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[o]" accesskey="o"><span class="vector-icon mw-ui-icon-logIn mw-ui-icon-wikimedia-logIn"></span> <span>Hyni</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"> Pages for logged out editors <a href="/wiki/Ndihm%C3%AB:Introduction" aria-label="Learn more about editing"><span>learn more</span></a> </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="pt-anontalk" class="mw-list-item"><a href="/wiki/Speciale:DiskutimetVetjake" title="Faqja e diskutimeve të përdoruesve anonim për këtë adresë IP [n]" accesskey="n"><span>Diskutimi</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="Site"> <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="Contents" 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">Contents</h2> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-toc.pin">move to sidebar</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-toc.unpin">fshihe</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">Fillim</div> </a> </li> <li id="toc-Zhvendosja_dhe_rruga" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Zhvendosja_dhe_rruga"> <div class="vector-toc-text"> <span class="vector-toc-numb">1</span> <span>Zhvendosja dhe rruga</span> </div> </a> <ul id="toc-Zhvendosja_dhe_rruga-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Trup_i_ngurte" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Trup_i_ngurte"> <div class="vector-toc-text"> <span class="vector-toc-numb">2</span> <span>Trup i ngurte</span> </div> </a> <ul id="toc-Trup_i_ngurte-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Derivatet" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Derivatet"> <div class="vector-toc-text"> <span class="vector-toc-numb">3</span> <span>Derivatet</span> </div> </a> <ul id="toc-Derivatet-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="Contents" 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">Zhvendosja (fizikë)</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 57 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-57" 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">57 gjuhë</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="interlanguage-link interwiki-am mw-list-item"><a href="https://am.wikipedia.org/wiki/%E1%88%9D%E1%8B%95%E1%88%AB%E1%8D%8D" title="ምዕራፍ – amarisht" lang="am" hreflang="am" data-title="ምዕራፍ" data-language-autonym="አማርኛ" data-language-local-name="amarisht" class="interlanguage-link-target"><span>አማርኛ</span></a></li><li class="interlanguage-link interwiki-ar mw-list-item"><a href="https://ar.wikipedia.org/wiki/%D8%A5%D8%B2%D8%A7%D8%AD%D8%A9_(%D9%81%D9%8A%D8%B2%D9%8A%D8%A7%D8%A1)" title="إزاحة (فيزياء) – arabisht" lang="ar" hreflang="ar" data-title="إزاحة (فيزياء)" data-language-autonym="العربية" data-language-local-name="arabisht" 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%B8%E0%A7%B0%E0%A6%A3" title="সৰণ – asamezisht" lang="as" hreflang="as" data-title="সৰণ" data-language-autonym="অসমীয়া" data-language-local-name="asamezisht" class="interlanguage-link-target"><span>অসমীয়া</span></a></li><li class="interlanguage-link interwiki-be mw-list-item"><a href="https://be.wikipedia.org/wiki/%D0%9F%D0%B5%D1%80%D0%B0%D0%BC%D1%8F%D1%88%D1%87%D1%8D%D0%BD%D0%BD%D0%B5" title="Перамяшчэнне – bjellorusisht" lang="be" hreflang="be" data-title="Перамяшчэнне" data-language-autonym="Беларуская" data-language-local-name="bjellorusisht" 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%9F%D0%B5%D1%80%D0%B0%D0%BC%D1%8F%D1%88%D1%87%D1%8D%D0%BD%D1%8C%D0%BD%D0%B5" title="Перамяшчэньне – Belarusian (Taraškievica orthography)" lang="be-tarask" hreflang="be-tarask" data-title="Перамяшчэньне" 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%9F%D1%80%D0%B5%D0%BC%D0%B5%D1%81%D1%82%D0%B2%D0%B0%D0%BD%D0%B5_(%D0%B2%D0%B5%D0%BA%D1%82%D0%BE%D1%80)" title="Преместване (вектор) – bullgarisht" lang="bg" hreflang="bg" data-title="Преместване (вектор)" data-language-autonym="Български" data-language-local-name="bullgarisht" class="interlanguage-link-target"><span>Български</span></a></li><li class="interlanguage-link interwiki-bn mw-list-item"><a href="https://bn.wikipedia.org/wiki/%E0%A6%B8%E0%A6%B0%E0%A6%A3" title="সরণ – bengalisht" lang="bn" hreflang="bn" data-title="সরণ" data-language-autonym="বাংলা" data-language-local-name="bengalisht" class="interlanguage-link-target"><span>বাংলা</span></a></li><li class="interlanguage-link interwiki-ca mw-list-item"><a href="https://ca.wikipedia.org/wiki/Despla%C3%A7ament_(cinem%C3%A0tica)" title="Desplaçament (cinemàtica) – katalonisht" lang="ca" hreflang="ca" data-title="Desplaçament (cinemàtica)" data-language-autonym="Català" data-language-local-name="katalonisht" class="interlanguage-link-target"><span>Català</span></a></li><li class="interlanguage-link interwiki-cv mw-list-item"><a href="https://cv.wikipedia.org/wiki/%D0%9A%D1%83%D2%AB%D0%BD%C4%83%D0%BB%C4%83%D1%85" title="Куҫнăлăх – çuvashisht" lang="cv" hreflang="cv" data-title="Куҫнăлăх" data-language-autonym="Чӑвашла" data-language-local-name="çuvashisht" 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/Dadleoliad" title="Dadleoliad – uellsisht" lang="cy" hreflang="cy" data-title="Dadleoliad" data-language-autonym="Cymraeg" data-language-local-name="uellsisht" class="interlanguage-link-target"><span>Cymraeg</span></a></li><li class="interlanguage-link interwiki-el mw-list-item"><a href="https://el.wikipedia.org/wiki/%CE%9C%CE%B5%CF%84%CE%B1%CF%84%CF%8C%CF%80%CE%B9%CF%83%CE%B7" title="Μετατόπιση – greqisht" lang="el" hreflang="el" data-title="Μετατόπιση" data-language-autonym="Ελληνικά" data-language-local-name="greqisht" 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/Displacement_(geometry)" title="Displacement (geometry) – anglisht" lang="en" hreflang="en" data-title="Displacement (geometry)" data-language-autonym="English" data-language-local-name="anglisht" class="interlanguage-link-target"><span>English</span></a></li><li class="interlanguage-link interwiki-es mw-list-item"><a href="https://es.wikipedia.org/wiki/Desplazamiento_(vector)" title="Desplazamiento (vector) – spanjisht" lang="es" hreflang="es" data-title="Desplazamiento (vector)" data-language-autonym="Español" data-language-local-name="spanjisht" 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/Siire_(mehaanika)" title="Siire (mehaanika) – estonisht" lang="et" hreflang="et" data-title="Siire (mehaanika)" data-language-autonym="Eesti" data-language-local-name="estonisht" 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/Desplazamendu_(fisika)" title="Desplazamendu (fisika) – baskisht" lang="eu" hreflang="eu" data-title="Desplazamendu (fisika)" data-language-autonym="Euskara" data-language-local-name="baskisht" class="interlanguage-link-target"><span>Euskara</span></a></li><li class="interlanguage-link interwiki-fa mw-list-item"><a href="https://fa.wikipedia.org/wiki/%D8%A8%D8%B1%D8%AF%D8%A7%D8%B1_%D8%AC%D8%A7%D8%A8%D9%87%E2%80%8C%D8%AC%D8%A7%DB%8C%DB%8C" title="بردار جابه‌جایی – persisht" lang="fa" hreflang="fa" data-title="بردار جابه‌جایی" data-language-autonym="فارسی" data-language-local-name="persisht" class="interlanguage-link-target"><span>فارسی</span></a></li><li class="interlanguage-link interwiki-fr mw-list-item"><a href="https://fr.wikipedia.org/wiki/D%C3%A9placement_(g%C3%A9om%C3%A9trie)" title="Déplacement (géométrie) – frëngjisht" lang="fr" hreflang="fr" data-title="Déplacement (géométrie)" data-language-autonym="Français" data-language-local-name="frëngjisht" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-he mw-list-item"><a href="https://he.wikipedia.org/wiki/%D7%94%D7%A2%D7%AA%D7%A7_(%D7%A4%D7%99%D7%96%D7%99%D7%A7%D7%94)" title="העתק (פיזיקה) – hebraisht" lang="he" hreflang="he" data-title="העתק (פיזיקה)" data-language-autonym="עברית" data-language-local-name="hebraisht" 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%A4%BF%E0%A4%B8%E0%A5%8D%E0%A4%A5%E0%A4%BE%E0%A4%AA%E0%A4%A8_(%E0%A4%B8%E0%A4%A6%E0%A4%BF%E0%A4%B6)" title="विस्थापन (सदिश) – indisht" lang="hi" hreflang="hi" data-title="विस्थापन (सदिश)" data-language-autonym="हिन्दी" data-language-local-name="indisht" class="interlanguage-link-target"><span>हिन्दी</span></a></li><li class="interlanguage-link interwiki-ht mw-list-item"><a href="https://ht.wikipedia.org/wiki/Deplasman" title="Deplasman – kreolishte e Haitit" lang="ht" hreflang="ht" data-title="Deplasman" data-language-autonym="Kreyòl ayisyen" data-language-local-name="kreolishte e Haitit" class="interlanguage-link-target"><span>Kreyòl ayisyen</span></a></li><li class="interlanguage-link interwiki-hy mw-list-item"><a href="https://hy.wikipedia.org/wiki/%D5%8F%D5%A5%D5%B2%D5%A1%D6%83%D5%B8%D5%AD%D5%B8%D6%82%D5%A9%D5%B5%D5%B8%D6%82%D5%B6_(%D6%86%D5%AB%D5%A6%D5%AB%D5%AF%D5%A1)" title="Տեղափոխություն (ֆիզիկա) – armenisht" lang="hy" hreflang="hy" data-title="Տեղափոխություն (ֆիզիկա)" data-language-autonym="Հայերեն" data-language-local-name="armenisht" class="interlanguage-link-target"><span>Հայերեն</span></a></li><li class="interlanguage-link interwiki-id mw-list-item"><a href="https://id.wikipedia.org/wiki/Perpindahan" title="Perpindahan – indonezisht" lang="id" hreflang="id" data-title="Perpindahan" data-language-autonym="Bahasa Indonesia" data-language-local-name="indonezisht" class="interlanguage-link-target"><span>Bahasa Indonesia</span></a></li><li class="interlanguage-link interwiki-it mw-list-item"><a href="https://it.wikipedia.org/wiki/Spostamento_(cinematica)" title="Spostamento (cinematica) – italisht" lang="it" hreflang="it" data-title="Spostamento (cinematica)" data-language-autonym="Italiano" data-language-local-name="italisht" 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/%E5%A4%89%E4%BD%8D" title="変位 – japonisht" lang="ja" hreflang="ja" data-title="変位" data-language-autonym="日本語" data-language-local-name="japonisht" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-kk mw-list-item"><a href="https://kk.wikipedia.org/wiki/%D0%90%D1%83%D1%8B%D1%81%D1%82%D1%8B%D1%80%D1%83" title="Ауыстыру – kazakisht" lang="kk" hreflang="kk" data-title="Ауыстыру" data-language-autonym="Қазақша" data-language-local-name="kazakisht" class="interlanguage-link-target"><span>Қазақша</span></a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/%EB%B3%80%EC%9C%84" title="변위 – koreanisht" lang="ko" hreflang="ko" data-title="변위" data-language-autonym="한국어" data-language-local-name="koreanisht" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-lt mw-list-item"><a href="https://lt.wikipedia.org/wiki/Poslinkis" title="Poslinkis – lituanisht" lang="lt" hreflang="lt" data-title="Poslinkis" data-language-autonym="Lietuvių" data-language-local-name="lituanisht" 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/P%C4%81rvietojums" title="Pārvietojums – letonisht" lang="lv" hreflang="lv" data-title="Pārvietojums" data-language-autonym="Latviešu" data-language-local-name="letonisht" class="interlanguage-link-target"><span>Latviešu</span></a></li><li class="interlanguage-link interwiki-mk mw-list-item"><a href="https://mk.wikipedia.org/wiki/%D0%9F%D0%BE%D0%BC%D0%B5%D1%81%D1%82%D1%83%D0%B2%D0%B0%D1%9A%D0%B5_(%D0%B2%D0%B5%D0%BA%D1%82%D0%BE%D1%80)" title="Поместување (вектор) – maqedonisht" lang="mk" hreflang="mk" data-title="Поместување (вектор)" data-language-autonym="Македонски" data-language-local-name="maqedonisht" 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%B8%E0%B5%8D%E0%B4%A5%E0%B4%BE%E0%B4%A8%E0%B4%BE%E0%B4%A8%E0%B5%8D%E0%B4%A4%E0%B4%B0%E0%B4%82" title="സ്ഥാനാന്തരം – malajalamisht" lang="ml" hreflang="ml" data-title="സ്ഥാനാന്തരം" data-language-autonym="മലയാളം" data-language-local-name="malajalamisht" class="interlanguage-link-target"><span>മലയാളം</span></a></li><li class="interlanguage-link interwiki-mr mw-list-item"><a href="https://mr.wikipedia.org/wiki/%E0%A4%B5%E0%A4%BF%E0%A4%B8%E0%A5%8D%E0%A4%A5%E0%A4%BE%E0%A4%AA%E0%A4%A8_(%E0%A4%B8%E0%A4%A6%E0%A4%BF%E0%A4%B6)" title="विस्थापन (सदिश) – maratisht" lang="mr" hreflang="mr" data-title="विस्थापन (सदिश)" data-language-autonym="मराठी" data-language-local-name="maratisht" 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/Sesaran" title="Sesaran – malajisht" lang="ms" hreflang="ms" data-title="Sesaran" data-language-autonym="Bahasa Melayu" data-language-local-name="malajisht" class="interlanguage-link-target"><span>Bahasa Melayu</span></a></li><li class="interlanguage-link interwiki-my mw-list-item"><a href="https://my.wikipedia.org/wiki/%E1%80%A1%E1%80%9B%E1%80%BD%E1%80%B1%E1%80%B7" title="အရွေ့ – birmanisht" lang="my" hreflang="my" data-title="အရွေ့" data-language-autonym="မြန်မာဘာသာ" data-language-local-name="birmanisht" class="interlanguage-link-target"><span>မြန်မာဘာသာ</span></a></li><li class="interlanguage-link interwiki-om mw-list-item"><a href="https://om.wikipedia.org/wiki/Qaxxaamura" title="Qaxxaamura – oromoisht" lang="om" hreflang="om" data-title="Qaxxaamura" data-language-autonym="Oromoo" data-language-local-name="oromoisht" 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%A8%BF%E0%A9%B1%E0%A8%A5" title="ਵਿੱਥ – punxhabisht" lang="pa" hreflang="pa" data-title="ਵਿੱਥ" data-language-autonym="ਪੰਜਾਬੀ" data-language-local-name="punxhabisht" 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/Przemieszczenie_(fizyka)" title="Przemieszczenie (fizyka) – polonisht" lang="pl" hreflang="pl" data-title="Przemieszczenie (fizyka)" data-language-autonym="Polski" data-language-local-name="polonisht" class="interlanguage-link-target"><span>Polski</span></a></li><li class="interlanguage-link interwiki-pnb mw-list-item"><a href="https://pnb.wikipedia.org/wiki/%D9%88%D8%AA%DA%BE%D9%91" title="وتھّ – Western Punjabi" lang="pnb" hreflang="pnb" data-title="وتھّ" 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/Deslocamento" title="Deslocamento – portugalisht" lang="pt" hreflang="pt" data-title="Deslocamento" data-language-autonym="Português" data-language-local-name="portugalisht" class="interlanguage-link-target"><span>Português</span></a></li><li class="interlanguage-link interwiki-ru mw-list-item"><a href="https://ru.wikipedia.org/wiki/%D0%9F%D0%B5%D1%80%D0%B5%D0%BC%D0%B5%D1%89%D0%B5%D0%BD%D0%B8%D0%B5" title="Перемещение – rusisht" lang="ru" hreflang="ru" data-title="Перемещение" data-language-autonym="Русский" data-language-local-name="rusisht" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-sh mw-list-item"><a href="https://sh.wikipedia.org/wiki/Pomeraj" title="Pomeraj – serbo-kroatisht" lang="sh" hreflang="sh" data-title="Pomeraj" data-language-autonym="Srpskohrvatski / српскохрватски" data-language-local-name="serbo-kroatisht" class="interlanguage-link-target"><span>Srpskohrvatski / српскохрватски</span></a></li><li class="interlanguage-link interwiki-simple mw-list-item"><a href="https://simple.wikipedia.org/wiki/Displacement_vector" title="Displacement vector – Simple English" lang="en-simple" hreflang="en-simple" data-title="Displacement vector" 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-sn mw-list-item"><a href="https://sn.wikipedia.org/wiki/Nhambwe_yasudurukwa" title="Nhambwe yasudurukwa – shonisht" lang="sn" hreflang="sn" data-title="Nhambwe yasudurukwa" data-language-autonym="ChiShona" data-language-local-name="shonisht" class="interlanguage-link-target"><span>ChiShona</span></a></li><li class="interlanguage-link interwiki-sr mw-list-item"><a href="https://sr.wikipedia.org/wiki/%D0%92%D0%B5%D0%BA%D1%82%D0%BE%D1%80_%D0%BF%D0%BE%D0%BC%D0%B5%D1%80%D0%B0%D1%98%D0%B0" title="Вектор помераја – serbisht" lang="sr" hreflang="sr" data-title="Вектор помераја" data-language-autonym="Српски / srpski" data-language-local-name="serbisht" class="interlanguage-link-target"><span>Српски / srpski</span></a></li><li class="interlanguage-link interwiki-ta mw-list-item"><a href="https://ta.wikipedia.org/wiki/%E0%AE%87%E0%AE%9F%E0%AE%AA%E0%AF%8D%E0%AE%AA%E0%AF%86%E0%AE%AF%E0%AE%B0%E0%AF%8D%E0%AE%9A%E0%AF%8D%E0%AE%9A%E0%AE%BF" title="இடப்பெயர்ச்சி – tamilisht" lang="ta" hreflang="ta" data-title="இடப்பெயர்ச்சி" data-language-autonym="தமிழ்" data-language-local-name="tamilisht" 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%B8%E0%B1%8D%E0%B0%A5%E0%B0%BE%E0%B0%A8%E0%B0%AD%E0%B1%8D%E0%B0%B0%E0%B0%82%E0%B0%B6%E0%B0%AE%E0%B1%81" title="స్థానభ్రంశము – teluguisht" lang="te" hreflang="te" data-title="స్థానభ్రంశము" data-language-autonym="తెలుగు" data-language-local-name="teluguisht" class="interlanguage-link-target"><span>తెలుగు</span></a></li><li class="interlanguage-link interwiki-th mw-list-item"><a href="https://th.wikipedia.org/wiki/%E0%B8%81%E0%B8%B2%E0%B8%A3%E0%B8%81%E0%B8%A3%E0%B8%B0%E0%B8%88%E0%B8%B1%E0%B8%94_(%E0%B9%80%E0%B8%A7%E0%B8%81%E0%B9%80%E0%B8%95%E0%B8%AD%E0%B8%A3%E0%B9%8C)" title="การกระจัด (เวกเตอร์) – tajlandisht" lang="th" hreflang="th" data-title="การกระจัด (เวกเตอร์)" data-language-autonym="ไทย" data-language-local-name="tajlandisht" class="interlanguage-link-target"><span>ไทย</span></a></li><li class="interlanguage-link interwiki-tk mw-list-item"><a href="https://tk.wikipedia.org/wiki/%C3%9Dol_we_orun_%C3%BC%C3%BDtgetme" title="Ýol we orun üýtgetme – turkmenisht" lang="tk" hreflang="tk" data-title="Ýol we orun üýtgetme" data-language-autonym="Türkmençe" data-language-local-name="turkmenisht" class="interlanguage-link-target"><span>Türkmençe</span></a></li><li class="interlanguage-link interwiki-tl mw-list-item"><a href="https://tl.wikipedia.org/wiki/Displasmento_(Heometriya)" title="Displasmento (Heometriya) – Tagalog" lang="tl" hreflang="tl" data-title="Displasmento (Heometriya)" 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/Yer_de%C4%9Fi%C5%9Ftirme_(fizik)" title="Yer değiştirme (fizik) – turqisht" lang="tr" hreflang="tr" data-title="Yer değiştirme (fizik)" data-language-autonym="Türkçe" data-language-local-name="turqisht" class="interlanguage-link-target"><span>Türkçe</span></a></li><li class="interlanguage-link interwiki-uk mw-list-item"><a href="https://uk.wikipedia.org/wiki/%D0%9F%D0%B5%D1%80%D0%B5%D0%BC%D1%96%D1%89%D0%B5%D0%BD%D0%BD%D1%8F" title="Переміщення – ukrainisht" lang="uk" hreflang="uk" data-title="Переміщення" data-language-autonym="Українська" data-language-local-name="ukrainisht" 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/%DB%81%D9%B9%D8%A7%D8%A4" title="ہٹاؤ – urduisht" lang="ur" hreflang="ur" data-title="ہٹاؤ" data-language-autonym="اردو" data-language-local-name="urduisht" 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/Ko%27chish_(Fizika)" title="Ko'chish (Fizika) – uzbekisht" lang="uz" hreflang="uz" data-title="Ko'chish (Fizika)" data-language-autonym="Oʻzbekcha / ўзбекча" data-language-local-name="uzbekisht" class="interlanguage-link-target"><span>Oʻzbekcha / ўзбекча</span></a></li><li class="interlanguage-link interwiki-vi mw-list-item"><a href="https://vi.wikipedia.org/wiki/Li_%C4%91%E1%BB%99" title="Li độ – vietnamisht" lang="vi" hreflang="vi" data-title="Li độ" data-language-autonym="Tiếng Việt" data-language-local-name="vietnamisht" class="interlanguage-link-target"><span>Tiếng Việt</span></a></li><li class="interlanguage-link interwiki-xh mw-list-item"><a href="https://xh.wikipedia.org/wiki/I-displacement_vector" title="I-displacement vector – xhosaisht" lang="xh" hreflang="xh" data-title="I-displacement vector" data-language-autonym="IsiXhosa" data-language-local-name="xhosaisht" class="interlanguage-link-target"><span>IsiXhosa</span></a></li><li class="interlanguage-link interwiki-zh mw-list-item"><a href="https://zh.wikipedia.org/wiki/%E4%BD%8D%E7%A7%BB" title="位移 – kinezisht" lang="zh" hreflang="zh" data-title="位移" data-language-autonym="中文" data-language-local-name="kinezisht" 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/%E4%BD%8D%E7%A7%BB" title="位移 – Literary Chinese" lang="lzh" hreflang="lzh" data-title="位移" 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-yue mw-list-item"><a href="https://zh-yue.wikipedia.org/wiki/%E4%BD%8D%E7%A7%BB" title="位移 – kantonezisht" lang="yue" hreflang="yue" data-title="位移" data-language-autonym="粵語" data-language-local-name="kantonezisht" 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 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</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">Nga Wikipedia, enciklopedia e lirë</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="sq" dir="ltr"><figure class="mw-default-size" typeof="mw:File/Thumb"><a href="/wiki/Skeda:Distancedisplacement.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/4/40/Distancedisplacement.svg/220px-Distancedisplacement.svg.png" decoding="async" width="220" height="136" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/40/Distancedisplacement.svg/330px-Distancedisplacement.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/40/Distancedisplacement.svg/440px-Distancedisplacement.svg.png 2x" data-file-width="323" data-file-height="200" /></a><figcaption> Zhvendosja kundrejt largësisë së përshkuar përgjatë një shtegu</figcaption></figure> <p>Në <a href="/wiki/Gjeometria" title="Gjeometria">gjeometri</a> dhe <a href="/wiki/Mekanik%C3%AB" class="mw-redirect" title="Mekanikë">mekanikë</a>, <b>zhvendosja</b> është një <a href="/wiki/Vektori" title="Vektori">vektor</a>, gjatësia e të cilit është <a href="/wiki/Distanca" title="Distanca">largësia</a> më e shkurtër nga vendndodhja fillestare në atë përfundimtare të një pike P që lëviz . <sup id="cite_ref-1" class="reference"><a href="#cite_note-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup> Ajo përcakton largësinë dhe drejtimin përgjatë një linje të drejtë nga pozicioni fillestar në pozicionin përfundimtar të trajektores së pikës. </p><p>Zhvendosja mund të përshkruhet gjithashtu si një <i>pozicion relativ</i> (që rezulton nga lëvizja), domethënë si pozicioni përfundimtar <i>x<sub>f</sub></i> i një pike në lidhje me pozicionin e saj fillestar <i>x<sub>i</sub></i> . Vektori përkatës i zhvendosjes mund të përcaktohet si ndryshimi midis pozicioneve përfundimtare dhe fillestare: <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 s=x_{f}-x_{i}=\Delta x}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>s</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> <mo>=</mo> <mi mathvariant="normal">Δ</mi> <mi>x</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle s=x_{f}-x_{i}=\Delta x}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f7b1606d29dcc2876199c6addba819568eb93472" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.005ex; width:17.989ex; height:2.843ex;" alt="{\displaystyle s=x_{f}-x_{i}=\Delta x}"></span> Në shqyrtimin e lëvizjet të objekteve me kalimin e kohës, <a href="/wiki/Shpejt%C3%ABsia" title="Shpejtësia">shpejtësia</a> e çastit e objektit është shpejtësia e ndryshimit të zhvendosjes në funksion të kohës. Shpejtësia e çastit dallon nga shpejtësia. Shpejtësia mund të përcaktohet në mënyrë të një njëvlershme si shpejtësia kohore e ndryshimit të vektorit të vendndodhjes. </p><p>Për lëvizjen gjatë një intervali të caktuar kohor, zhvendosja e pjestuar me gjatësinë e intervalit kohor jep <a href="/wiki/Shpejt%C3%ABsia" title="Shpejtësia">shpejtësinë mesatare</a>, e cila është një vektor, dhe kështu ndryshon nga shpejtësia mesatare, e cila është një madhësi skalare. </p> <div class="mw-heading mw-heading2"><h2 id="Zhvendosja_dhe_rruga">Zhvendosja dhe rruga</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Zhvendosja_(fizik%C3%AB)&veaction=edit&section=1" title="Redakto pjesën: Zhvendosja dhe rruga" class="mw-editsection-visualeditor"><span>Redakto</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Zhvendosja_(fizik%C3%AB)&action=edit&section=1" title="Edit section's source code: Zhvendosja dhe rruga"><span>Redakto nëpërmjet kodit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Shpeshherë ngatërrohen me njëra-tjetrën <i>zhvendosja</i> dhe <i>rruga</i>. Psh. në jetën e përditshme nëse kemi dalë nga shtëpia me biçikletë dhe më pas kthehemi përsëri në shtëpi, për të llogaritur shpejtësinë mesatare pjesëtojmë <i><b>rrugën</b></i> me <i><b>kohën</b></i> totale. Në të vërtetë sipas kuptimit fizik, në përfundim xhiros, ne <b>nuk jemi zhvendosur</b> pasi kemi mbërritur tek pika e nisjes. Kështu x<sub>2</sub>=x<sub>1</sub>, dhe fizikisht shpejtësia mesatare gjatë këtij intervali kohor është 0. </p><p><b>Rruga</b> është largësia totale që përshkon trupi gjatë lëvizjes ndërsa <b>zhvendosja</b> është largësia mes vendndodhjes fillestare dhe asaj përfundimtare. </p> <div class="mw-heading mw-heading2"><h2 id="Trup_i_ngurte">Trup i ngurte</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Zhvendosja_(fizik%C3%AB)&veaction=edit&section=2" title="Redakto pjesën: Trup i ngurte" class="mw-editsection-visualeditor"><span>Redakto</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Zhvendosja_(fizik%C3%AB)&action=edit&section=2" title="Edit section's source code: Trup i ngurte"><span>Redakto nëpërmjet kodit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Në trajtimin e lëvizjes së një trupi të ngurtë, termi <i>zhvendosje</i> mund të përfshijë gjithashtu rrotullimet e trupit. Në këtë rast, zhvendosja e një grimce të trupit quhet <b>zhvendosje lineare</b> (zhvendosje përgjatë një vije), ndërsa rrotullimi i trupit quhet <b>zhvendosje këndore</b> .  </p> <div class="mw-heading mw-heading2"><h2 id="Derivatet">Derivatet</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Zhvendosja_(fizik%C3%AB)&veaction=edit&section=3" title="Redakto pjesën: Derivatet" class="mw-editsection-visualeditor"><span>Redakto</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Zhvendosja_(fizik%C3%AB)&action=edit&section=3" title="Edit section's source code: Derivatet"><span>Redakto nëpërmjet kodit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Për një vektor pozicioni <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 {s} }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold">s</mi> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \mathbf {s} }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/644ae690160e658898a141e568a7fb0ee6040004" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.056ex; height:1.676ex;" alt="{\displaystyle \mathbf {s} }"></span> që është funksion i kohës <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>, derivatet mund të llogariten në lidhje me <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> . Dy derivatet e para hasen shpesh në fizikë. </p> <dl><dt><a href="/wiki/Shpejt%C3%ABsia" title="Shpejtësia">Shpejtësia</a></dt> <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 \mathbf {v} ={\frac {d\mathbf {s} }{\mathrm {d} t}}}"> <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">s</mi> </mrow> </mrow> <mrow> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">d</mi> </mrow> <mi>t</mi> </mrow> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \mathbf {v} ={\frac {d\mathbf {s} }{\mathrm {d} t}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/2321d89116428a6e08530dc98d36ed6baf3c92a9" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.005ex; width:7.617ex; height:5.509ex;" alt="{\displaystyle \mathbf {v} ={\frac {d\mathbf {s} }{\mathrm {d} t}}}"></span></dd> <dt><a href="/wiki/Nxitimi" title="Nxitimi">Nxitimi</a></dt> <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 \mathbf {a} ={\frac {d\mathbf {v} }{dt}}={\frac {d^{2}\mathbf {s} }{dt^{2}}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold">a</mi> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi>d</mi> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold">v</mi> </mrow> </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> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold">s</mi> </mrow> </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 \mathbf {a} ={\frac {d\mathbf {v} }{dt}}={\frac {d^{2}\mathbf {s} }{dt^{2}}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/5f90a4c424a78be9b3a3dec8f7115073a954fa6a" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.171ex; width:15.123ex; height:6.009ex;" alt="{\displaystyle \mathbf {a} ={\frac {d\mathbf {v} }{dt}}={\frac {d^{2}\mathbf {s} }{dt^{2}}}}"></span></dd> <dt>Hovi</dt> <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 \mathbf {j} ={\frac {d\mathbf {a} }{dt}}={\frac {d^{2}\mathbf {v} }{dt^{2}}}={\frac {d^{3}\mathbf {s} }{dt^{3}}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold">j</mi> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi>d</mi> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold">a</mi> </mrow> </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> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold">v</mi> </mrow> </mrow> <mrow> <mi>d</mi> <msup> <mi>t</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mrow> </mfrac> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <msup> <mi>d</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>3</mn> </mrow> </msup> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold">s</mi> </mrow> </mrow> <mrow> <mi>d</mi> <msup> <mi>t</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>3</mn> </mrow> </msup> </mrow> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \mathbf {j} ={\frac {d\mathbf {a} }{dt}}={\frac {d^{2}\mathbf {v} }{dt^{2}}}={\frac {d^{3}\mathbf {s} }{dt^{3}}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/27c69afe881c512ec9f8c1f746ffc38a6e15996b" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.171ex; margin-left: -0.164ex; width:22.311ex; height:6.009ex;" alt="{\displaystyle \mathbf {j} ={\frac {d\mathbf {a} }{dt}}={\frac {d^{2}\mathbf {v} }{dt^{2}}}={\frac {d^{3}\mathbf {s} }{dt^{3}}}}"></span></dd></dl> <p>Kështu në njehsimin diferencial, nëse kemi të dhënë ekuacionin varësisht kohës të shpejtësisë, duke e derivuar atë ne nxjerrim ekuacionin e nxitimit në çastin <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> të lëvizjes. E anasjellta është e vërtetë gjithashtu, pra integrimi i madhësive të derivuara jep madhësitë mëmë: </p><p><b>Zhvendosja</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 s=\int v(t)dt=s(t)+s_{0}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>s</mi> <mo>=</mo> <mo>∫</mo> <mi>v</mi> <mo stretchy="false">(</mo> <mi>t</mi> <mo stretchy="false">)</mo> <mi>d</mi> <mi>t</mi> <mo>=</mo> <mi>s</mi> <mo stretchy="false">(</mo> <mi>t</mi> <mo stretchy="false">)</mo> <mo>+</mo> <msub> <mi>s</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>0</mn> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle s=\int v(t)dt=s(t)+s_{0}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/40c0af3d86f90ed2c561e266b9cb75658ac6f010" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.338ex; width:24.425ex; height:5.676ex;" alt="{\displaystyle s=\int v(t)dt=s(t)+s_{0}}"></span> </p><p><b>Rruga</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 d=\int |v(t)|dt=d(t)+d_{0}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>d</mi> <mo>=</mo> <mo>∫</mo> <mrow class="MJX-TeXAtom-ORD"> <mo stretchy="false">|</mo> </mrow> <mi>v</mi> <mo stretchy="false">(</mo> <mi>t</mi> <mo stretchy="false">)</mo> <mrow class="MJX-TeXAtom-ORD"> <mo stretchy="false">|</mo> </mrow> <mi>d</mi> <mi>t</mi> <mo>=</mo> <mi>d</mi> <mo stretchy="false">(</mo> <mi>t</mi> <mo stretchy="false">)</mo> <mo>+</mo> <msub> <mi>d</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>0</mn> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle d=\int |v(t)|dt=d(t)+d_{0}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/d8e85ea9d407fb7daff13544dc95ac8f1b448aff" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.338ex; width:26.088ex; height:5.676ex;" alt="{\displaystyle d=\int |v(t)|dt=d(t)+d_{0}}"></span> </p><p><b>Shpejtësia</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=\int a(t)dt=v(t)+v_{0}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>v</mi> <mo>=</mo> <mo>∫</mo> <mi>a</mi> <mo stretchy="false">(</mo> <mi>t</mi> <mo stretchy="false">)</mo> <mi>d</mi> <mi>t</mi> <mo>=</mo> <mi>v</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> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle v=\int a(t)dt=v(t)+v_{0}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/7151cd5bb76b27b05a3daff35404c69cc6846070" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.338ex; width:24.638ex; height:5.676ex;" alt="{\displaystyle v=\int a(t)dt=v(t)+v_{0}}"></span> </p><p><b>Nxitimi</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 a=\int j(t)dt=a(t)+a_{0}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>a</mi> <mo>=</mo> <mo>∫</mo> <mi>j</mi> <mo stretchy="false">(</mo> <mi>t</mi> <mo stretchy="false">)</mo> <mi>d</mi> <mi>t</mi> <mo>=</mo> <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> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle a=\int j(t)dt=a(t)+a_{0}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/4f6b5e67057f50f097def3be06b72262b0b26a1f" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.338ex; width:24.673ex; height:5.676ex;" alt="{\displaystyle a=\int j(t)dt=a(t)+a_{0}}"></span> </p><p>Ku <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 s_{0},d_{0},v_{0},a_{0}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>s</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>0</mn> </mrow> </msub> <mo>,</mo> <msub> <mi>d</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> <mo>,</mo> <msub> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>0</mn> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle s_{0},d_{0},v_{0},a_{0}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/449e4bcad57c5109350787dd02d674a1c5c8b7d9" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:11.976ex; height:2.509ex;" alt="{\displaystyle s_{0},d_{0},v_{0},a_{0}}"></span> janë përkatësisht zhvendosja, rruga, shpejtësia dhe nxitimi fillestar/e. Ky përfundim është në përputhje me matematikën, ku në vend të konstanteve të përveçme do të kishim <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 +C}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo>+</mo> <mi>C</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle +C}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/78cff2f1a3bb529e0e2894da572c742f1d40cd56" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:3.574ex; height:2.343ex;" alt="{\displaystyle +C}"></span>. </p><p>Për të gjetur vlerat e konstanteve, duhet të dimë kushtet fillestare. </p><p>Psh. nëse kemi të dhënë ekuacionin e shpejtësisë <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)=t+\sin(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> <mi>t</mi> <mo>+</mo> <mi>sin</mi> <mo>⁡</mo> <mo stretchy="false">(</mo> <mi>t</mi> <mo stretchy="false">)</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle v(t)=t+\sin(t)}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/2905762b645ceada9a57bc30f90781bc30df7618" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:16.06ex; height:2.843ex;" alt="{\displaystyle v(t)=t+\sin(t)}"></span> , atëherë nga formula marrim : <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 s(t)={\frac {t^{2}}{2}}-\cos(t)+s_{0}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>s</mi> <mo stretchy="false">(</mo> <mi>t</mi> <mo stretchy="false">)</mo> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <msup> <mi>t</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mn>2</mn> </mfrac> </mrow> <mo>−</mo> <mi>cos</mi> <mo>⁡</mo> <mo stretchy="false">(</mo> <mi>t</mi> <mo stretchy="false">)</mo> <mo>+</mo> <msub> <mi>s</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>0</mn> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle s(t)={\frac {t^{2}}{2}}-\cos(t)+s_{0}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/45faac055f643c8b06bba19679c1710ae74a7342" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:23.153ex; height:5.676ex;" alt="{\displaystyle s(t)={\frac {t^{2}}{2}}-\cos(t)+s_{0}}"></span>. Nëse kemi një kusht fillestar të tipit <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 s(\pi )=-1}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>s</mi> <mo stretchy="false">(</mo> <mi>π</mi> <mo stretchy="false">)</mo> <mo>=</mo> <mo>−</mo> <mn>1</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle s(\pi )=-1}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/efa7084a1a64ce06213142fcbe87d755ae3f4958" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:10.301ex; height:2.843ex;" alt="{\displaystyle s(\pi )=-1}"></span> atëherë zëvendësojmë <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=\pi }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>t</mi> <mo>=</mo> <mi>π</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle t=\pi }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b5df6437023aae24e4a754d3c6ad97eaa0efa4f0" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:5.27ex; height:2.009ex;" alt="{\displaystyle t=\pi }"></span>, për të marrë <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 s(\pi )={\frac {\pi ^{2}}{2}}-\cos(\pi )+s_{0}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>s</mi> <mo stretchy="false">(</mo> <mi>π</mi> <mo stretchy="false">)</mo> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <msup> <mi>π</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mn>2</mn> </mfrac> </mrow> <mo>−</mo> <mi>cos</mi> <mo>⁡</mo> <mo stretchy="false">(</mo> <mi>π</mi> <mo stretchy="false">)</mo> <mo>+</mo> <msub> <mi>s</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>0</mn> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle s(\pi )={\frac {\pi ^{2}}{2}}-\cos(\pi )+s_{0}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/25b4d07840f3a06a26fa556e6e4ad5d33ebc6e73" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:24.633ex; height:5.676ex;" alt="{\displaystyle s(\pi )={\frac {\pi ^{2}}{2}}-\cos(\pi )+s_{0}}"></span> dhe zgjidhim ekuacionin e fuqisë së parë në lidhje me <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 s_{0}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>s</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>0</mn> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle s_{0}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/25c32f35eb134d23b3c45f1c878d59b0a112ede4" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:2.145ex; height:2.009ex;" alt="{\displaystyle s_{0}}"></span>. </p> <ol class="references"> <li id="cite_note-1"><a href="#cite_ref-1">^</a> <span class="reference-text"><style data-mw-deduplicate="TemplateStyles:r2706204">.mw-parser-output cite.citation{font-style:inherit;word-wrap:break-word}.mw-parser-output .citation q{quotes:"\"""\"""'""'"}.mw-parser-output .citation:target{background-color:rgba(0,127,255,0.133)}.mw-parser-output .id-lock-free a,.mw-parser-output .citation .cs1-lock-free a{background:url("//upload.wikimedia.org/wikipedia/commons/6/65/Lock-green.svg")right 0.1em center/9px no-repeat}.mw-parser-output .id-lock-limited a,.mw-parser-output .id-lock-registration a,.mw-parser-output .citation .cs1-lock-limited a,.mw-parser-output .citation .cs1-lock-registration a{background:url("//upload.wikimedia.org/wikipedia/commons/d/d6/Lock-gray-alt-2.svg")right 0.1em center/9px no-repeat}.mw-parser-output .id-lock-subscription a,.mw-parser-output .citation .cs1-lock-subscription a{background:url("//upload.wikimedia.org/wikipedia/commons/a/aa/Lock-red-alt-2.svg")right 0.1em center/9px no-repeat}.mw-parser-output .cs1-ws-icon a{background:url("//upload.wikimedia.org/wikipedia/commons/4/4c/Wikisource-logo.svg")right 0.1em center/12px no-repeat}.mw-parser-output .cs1-code{color:inherit;background:inherit;border:none;padding:inherit}.mw-parser-output .cs1-hidden-error{display:none;color:var(--color-error,#d33)}.mw-parser-output .cs1-visible-error{color:var(--color-error,#d33)}.mw-parser-output .cs1-maint{display:none;color:#3a3;margin-left:0.3em}.mw-parser-output .cs1-format{font-size:95%}.mw-parser-output .cs1-kern-left{padding-left:0.2em}.mw-parser-output .cs1-kern-right{padding-right:0.2em}.mw-parser-output .citation .mw-selflink{font-weight:inherit}</style><cite id="CITEREFTom_Henderson" class="citation web cs1">Tom Henderson. <a rel="nofollow" class="external text" href="http://www.physicsclassroom.com/Class/1DKin/U1L1c.cfm">"Describing Motion with Words"</a>. <i>The Physics Classroom</i><span class="reference-accessdate">. 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