစ်သော်လည်း ဖြစ်ခိုက်အမြန်မှုန်း (instantaneous speed) ကမူ ဤ ဖြစ်ခိုက်အလျင် (instantaneous velocity) နှင့် ထပ်တူမျှပင် ကျ၏၊ အကြောင်းမှာ အလွန်သေးငယ်သောအချိန်အပိုင်းအခြားတွင် အရာဝတ္ထုတစ်ခု၏ အရွေ့တန်ဖိုး(displacement) နှင့် သွားခဲ့သော အကွာအဝေး(distance) တူညီသွားခြင်းကြောင့်တည်း။<sup id="cite_ref-2" class="reference"><a href="#cite_note-2"><span class="cite-bracket">[</span>၂<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading2"><h2 id="ကိန်းသေအလျင်နှင့်_ပြောင်းလဲအလျင်_အမျိုးမျိုး"><span id=".E1.80.80.E1.80.AD.E1.80.94.E1.80.BA.E1.80.B8.E1.80.9E.E1.80.B1.E1.80.A1.E1.80.9C.E1.80.BB.E1.80.84.E1.80.BA.E1.80.94.E1.80.BE.E1.80.84.E1.80.B7.E1.80.BA_.E1.80.95.E1.80.BC.E1.80.B1.E1.80.AC.E1.80.84.E1.80.BA.E1.80.B8.E1.80.9C.E1.80.B2.E1.80.A1.E1.80.9C.E1.80.BB.E1.80.84.E1.80.BA_.E1.80.A1.E1.80.99.E1.80.BB.E1.80.AD.E1.80.AF.E1.80.B8.E1.80.99.E1.80.BB.E1.80.AD.E1.80.AF.E1.80.B8"></span>ကိန်းသေအလျင်နှင့် ပြောင်းလဲအလျင် အမျိုးမျိုး</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%E1%80%A1%E1%80%9C%E1%80%BB%E1%80%84%E1%80%BA&action=edit&section=4" title="ဤအပိုင်းကို တည်းဖြတ်ရန် - ကိန်းသေအလျင်နှင့် ပြောင်းလဲအလျင် အမျိုးမျိုး"><span>ပြင်ဆင်ရန်</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>အလျင်(velocity)က ကိန်းသေငြိမ်သလော၊ ပြောင်းလဲသလော ဟူသည်မှာ ၎င်း၏ <a href="/wiki/%E1%80%A1%E1%80%81%E1%80%BB%E1%80%AD%E1%80%94%E1%80%BA" title="အချိန်">အချိန်</a> <a href="/wiki/%E1%80%90%E1%80%AD%E1%80%AF%E1%80%84%E1%80%BA%E1%80%B8%E1%80%80%E1%80%BC%E1%80%B1%E1%80%AC%E1%80%84%E1%80%BA%E1%80%B8" title="တိုင်းကြောင်း">တိုင်းကြောင်း</a><a href="/wiki/%E1%80%A1%E1%80%9C%E1%80%AD%E1%80%AF%E1%80%80%E1%80%BA_%E1%80%95%E1%80%BC%E1%80%B1%E1%80%AC%E1%80%84%E1%80%BA%E1%80%B8%E1%80%9C%E1%80%B2%E1%80%94%E1%80%BE%E1%80%AF%E1%80%94%E1%80%BA%E1%80%B8" class="mw-redirect" title="အလိုက် ပြောင်းလဲနှုန်း">အလိုက် ပြောင်းလဲနှုန်း</a> (derivative with respect to time) သုည ဖြစ်ခြင်း မဖြစ်ခြင်းနှင့် ခွဲရာ၏။ </p> <div class="mw-heading mw-heading3"><h3 id="ကိန်းသေအလျင်"><span id=".E1.80.80.E1.80.AD.E1.80.94.E1.80.BA.E1.80.B8.E1.80.9E.E1.80.B1.E1.80.A1.E1.80.9C.E1.80.BB.E1.80.84.E1.80.BA"></span>ကိန်းသေအလျင်</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%E1%80%A1%E1%80%9C%E1%80%BB%E1%80%84%E1%80%BA&action=edit&section=5" title="ဤအပိုင်းကို တည်းဖြတ်ရန် - ကိန်းသေအလျင်"><span>ပြင်ဆင်ရန်</span></a><span class="mw-editsection-bracket">]</span></span></div> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\frac {d}{dt}}v=0}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>d</mi> <mrow> <mi>d</mi> <mi>t</mi> </mrow> </mfrac> </mrow> <mi>v</mi> <mo>=</mo> <mn>0</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\frac {d}{dt}}v=0}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/4ba85e625a313b1d70b28317198a2b7d5dc13e22" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.005ex; width:8.28ex; height:5.509ex;" alt="{\displaystyle {\frac {d}{dt}}v=0}"></span></dd></dl> <p>ဟူသော ရလဒ်ထွက်နေလျှင် ထိုအလျင် <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle v}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>v</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle v}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/e07b00e7fc0847fbd16391c778d65bc25c452597" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.128ex; height:1.676ex;" alt="{\displaystyle v}"></span> က <b>ကိန်းသေအလျင် (constant velocity)</b> ဖြစ်၏၊ <b>အချိန်နှင့်လိုက်၍ ပြောင်းလဲမနေသော (သို့) တသမတ်တည်း ဖြစ်နေသော အလျင်</b> ဖြစ်၏။<br /> အလျင်က <a href="/wiki/%E1%80%90%E1%80%8A%E1%80%BA%E1%80%94%E1%80%B1%E1%80%9B%E1%80%AC" title="တည်နေရာ">တည်နေရာ</a>၏ အချိန်အလိုက် ပြောင်းလဲနှုန်း ဖြစ်နေစဉ်တွင်၊ အဆိုပါ အရာဝတ္ထု၏ တည်နေရာက အချိန် <time>t</math> အပေါ် <a href="/wiki/%E1%80%96%E1%80%BE%E1%80%94%E1%80%BA%E1%80%9B%E1%80%BE%E1%80%84%E1%80%BA" class="mw-redirect" title="ဖှန်ရှင်">မှီခိုရလဒ် (fucntion)</a> ဖြစ်မနေလျှင်လည်း၊ တနည်းအားဖြင့် ကိန်းသေ <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle x_{0}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>0</mn> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle x_{0}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/86f21d0e31751534cd6584264ecf864a6aa792cf" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:2.384ex; height:2.009ex;" alt="{\displaystyle x_{0}}"></span> ဖြစ်နေလျှင် (<a href="/wiki/%E1%80%A1%E1%80%9B%E1%80%95%E1%80%BA%E1%80%9E%E1%80%AF%E1%80%B6%E1%80%B8_%E1%80%98%E1%80%AC%E1%80%9E%E1%80%AC%E1%80%85%E1%80%80%E1%80%AC%E1%80%B8" title="အရပ်သုံး ဘာသာစကား">အရပ်သုံးစကား</a>ဖြင့် တည်ငြိမ် ရပ်တံ့နေလျှင်)လည်း၊ <span class="mwe-math-element"><span class="mwe-math-mathml-display mwe-math-mathml-a11y" style="display: none;"><math display="block" xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\frac {d}{dt}}(v)={\frac {d}{dt}}({\frac {dx_{0}}{dt}})={\frac {d}{dt}}(0)=0}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>d</mi> <mrow> <mi>d</mi> <mi>t</mi> </mrow> </mfrac> </mrow> <mo stretchy="false">(</mo> <mi>v</mi> <mo stretchy="false">)</mo> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>d</mi> <mrow> <mi>d</mi> <mi>t</mi> </mrow> </mfrac> </mrow> <mo stretchy="false">(</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi>d</mi> <msub> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>0</mn> </mrow> </msub> </mrow> <mrow> <mi>d</mi> <mi>t</mi> </mrow> </mfrac> </mrow> <mo stretchy="false">)</mo> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>d</mi> <mrow> <mi>d</mi> <mi>t</mi> </mrow> </mfrac> </mrow> <mo stretchy="false">(</mo> <mn>0</mn> <mo stretchy="false">)</mo> <mo>=</mo> <mn>0</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\frac {d}{dt}}(v)={\frac {d}{dt}}({\frac {dx_{0}}{dt}})={\frac {d}{dt}}(0)=0}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/903d64ce100f52e3b61bfc90a41d878ef0441f7d" class="mwe-math-fallback-image-display mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.005ex; width:31.287ex; height:5.509ex;" alt="{\displaystyle {\frac {d}{dt}}(v)={\frac {d}{dt}}({\frac {dx_{0}}{dt}})={\frac {d}{dt}}(0)=0}"></span> ဟု ဖြစ်သွားကာ အလျင်သုညနှင့် ရပ်နေခြင်းသည်လည်း ကိန်းသေအလျင် ဖြစ်ကြောင်း ထင်ရှား၏။<br /> ထို့အတူပင် ရွေ့လျားနေသော်လည်း (သုညမဟုတ်သည့် အလျင် <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle v\neq 0}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>v</mi> <mo>≠</mo> <mn>0</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle v\neq 0}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a45672b5ad4d998225e1692ecd752d20f62fdece" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:5.389ex; height:2.676ex;" alt="{\displaystyle v\neq 0}"></span> တခုခုနှင့် သွားနေသော်လည်း) </time></p> <ul><li>နှေးလာခြင်း-မြန်လာခြင်း ဟူသော <a href="/wiki/%E1%80%95%E1%80%99%E1%80%AC%E1%80%8F%E1%80%9B%E1%80%84%E1%80%BA%E1%80%B8" title="ပမာဏရင်း">ပမာဏ(magnitude)</a> ပြောင်းလဲမှု မရှိ၊</li> <li>ကွေ့ဝိုက်ခြင်း ဟူသော ဦးတည်ချက်(direction) ပြောင်းလဲမှု မရှိ၊</li></ul> <p>သည်အတိုင်းနှုန်းငြိမ် ဆက်ရွေ့နေလျှင်လည်း ကိန်းသေအလျင် မည်ပေမည်။ </p> <div class="mw-heading mw-heading3"><h3 id="ကိန်းသေမဟုတ်သော_(ပြောင်းလဲ)_အလျင်_အမျိုးမျိုး"><span id=".E1.80.80.E1.80.AD.E1.80.94.E1.80.BA.E1.80.B8.E1.80.9E.E1.80.B1.E1.80.99.E1.80.9F.E1.80.AF.E1.80.90.E1.80.BA.E1.80.9E.E1.80.B1.E1.80.AC_.28.E1.80.95.E1.80.BC.E1.80.B1.E1.80.AC.E1.80.84.E1.80.BA.E1.80.B8.E1.80.9C.E1.80.B2.29_.E1.80.A1.E1.80.9C.E1.80.BB.E1.80.84.E1.80.BA_.E1.80.A1.E1.80.99.E1.80.BB.E1.80.AD.E1.80.AF.E1.80.B8.E1.80.99.E1.80.BB.E1.80.AD.E1.80.AF.E1.80.B8"></span>ကိန်းသေမဟုတ်သော (ပြောင်းလဲ) အလျင် အမျိုးမျိုး</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%E1%80%A1%E1%80%9C%E1%80%BB%E1%80%84%E1%80%BA&action=edit&section=6" title="ဤအပိုင်းကို တည်းဖြတ်ရန် - ကိန်းသေမဟုတ်သော (ပြောင်းလဲ) အလျင် အမျိုးမျိုး"><span>ပြင်ဆင်ရန်</span></a><span class="mw-editsection-bracket">]</span></span></div> <div role="note" class="hatnote relarticle mainarticle">အကျယ်တဝင့် ဖော်ပြထားသောဆောင်းပါး - <a href="/wiki/%E1%80%A1%E1%80%9C%E1%80%BB%E1%80%84%E1%80%BA%E1%80%95%E1%80%BC%E1%80%B1%E1%80%AC%E1%80%84%E1%80%BA%E1%80%B8%E1%80%94%E1%80%BE%E1%80%AF%E1%80%94%E1%80%BA%E1%80%B8" title="အလျင်ပြောင်းနှုန်း">အလျင်ပြောင်းနှုန်း</a></div> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle a={\frac {d}{dt}}v\neq 0}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>a</mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>d</mi> <mrow> <mi>d</mi> <mi>t</mi> </mrow> </mfrac> </mrow> <mi>v</mi> <mo>≠</mo> <mn>0</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle a={\frac {d}{dt}}v\neq 0}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/df4ba8e1aabb9fb8ea3a0a5b948c144e3b2fce79" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.005ex; width:12.608ex; height:5.509ex;" alt="{\displaystyle a={\frac {d}{dt}}v\neq 0}"></span></dd></dl> <p>ဟူသော ရလဒ် ဖြစ်ပေါ်နေသရွေ့ အလျင် <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle v}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>v</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle v}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/e07b00e7fc0847fbd16391c778d65bc25c452597" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.128ex; height:1.676ex;" alt="{\displaystyle v}"></span> က အချိန်ကြာလာသည်နှင့်အမျှ </p> <ul><li>နှေးခြင်း-မြန်ခြင်း (<a href="/wiki/%E1%80%A1%E1%80%99%E1%80%BC%E1%80%94%E1%80%BA%E1%80%94%E1%80%BE%E1%80%AF%E1%80%94%E1%80%BA%E1%80%B8" title="အမြန်နှုန်း">အမြန်နှုန်း</a> ပမာဏ ပြောင်းလဲမှုု) ‌ရှိနေမည်၊ သို့မဟုတ်</li> <li>ကွေ့ခြင်းဝိုက်ခြင်း (ဦးတည်ချက် လားရာ ပြောင်းလဲမှု) ရှိနေမည်၊ သို့မဟုတ်</li> <li>နှစ်မျိုးလုံး ပြောင်းလဲလျှင် ပြောင်းလဲနေမည် ဟု ဆိုလို၏။</li></ul> <p>တနည်းအားဖြင့် <a href="/wiki/%E1%80%A1%E1%80%9C%E1%80%BB%E1%80%84%E1%80%BA%E1%80%95%E1%80%BC%E1%80%B1%E1%80%AC%E1%80%84%E1%80%BA%E1%80%B8%E1%80%94%E1%80%BE%E1%80%AF%E1%80%94%E1%80%BA%E1%80%B8" title="အလျင်ပြောင်းနှုန်း">အလျင်ပြောင်းနှုန်း (acceleration)</a> <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle a={\frac {dv}{dt}}\neq 0}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>a</mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi>d</mi> <mi>v</mi> </mrow> <mrow> <mi>d</mi> <mi>t</mi> </mrow> </mfrac> </mrow> <mo>≠</mo> <mn>0</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle a={\frac {dv}{dt}}\neq 0}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/bd3d4d3ded2cd55939dd6eea5029919dc2c096c6" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.005ex; width:11.769ex; height:5.509ex;" alt="{\displaystyle a={\frac {dv}{dt}}\neq 0}"></span> တခုခု ဖြစ်ပေါ်နေမည် ဟု ဆိုလို၏။ </p> <div class="mw-heading mw-heading4"><h4 id="ကိန်းသေအလျင်ပြောင်းနှုန်း_ဖြစ်ပေါ်နေစေမည့်_အလျင်မျိုး"><span id=".E1.80.80.E1.80.AD.E1.80.94.E1.80.BA.E1.80.B8.E1.80.9E.E1.80.B1.E1.80.A1.E1.80.9C.E1.80.BB.E1.80.84.E1.80.BA.E1.80.95.E1.80.BC.E1.80.B1.E1.80.AC.E1.80.84.E1.80.BA.E1.80.B8.E1.80.94.E1.80.BE.E1.80.AF.E1.80.94.E1.80.BA.E1.80.B8_.E1.80.96.E1.80.BC.E1.80.85.E1.80.BA.E1.80.95.E1.80.B1.E1.80.AB.E1.80.BA.E1.80.94.E1.80.B1.E1.80.85.E1.80.B1.E1.80.99.E1.80.8A.E1.80.B7.E1.80.BA_.E1.80.A1.E1.80.9C.E1.80.BB.E1.80.84.E1.80.BA.E1.80.99.E1.80.BB.E1.80.AD.E1.80.AF.E1.80.B8"></span>ကိန်းသေအလျင်ပြောင်းနှုန်း ဖြစ်ပေါ်နေစေမည့် အလျင်မျိုး</h4><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%E1%80%A1%E1%80%9C%E1%80%BB%E1%80%84%E1%80%BA&action=edit&section=7" title="ဤအပိုင်းကို တည်းဖြတ်ရန် - ကိန်းသေအလျင်ပြောင်းနှုန်း ဖြစ်ပေါ်နေစေမည့် အလျင်မျိုး"><span>ပြင်ဆင်ရန်</span></a><span class="mw-editsection-bracket">]</span></span></div> <p><a href="/wiki/%E1%80%90%E1%80%8A%E1%80%BA%E1%80%94%E1%80%B1%E1%80%9B%E1%80%AC" title="တည်နေရာ">တည်နေရာ</a> <a href="/wiki/%E1%80%96%E1%80%BE%E1%80%94%E1%80%BA%E1%80%9B%E1%80%BE%E1%80%84%E1%80%BA" class="mw-redirect" title="ဖှန်ရှင်">ဖြစ်ပေါ်နေမှု</a>က <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle x=x(t)=kt^{2}+x_{0}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>x</mi> <mo>=</mo> <mi>x</mi> <mo stretchy="false">(</mo> <mi>t</mi> <mo stretchy="false">)</mo> <mo>=</mo> <mi>k</mi> <msup> <mi>t</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>+</mo> <msub> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>0</mn> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle x=x(t)=kt^{2}+x_{0}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/2017c6b2b4ba6a77b0e3cc6b2de90a94fff3a2c3" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:19.835ex; height:3.176ex;" alt="{\displaystyle x=x(t)=kt^{2}+x_{0}}"></span> ဟူသကဲ့သို့ အချိန် <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle t}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>t</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle t}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/65658b7b223af9e1acc877d848888ecdb4466560" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:0.84ex; height:2.009ex;" alt="{\displaystyle t}"></span> ၏ ထပ်ညွှန်းကိန်း 2 ဖြစ်နေလျှင် ထိုအရာဝတ္ထု၏ အလျင် <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle v={\frac {dx}{dt}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>v</mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi>d</mi> <mi>x</mi> </mrow> <mrow> <mi>d</mi> <mi>t</mi> </mrow> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle v={\frac {dx}{dt}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/202780366007719e93890eeb1b5c4b6bde70e298" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.005ex; width:7.608ex; height:5.509ex;" alt="{\displaystyle v={\frac {dx}{dt}}}"></span> က အချိန်နှင့်အမျှ ပမာဏလည်း ပြောင်းလဲနေပြီး ၎င်း၏ အလျင်ပြောင်းနှုန်း <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle a={\frac {dv}{dt}}={\frac {d^{2}x}{dt^{2}}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>a</mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi>d</mi> <mi>v</mi> </mrow> <mrow> <mi>d</mi> <mi>t</mi> </mrow> </mfrac> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <msup> <mi>d</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mi>x</mi> </mrow> <mrow> <mi>d</mi> <msup> <mi>t</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mrow> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle a={\frac {dv}{dt}}={\frac {d^{2}x}{dt^{2}}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ac12328b236123cc4800ce204f6070214ba546a5" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.171ex; width:15.044ex; height:6.009ex;" alt="{\displaystyle a={\frac {dv}{dt}}={\frac {d^{2}x}{dt^{2}}}}"></span> ကမူ ကိန်းသေတစ်ခု <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle a_{0}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>0</mn> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle a_{0}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/693ad9f934775838bd72406b41ada4a59785d7ba" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:2.284ex; height:2.009ex;" alt="{\displaystyle a_{0}}"></span> ဖြစ်နေပေမည်။ <span class="mwe-math-element"><span class="mwe-math-mathml-display mwe-math-mathml-a11y" style="display: none;"><math display="block" xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle a(t)=a_{0}={\frac {d^{2}}{dt^{2}}}x(t)}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>a</mi> <mo stretchy="false">(</mo> <mi>t</mi> <mo stretchy="false">)</mo> <mo>=</mo> <msub> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>0</mn> </mrow> </msub> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <msup> <mi>d</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mrow> <mi>d</mi> <msup> <mi>t</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mrow> </mfrac> </mrow> <mi>x</mi> <mo stretchy="false">(</mo> <mi>t</mi> <mo stretchy="false">)</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle a(t)=a_{0}={\frac {d^{2}}{dt^{2}}}x(t)}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ee5666a1fc055d75788f9913df291e50a6b6d645" class="mwe-math-fallback-image-display mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.171ex; width:20.284ex; height:6.009ex;" alt="{\displaystyle a(t)=a_{0}={\frac {d^{2}}{dt^{2}}}x(t)}"></span> <span class="mwe-math-element"><span class="mwe-math-mathml-display mwe-math-mathml-a11y" style="display: none;"><math display="block" xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle v(t)={\frac {d}{dt}}x(t)=v_{0}+a_{0}t}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>v</mi> <mo stretchy="false">(</mo> <mi>t</mi> <mo stretchy="false">)</mo> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>d</mi> <mrow> <mi>d</mi> <mi>t</mi> </mrow> </mfrac> </mrow> <mi>x</mi> <mo stretchy="false">(</mo> <mi>t</mi> <mo stretchy="false">)</mo> <mo>=</mo> <msub> <mi>v</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>0</mn> </mrow> </msub> <mo>+</mo> <msub> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>0</mn> </mrow> </msub> <mi>t</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle v(t)={\frac {d}{dt}}x(t)=v_{0}+a_{0}t}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/726be5e67a4afb264ddb8264358acb2633b1dff6" class="mwe-math-fallback-image-display mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.005ex; width:24.99ex; height:5.509ex;" alt="{\displaystyle v(t)={\frac {d}{dt}}x(t)=v_{0}+a_{0}t}"></span> <span class="mwe-math-element"><span class="mwe-math-mathml-display mwe-math-mathml-a11y" style="display: none;"><math display="block" xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle x(t)=x_{0}+v_{0}t+{\frac {1}{2}}a_{0}t^{2}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>x</mi> <mo stretchy="false">(</mo> <mi>t</mi> <mo stretchy="false">)</mo> <mo>=</mo> <msub> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>0</mn> </mrow> </msub> <mo>+</mo> <msub> <mi>v</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>0</mn> </mrow> </msub> <mi>t</mi> <mo>+</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mn>2</mn> </mfrac> </mrow> <msub> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>0</mn> </mrow> </msub> <msup> <mi>t</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle x(t)=x_{0}+v_{0}t+{\frac {1}{2}}a_{0}t^{2}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/e8f46cff25127afbddff5f4e5596429db102c084" class="mwe-math-fallback-image-display mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:24.34ex; height:5.176ex;" alt="{\displaystyle x(t)=x_{0}+v_{0}t+{\frac {1}{2}}a_{0}t^{2}}"></span> </p> <div class="mw-heading mw-heading4"><h4 id="ပြောင်းလဲအလျင်ပြောင်းနှုန်း_ဖြစ်ပေါ်နေစေမည့်_အလျင်_အမျိုးမျိုး"><span id=".E1.80.95.E1.80.BC.E1.80.B1.E1.80.AC.E1.80.84.E1.80.BA.E1.80.B8.E1.80.9C.E1.80.B2.E1.80.A1.E1.80.9C.E1.80.BB.E1.80.84.E1.80.BA.E1.80.95.E1.80.BC.E1.80.B1.E1.80.AC.E1.80.84.E1.80.BA.E1.80.B8.E1.80.94.E1.80.BE.E1.80.AF.E1.80.94.E1.80.BA.E1.80.B8_.E1.80.96.E1.80.BC.E1.80.85.E1.80.BA.E1.80.95.E1.80.B1.E1.80.AB.E1.80.BA.E1.80.94.E1.80.B1.E1.80.85.E1.80.B1.E1.80.99.E1.80.8A.E1.80.B7.E1.80.BA_.E1.80.A1.E1.80.9C.E1.80.BB.E1.80.84.E1.80.BA_.E1.80.A1.E1.80.99.E1.80.BB.E1.80.AD.E1.80.AF.E1.80.B8.E1.80.99.E1.80.BB.E1.80.AD.E1.80.AF.E1.80.B8"></span>ပြောင်းလဲအလျင်ပြောင်းနှုန်း ဖြစ်ပေါ်နေစေမည့် အလျင် အမျိုးမျိုး</h4><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%E1%80%A1%E1%80%9C%E1%80%BB%E1%80%84%E1%80%BA&action=edit&section=8" title="ဤအပိုင်းကို တည်းဖြတ်ရန် - ပြောင်းလဲအလျင်ပြောင်းနှုန်း ဖြစ်ပေါ်နေစေမည့် အလျင် အမျိုးမျိုး"><span>ပြင်ဆင်ရန်</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>တည်နေရာ ဖြစ်ပေါ်နေမှုက <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle x=x(t)=kt^{n}+x_{0}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>x</mi> <mo>=</mo> <mi>x</mi> <mo stretchy="false">(</mo> <mi>t</mi> <mo stretchy="false">)</mo> <mo>=</mo> <mi>k</mi> <msup> <mi>t</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>n</mi> </mrow> </msup> <mo>+</mo> <msub> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>0</mn> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle x=x(t)=kt^{n}+x_{0}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f1dc235432f61b7bdf23431f899fdf50aa346a4f" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:19.999ex; height:2.843ex;" alt="{\displaystyle x=x(t)=kt^{n}+x_{0}}"></span> ဟူသကဲ့သို့ ပုံစံမျိုး၌ ထပ်ညွှန်းကိန်း <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle n}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>n</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle n}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a601995d55609f2d9f5e233e36fbe9ea26011b3b" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.395ex; height:1.676ex;" alt="{\displaystyle n}"></span> က 0, 1, 2 ဤတန်ဖိုး၃မျိုးမှ လွဲ၍ အခြား ဖြစ်နေလျှင်မူ အလျင် <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle v={\frac {dx}{dt}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>v</mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi>d</mi> <mi>x</mi> </mrow> <mrow> <mi>d</mi> <mi>t</mi> </mrow> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle v={\frac {dx}{dt}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/202780366007719e93890eeb1b5c4b6bde70e298" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.005ex; width:7.608ex; height:5.509ex;" alt="{\displaystyle v={\frac {dx}{dt}}}"></span> က အချိန်နှင့်အမျှ ပမာဏလည်း ပြောင်းလဲနေသည့်အပြင် ၎င်း၏ အလျင်ပြောင်းနှုန်း <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle a={\frac {dv}{dt}}={\frac {d^{2}x}{dx^{2}}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>a</mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi>d</mi> <mi>v</mi> </mrow> <mrow> <mi>d</mi> <mi>t</mi> </mrow> </mfrac> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <msup> <mi>d</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mi>x</mi> </mrow> <mrow> <mi>d</mi> <msup> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mrow> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle a={\frac {dv}{dt}}={\frac {d^{2}x}{dx^{2}}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/71e539968d8505aa5935f77834876599ec336693" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.171ex; width:15.044ex; height:6.009ex;" alt="{\displaystyle a={\frac {dv}{dt}}={\frac {d^{2}x}{dx^{2}}}}"></span> ကလည်း ကိန်းသေမဟုတ်ဘဲ အချိန် <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle t}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>t</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle t}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/65658b7b223af9e1acc877d848888ecdb4466560" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:0.84ex; height:2.009ex;" alt="{\displaystyle t}"></span> လိုက် ပြောင်းလဲနေပေမည်။ </p> <div class="mw-heading mw-heading2"><h2 id="အကိုးအကား"><span id=".E1.80.A1.E1.80.80.E1.80.AD.E1.80.AF.E1.80.B8.E1.80.A1.E1.80.80.E1.80.AC.E1.80.B8"></span>အကိုးအကား</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%E1%80%A1%E1%80%9C%E1%80%BB%E1%80%84%E1%80%BA&action=edit&section=9" title="ဤအပိုင်းကို တည်းဖြတ်ရန် - အကိုးအကား"><span>ပြင်ဆင်ရန်</span></a><span class="mw-editsection-bracket">]</span></span></div> <style data-mw-deduplicate="TemplateStyles:r723126">.mw-parser-output .reflist{font-size:90%;margin-bottom:0.5em;list-style-type:decimal}.mw-parser-output .reflist .references{font-size:100%;margin-bottom:0;list-style-type:inherit}.mw-parser-output .reflist-columns-2{column-width:30em}.mw-parser-output .reflist-columns-3{column-width:25em}.mw-parser-output .reflist-columns{margin-top:0.3em}.mw-parser-output .reflist-columns ol{margin-top:0}.mw-parser-output .reflist-columns li{page-break-inside:avoid;break-inside:avoid-column}.mw-parser-output .reflist-upper-alpha{list-style-type:upper-alpha}.mw-parser-output .reflist-upper-roman{list-style-type:upper-roman}.mw-parser-output .reflist-lower-alpha{list-style-type:lower-alpha}.mw-parser-output .reflist-lower-greek{list-style-type:lower-greek}.mw-parser-output .reflist-lower-roman{list-style-type:lower-roman}</style><div class="reflist"> <div class="mw-references-wrap"><ol class="references"> <li id="cite_note-1"><span class="mw-cite-backlink"><a href="#cite_ref-1">↑</a></span> <span class="reference-text">"Physics for Eingineers and Scientists" by <i>Hans C. 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