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<!DOCTYPE html><html lang="en"><head><meta charSet="utf-8"/><meta name="viewport" content="width=device-width"/><meta name="description" content="Solution for Suppose the position vector for a particle is given as a function of time by r(t)=x(t)i^+y(t)j^, with x(t)=at+b and y(t)=ct2+d, where…"/><link rel="canonical" href="https://www.bartleby.com/questions-and-answers/suppose-the-position-vector-for-a-particle-is-given-as-a-function-of-time-byrtxtiytj-withxtatbandytc/8f5c53ee-43d7-4667-8d9e-0538ca692878"/><title>Answered: Suppose the position vector for a… | bartleby</title><script type="application/ld+json">{ "@context": "https://schema.org", "@type": [ "QAPage", "WebPage" ], "mainEntityOfPage": { "@type": "WebPage", "@id": "https://www.bartleby.com/questions-and-answers/suppose-the-position-vector-for-a-particle-is-given-as-a-function-of-time-byrtxtiytj-withxtatbandytc/8f5c53ee-43d7-4667-8d9e-0538ca692878" }, "name": "Suppose the position vector for a particle is given as a function of time by r(t)=x(t)i^+y(t)j^, with x(t)=at+b and y(t)=ct2+d, where a=1.00m/s,b=1.00m,c=0.125m/s2, and d=1.00m. (a) Calculate the average velocity during the time interval from t=2.00s to t=4.00s. (b) Determine the velocity and the speed at t=2.00s", "description": "Suppose the position vector for a particle is given as a function of time by r(t)=x(t)i^+y(t)j^, with x(t)=at+b and y(t)=ct2+d, where a=1.00m/s,b=1.00m,c=0.125m/s2, and d=1.00m. (a) Calculate the average velocity during the time interval from t=2.00s to t=4.00s. (b) Determine the velocity and the speed at t=2.00s", "inLanguage": "en", "headline": "Suppose the position vector for a particle is given as a function of time by r(t)=x(t)i^+y(t)j^, with x(t)=at+b and y(t)=ct2+d, where a=1.00m/s,b=1.00m,c=0.125m/s2, and d=1.00m. (a) Calculate the average velocity during the time interval from t=2.00s to t=4.00s. (b) Determine the velocity and the speed at t=2.00s", "datePublished": "2021-04-12", "dateModified": "2021-04-12", "isAccessibleForFree": "False", "hasPart": { "@type": "WebPageElement", "isAccessibleForFree": "False", "cssSelector": ".paywall" }, "mainEntity": { "@type": "Question", "name": "Suppose the position vector for a particle is given as a function of time by r(t)=x(t)i^+y(t)j^, with x(t)=at+b and y(t)=ct2+d, where a=1.00m/s,b=1.00m,c=0.125m/s2, and d=1.00m. (a) Calculate the average velocity during the time interval from t=2.00s to t=4.00s. (b) Determine the velocity and the speed at t=2.00s", "text": "Suppose the position vector for a particle is given as a function of time by r(t)=x(t)i^+y(t)j^, with x(t)=at+b and y(t)=ct2+d, where a=1.00m/s,b=1.00m,c=0.125m/s2, and d=1.00m. (a) Calculate the average velocity during the time interval from t=2.00s to t=4.00s. (b) Determine the velocity and the speed at t=2.00s", "answerCount": 1, "dateCreated": "2021-04-12", "acceptedAnswer": { "@type": "Answer", "text": "Given-\n a=1.00m/s,\nb=1.00m,\nc=0.125m/s2\nd=1.00m." }, "url": "https://www.bartleby.com/questions-and-answers/suppose-the-position-vector-for-a-particle-is-given-as-a-function-of-time-byrtxtiytj-withxtatbandytc/8f5c53ee-43d7-4667-8d9e-0538ca692878" } }</script><script type="application/ld+json">{ "@context": "http://schema.org/", "@type": "VideoObject", "name": "Suppose the position vector for a particle is given as a function of t", "description": "Suppose the position vector for a particle is given as a function of time by r(t)=x(t)i^+y(t)j^, with x(t)=at+b and y(t)=ct2+d, where a=1.00m/s,b=1.00m,c=0.125m/s2, and d=1.00m. 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(a) Calculate the average velocity during the time interval from t=2.00s to t=4.00s. (b) Determine the velocity and the speed at t=2.00s</div></div></div></header></section><main id="AppLayout-Scrollable-Main-Container-ID" class="flex-1 overflow-x-hidden overflow-y-auto relative"><div><div id="QNA-PAGE-CONTENT" class="flex-col items-center bg-page px-8px md:px-16px mdl:px-32px mdl:pb-32px"><div id="QNA-PAGE-TOP-CONTENT" class="flex flex-1 w-full pt-12px bg-page mdl:pt-24px"><div id="QNA-PAGE-BREADCRUMB" class="flex flex-col flex-1 w-full max-w-1188px m-auto"><div id="QNA-PAGE-BREADCRUMB" class="flex flex-col flex-1 w-full m-auto font-sans"><div id="BREADCRUMB-ID" class="flex flex-row flex-initial items-center w-full m-auto font-sans text-blue-600 text-14px"><div class="flex flex-row flex-initial items-center shrink-0"><a href="/subject/science" class="flex-1 cursor-pointer underline" tabindex="0">Science</a><svg stroke="currentColor" fill="currentColor" stroke-width="0" viewBox="0 0 24 24" class="flex-initial text-grey-200 w-24px" height="1em" width="1em" xmlns="http://www.w3.org/2000/svg"><path fill="none" d="M0 0h24v24H0z"></path><path d="M6.41 6L5 7.41 9.58 12 5 16.59 6.41 18l6-6z"></path><path d="M13 6l-1.41 1.41L16.17 12l-4.58 4.59L13 18l6-6z"></path></svg></div><div class="flex flex-row flex-initial items-center shrink-0"><a href="/subject/science/physics" class="flex-1 cursor-pointer underline" tabindex="0">Physics</a><svg stroke="currentColor" fill="currentColor" stroke-width="0" viewBox="0 0 24 24" class="flex-initial text-grey-200 w-24px" height="1em" width="1em" xmlns="http://www.w3.org/2000/svg"><path fill="none" d="M0 0h24v24H0z"></path><path d="M6.41 6L5 7.41 9.58 12 5 16.59 6.41 18l6-6z"></path><path d="M13 6l-1.41 1.41L16.17 12l-4.58 4.59L13 18l6-6z"></path></svg></div><span class="flex-initial text-grey-500 whitespace-nowrap text-ellipsis overflow-hidden">Suppose the position vector for a particle is given as a function of time by r(t)=x(t)i^+y(t)j^, with x(t)=at+b and y(t)=ct2+d, where a=1.00m/s,b=1.00m,c=0.125m/s2, and d=1.00m. (a) Calculate the average velocity during the time interval from t=2.00s to t=4.00s. (b) Determine the velocity and the speed at t=2.00s</span></div><h1 id="QNA-PAGE-H1" class="mt-16px text-24px leading-32px whitespace-nowrap overflow-hidden text-darkBlue-900 bg-page font-semibold text-ellipsis pb-16px">Suppose the position vector for a particle is given as a function of time by r(t)=x(t)i^+y(t)j^, with x(t)=at+b and y(t)=ct2+d, where a=1.00m/s,b=1.00m,c=0.125m/s2, and d=1.00m. (a) Calculate the average velocity during the time interval from t=2.00s to t=4.00s. (b) Determine the velocity and the speed at t=2.00s</h1></div></div></div><div id="qa_ad_top" class="sm:h-[90px] sm:min-h-[90px] sm:min-w-[728px] sm:max-w-[970px] m-auto h-[50px] min-h-[50px] min-w-[300px] max-w-[320px]"></div><div id="QNA-PAGE-MAIN-CONTENT" class="flexColReverse w-full max-w-1188px py-24px flex-grow-0 mx-auto bg-page lg:flex-row md:py-32px"><div id="QNA-PAGE-MIDDLE-LEFT-RAIL" class="flexCol flex-initial mt-24px overflow-visible lg:w-[318px] lg:mr-32px lg:mt-0px"><div id="TEXTBOOK-MODULE-ID" class="flex-initial flex-col items-center justify-center w-full p-24px rounded-lg border-[1px] border-grey100 bg-white lg:w-[318px] overflow-hidden"><div class="flexRow overflow-hidden w-full "><div class="flexCol flex-initial justify-start items-center p-2px"><a href="https://amzn.to/4791Ipj" target="_blank" rel="noopener noreferrer" class="flex-initial" tabindex="0"><img width="100%" height="68px" class="object-cover rounded-lg h-68px w-auto m-auto" src="https://www.bartleby.com/isbn_cover_images/9781305952300/9781305952300_smallCoverImage.gif" alt="College Physics" decoding="async" loading="lazy"/><button class="secondaryGhost-button flex-initial h-34px mt-8px">BUY</button></a></div><div class="flex-col w-full flex-wrap text-ellipsis overflow-hidden p-2px ml-5px"><a href="/textbooks/college-physics-11th-edition/9781305952300/solutions" target="_blank" rel="noopener noreferrer" class="flex-initial w-full text-darkBlue-900 font-semibold text-16px leading-16px text-ellipsis overflow-hidden whitespace-nowrap" tabindex="0">College Physics</a><div class="flex-initial w-full text-14px text-grey-500 text-ellipsis overflow-hidden pt-0x">11th Edition</div><div class="flex-initial w-full text-ellipsis overflow-hidden"><span class="text-14px leading-5 text-grey-900 font-semibold">ISBN:</span><span class="text-14px leading-5 text-grey-900 font-normal ml-4px">9781305952300</span></div><div class="flex-initial w-full text-ellipsis overflow-hidden"><span class="text-14px leading-5 text-grey-900 font-semibold">Author:</span><span class="text-14px leading-5 text-grey-900 font-semibold ml-4px">Raymond A. Serway, Chris Vuille</span></div><div class="flex-initial w-full text-ellipsis overflow-hidden"><span class="text-14px leading-5 text-grey-900 font-semibold">Publisher:</span><span class="text-14px leading-5 text-grey-900 font-normal ml-4px">Raymond A. Serway, Chris Vuille</span></div></div></div><div class="flexCol w-full mt-24px"><div class="flex-initial flexRow w-full"><div class="flex-1"><div class="relative w-full overflow-hidden"><select class="relative text-grey-900 text-14px leading-20px font-semibold w-full h-48px pr-100px pl-16px text-ellipsis appearance-none bg-white rounded border-[1px] border-grey300" aria-label="problem list"><option value="0" selected="">1 Units, Trigonometry. And Vectors</option><option value="1">2 Motion In One Dimension</option><option value="2">3 Motion In Two Dimensions</option><option value="3">4 Newton's Laws Of Motion</option><option value="4">5 Energy</option><option value="5">6 Momentum, Impulse, And Collisions</option><option value="6">7 Rotational Motion And Gravitation</option><option value="7">8 Rotational Equilibrium And Dynamics</option><option value="8">9 Fluids And Solids</option><option value="9">10 Thermal Physics</option><option value="10">11 Energy In Thermal Processes</option><option value="11">12 The Laws Of Thermodynamics</option><option value="12">13 Vibrations And Waves</option><option value="13">14 Sound</option><option value="14">15 Electric Forces And Fields</option><option value="15">16 Electrical Energy And Capacitance</option><option value="16">17 Current And Resistance</option><option value="17">18 Direct-Current Circuits</option><option value="18">19 Magnetism</option><option value="19">20 Induced Voltages And Inductance</option><option value="20">21 Alternating-Current Circuits And Electromagnetic Waves</option><option value="21">22 Reflection And Refraction Of Light</option><option value="22">23 Mirrors And Lenses</option><option value="23">24 Wave Optics</option><option value="24">25 Optical Instruments</option><option value="25">26 Relativity</option><option value="26">27 Quantum Physics</option><option value="27">28 Atomic Physics</option><option value="28">29 Nuclear Physics</option><option value="29">30 Nuclear Energy And Elementary Particles</option></select><div style="width:-56px" class="absolute left-16px top-12px pr-8px pointer-events-none bg-white text-ellipsis overflow-hidden whitespace-nowrap"><span class="text-grey-900 text-14px leading-20px font-semibold">Chapter1: </span><span class="text-grey-900 text-14px leading-20px">Units, Trigonometry. And Vectors</span></div><div class="absolute text-blue-600 top-12px right-12px pointer-events-none "><svg stroke="currentColor" fill="currentColor" stroke-width="0" viewBox="0 0 24 24" style="width:24px;height:24px" height="1em" width="1em" xmlns="http://www.w3.org/2000/svg"><path fill="none" d="M0 0h24v24H0z"></path><path d="M16.59 8.59L12 13.17 7.41 8.59 6 10l6 6 6-6z"></path></svg></div></div></div><div class="flex-initial w-16px"></div><div class="flex-1"><div class="relative w-full overflow-hidden"><select class="relative text-grey-900 text-14px leading-20px font-semibold w-full h-48px pr-100px pl-16px text-ellipsis appearance-none bg-white rounded border-[1px] border-grey300" aria-label="problem list"><option value="0-0">1.1 Standards Of Length, Mass, And Time</option><option value="0-1">1.2 The Building Blocks Of Matter</option><option value="0-2">1.3 Dimensional Analysis</option><option value="0-3">1.4 Uncertainty In Measurement And Significant Figures</option><option value="0-4">1.5 Unit Conversions For Physical Quantities</option><option value="0-5">1.6 Estimates And Order-of-Magnitude Calculations</option><option value="0-6">1.7 Coordinate Systems</option><option value="0-7">1.8 Trigonometry Review</option><option value="0-8">1.9 Vectors</option><option value="0-9">1.10 Cornoonentsofavector</option><option value="0-10">1.11 Problem-Solving Strategy</option><option value="0-11" selected="">Chapter Questions</option></select><div style="width:-56px" class="absolute left-16px top-12px pr-8px pointer-events-none bg-white text-ellipsis overflow-hidden whitespace-nowrap"><span class="text-grey-900 text-14px leading-20px font-semibold">Section: </span><span class="text-grey-900 text-14px leading-20px">Chapter Questions</span></div><div class="absolute text-blue-600 top-12px right-12px pointer-events-none "><svg stroke="currentColor" fill="currentColor" stroke-width="0" viewBox="0 0 24 24" style="width:24px;height:24px" height="1em" width="1em" xmlns="http://www.w3.org/2000/svg"><path fill="none" d="M0 0h24v24H0z"></path><path d="M16.59 8.59L12 13.17 7.41 8.59 6 10l6 6 6-6z"></path></svg></div></div></div></div><div class="flex-initial flexRow w-full mt-16px"><div class="relative w-full overflow-hidden"><select class="relative text-grey-900 text-14px leading-20px font-semibold w-full h-48px pr-100px pl-16px text-ellipsis appearance-none bg-white rounded border-[1px] border-grey300" aria-label="problem list"><option value="0" selected="">Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...</option><option value="1">Problem 2CQ: What types of natural phenomena could serve as time standards?</option><option value="2">Problem 3CQ: Find the order of magnitude of your age in seconds.</option><option value="3">Problem 4CQ: An object with a mass of 1 kg weighs approximately 2 lb. Use this information to estimate the mass...</option><option value="4">Problem 5CQ: (a) Estimate the number of times your heart beats in a month, (b) Estimate the number of human...</option><option value="5">Problem 6CQ: Estimate the number of atoms in 1 cm5 of a solid. (Note that the diameter of an atom is about 1010...</option><option value="6">Problem 7CQ: Lacking modern timepieces, early experimenters some-times measured time intervals with their pulse....</option><option value="7">Problem 8CQ </option><option value="8">Problem 9CQ </option><option value="9">Problem 10CQ: List some advantages of the metric system of units over most other systems of units.</option><option value="10">Problem 11CQ: Estimate the time duration of each of the following in the suggested units in parentheses: (a) a...</option><option value="11">Problem 12CQ: Suppose two quantities, A and B, have different dimensions. Determine which of the following...</option><option value="12">Problem 13CQ: Answer each question yes or no. Must two quantities have the same dimensions (a) if you are adding...</option><option value="13">Problem 14CQ: Two different measuring devices are used by students to measure the length of a metal rod. Students...</option><option value="14">Problem 15CQ: If B is added to A, under what conditions does the resultant vector have a magnitude equal to A + B?...</option><option value="15">Problem 16CQ: Under what circumstances would a vector have components that are equal in magnitude?</option><option value="16">Problem 1P: The period of a simple pendulum, defined as the time necessary for one complete oscillation, is...</option><option value="17">Problem 2P: (a) Suppose the displacement of an object is related to time according to the expression x = Bt2....</option><option value="18">Problem 3P: A shape that covers an area A and has a uniform height h has a volume V = Ah. (a) Show that V = Ah...</option><option value="19">Problem 4P: Each of the following equations was given by a student during an examination: (a) 12mv2=12mv02+mgh...</option><option value="20">Problem 5P </option><option value="21">Problem 6P: Kinetic energy KE (Topic 5) has dimensions kg m2/s2. It can be written in terms of the momentum p...</option><option value="22">Problem 7P: A rectangular airstrip measures 32.30 in by 210 m, with the width measured more accurately than the...</option><option value="23">Problem 8P: Use the rules for significant figures to find the answer to the addition problem 21.4 + 15 + 17.17 +...</option><option value="24">Problem 9P: A carpet is to be installed in a room of length 9.72 m and width 5.3 m. Find the area of the mom...</option><option value="25">Problem 10P </option><option value="26">Problem 11P: How many significant figures are there in (a) 78.9 0.2, (b) 3.788 109, (c) 2.46 1026, (d) 0.003 2</option><option value="27">Problem 12P: The speed of light is now defined to be 2.997 924 58 108 m/s. Express the speed of light to (a)...</option><option value="28">Problem 13P: A rectangle has a length of (2.0 0.2) m and a width of (1.5 0.1) m. Calculate (a) the area and (b)...</option><option value="29">Problem 14P: The radius of a circle is measured to be (10.5 0.2) m. Calculate (a) the area and (b) the...</option><option value="30">Problem 15P: The edges of a shoebox are measured to be 11.4 cm, 17.8 cm, and 29 cm. Determine the volume of the...</option><option value="31">Problem 16P: Carry out the following arithmetic operations: (a) the sum of the measured values 756, 37.2, 0.83,...</option><option value="32">Problem 17P: The Roman cubitus is an ancient unit of measure equivalent to about 0.445 m. Convert the 2.00m...</option><option value="33">Problem 18P: A house is advertised as having 1 420 square feet under roof. What is the area of this house in...</option><option value="34">Problem 19P: A fathom is a unit of length, usually reserved for measuring the depth of water. A fathom is...</option><option value="35">Problem 20P: A small turtle moves at a speed of 186 furlongs per fortnight. Find the speed of the turtle in...</option><option value="36">Problem 21P: A firkin is an old British unit of volume equal to 9 gallons. How many cubic meters are there in...</option><option value="37">Problem 22P: Find the height or length of these natural wonders in kilometers, meters, and centimeters: (a) The...</option><option value="38">Problem 23P: A car is traveling at a speed of 38.0 m/s on an interstate high-way where the speed limit is 75.0...</option><option value="39">Problem 24P: A certain car has a fuel efficiency of 25.0 miles per gallon (mi/gal). Express this efficiency in...</option><option value="40">Problem 25P: The diameter of a sphere is measured to be 5.36 in. Find (a) the radius of the sphere in...</option><option value="41">Problem 26P: Suppose your hair grows at the rate of 1/32 inch per day. Find the rate at which it grows in...</option><option value="42">Problem 27P: The speed of light is about 3.00 108 m/s. Convert this figure to miles per hour.</option><option value="43">Problem 28P: A house is 50.0 ft long and 26 ft wide and has 8.0-ft-high ceilings. What is the volume of the...</option><option value="44">Problem 29P: The amount of water in reservoirs is often measured in acre-ft. One acre-ft is a volume that covers...</option><option value="45">Problem 30P: The base of a pyramid covers an area of 13.0 acres (1 acre = 43 560 ft2) and has a height of 481 ft...</option><option value="46">Problem 31P: A quart container of ice cream is to be made in the form of a cube. What should be the length of a...</option><option value="47">Problem 32P: Estimate the number of steps you would have to take to walk a distance equal to the circumference of...</option><option value="48">Problem 33P: Estimate the number of breaths taken by a human being during an average lifetime.</option><option value="49">Problem 34P: Estimate the number of people in the world who are suffering from the common cold on any given day....</option><option value="50">Problem 35P: The habitable part of Earths surface has been estimated to cover 60 trillion square meters. Estimate...</option><option value="51">Problem 36P: Treat a cell in a human as a sphere of radius 1.0 m. (a) Determine the volume of a cell. (b)...</option><option value="52">Problem 37P: An automobile tire is rated to last for 50 000 miles. Estimate the number of revolutions the tire...</option><option value="53">Problem 38P: A study from the National Institutes of Health stales that the human body contains trillions of...</option><option value="54">Problem 39P: A point is located in a polar coordinate system by the coordinates r = 2.5 m and = 35. Find the x-...</option><option value="55">Problem 40P: A certain corner of a room is selected as the origin of a rectangular coordinate system. If a fly is...</option><option value="56">Problem 41P: Express the location of the fly in Problem 40 in polar coordinates.</option><option value="57">Problem 42P: Two points in a rectangular coordinate system have the coordinates (5.0, 3.0) and (3.0, 4.0), where...</option><option value="58">Problem 43P: Two points are given in polar coordinates by (r, ) = (2.00 m, 50.0) and (r, ) = (5.00 m, 50.0),...</option><option value="59">Problem 44P: Given points (r1, 1) and (r2, 2) in polar coordinates, obtain a general formula for the distance...</option><option value="60">Problem 45P: For the triangle shown in Figure P1.45, what are (a) the length of the unknown side, (b) the tangent...</option><option value="61">Problem 46P: A ladder 9.00 m long leans against the side of a building. If the ladder is inclined at an angle of...</option><option value="62">Problem 47P: A high fountain of water is located at the center of a circular pool as shown in Figure P1.47. Not...</option><option value="63">Problem 48P: A right triangle has a hypotenuse of length 3.00 m, and one of its angles is 30.0. What are the...</option><option value="64">Problem 49P: In Figure P1.49, find (a) the side opposite , (b) the side adjacent to . (c) cos , (d) sin , and (c)...</option><option value="65">Problem 50P: In a certain right triangle, the two sides that are perpendicular to each other are 5.00 m and 7.00...</option><option value="66">Problem 51P: In Problem 50, what is the tangent of the angle for which 5.00 in is the opposite side?</option><option value="67">Problem 52P: A woman measures the angle of elevation of a mountaintop as 12.0. After walking 1.00 km closer to...</option><option value="68">Problem 53P: A surveyor measures the distance across a straight river by the following method: starting directly...</option><option value="69">Problem 54P: Vector A has a magnitude of 8.00 units and makes an angle of 45.0 with the positive x-axis. Vector B...</option><option value="70">Problem 55P: Vector A has a magnitude of 29 units and points in the positive y-direction. When vector B is added...</option><option value="71">Problem 56P: An airplane flies 2.00 102 km due west from city A to city B and then 3.00 102 km in the direction...</option><option value="72">Problem 57P: Vector A is 3.00 units in length and points along the positive x-axis. Vector B is 4.00 units in...</option><option value="73">Problem 58P: A force F1, of magnitude 6.00 units acts on an object at the origin in a direction = 30.0 above the...</option><option value="74">Problem 59P: A roller coaster moves 2.00 102 ft horizontally and then rises 135 ft at an angle of 30.0 above the...</option><option value="75">Problem 60P: Calculate (a) the x-component and (b) the y-component of the vector with magnitude 24.0 m and...</option><option value="76">Problem 61P: A vector A has components Ax = 5.00 m and Ay = 9.00 m. Find (a) the magnitude and (b) the direction...</option><option value="77">Problem 62P: A person walks 25.0 north of east for 3.10 km. How far due north and how far due east would she have...</option><option value="78">Problem 63P: The magnitude of vector A is 35.0 units and points in the direction 325 counterclockwise from the...</option><option value="79">Problem 64P: A figure skater glides along a circular path of radius 5.00 m. If she coasts around one half of the...</option><option value="80">Problem 65P: A girl delivering newspapers covers her route by traveling 3.00 blocks west, 4.00 blocks north, and...</option><option value="81">Problem 66P: A quarterback takes the ball from the line of scrimmage, runs backwards for 10.0 yards, and then...</option><option value="82">Problem 67P: A vector has an x-component of 25.0 units and a y-component of 40.0 units. Find the magnitude and...</option><option value="83">Problem 68P: A map suggests that Atlanta is 730. miles in a direction 5.00 north of east from Dallas. The same...</option><option value="84">Problem 69P: The eye of a hurricane passes over Grand Bahama Island in a direction 60.0 north of west with a...</option><option value="85">Problem 70P: The helicopter view in Figure P1.70 shows two people pulling on a stubborn mule. Find (a) the single...</option><option value="86">Problem 71P: A commuter airplane starts from an airport and takes the route shown in Figure P1.71. The plane...</option><option value="87">Problem 72AP: (a) Find a conversion factor to convert from miles per hour to kilometers per hour. (b) For a while,...</option><option value="88">Problem 73AP: The displacement of an object moving under uniform acceleration is some function of time and the...</option><option value="89">Problem 74AP: Assume it takes 7.00 minutes to fill a 30.0-gal gasoline tank. (a) Calculate the rate at which the...</option><option value="90">Problem 75AP: One gallon of paint (volume = 3.79 103 m3) covers an area of 25.0 m2. What is the thickness of the...</option><option value="91">Problem 76AP: A sphere of radius r has surface area A = 4r2 and volume V = (4/3)r3. If the radius of sphere 2 is...</option><option value="92">Problem 77AP: Assume there are 100 million passenger can in the United States and that the average fuel...</option><option value="93">Problem 78AP </option><option value="94">Problem 80AP: An average person sneezes about three times per day. Estimate the worldwide number of sneezes...</option><option value="95">Problem 81AP: The nearest neutron star (a collated star made primarily of neutrons) is about 3.00 1018 m away...</option></select><div style="width:-56px" class="absolute left-16px top-12px pr-8px pointer-events-none bg-white text-ellipsis overflow-hidden whitespace-nowrap"><span class="text-grey-900 text-14px leading-20px font-semibold">Problem 1CQ: </span><span class="text-grey-900 text-14px leading-20px">Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...</span></div><div class="absolute text-blue-600 top-12px right-12px pointer-events-none "><svg stroke="currentColor" fill="currentColor" stroke-width="0" viewBox="0 0 24 24" style="width:24px;height:24px" height="1em" width="1em" xmlns="http://www.w3.org/2000/svg"><path fill="none" d="M0 0h24v24H0V0z"></path><path d="M4 10.5c-.83 0-1.5.67-1.5 1.5s.67 1.5 1.5 1.5 1.5-.67 1.5-1.5-.67-1.5-1.5-1.5zm0-6c-.83 0-1.5.67-1.5 1.5S3.17 7.5 4 7.5 5.5 6.83 5.5 6 4.83 4.5 4 4.5zm0 12c-.83 0-1.5.68-1.5 1.5s.68 1.5 1.5 1.5 1.5-.68 1.5-1.5-.67-1.5-1.5-1.5zM7 19h14v-2H7v2zm0-6h14v-2H7v2zm0-8v2h14V5H7z"></path></svg></div></div></div></div><div class="flex-initial flex-row text-end w-full mt-16px"><a href="/subject/science/physics/textbook-answers" class="standalone-link flex-initial" tabindex="0">See similar textbooks</a></div><div><div class="flexRow flex-initial items-center w-full pt-24px mt-24px border-t-[1px] border-athensGray2 "><div class="flex-initial flex w-24px h-24px rounded-full mr-16px " style="background-color:#D8199E"><img width="12px" height="14px" class="flex-initial justify-center items-center m-auto" src="/static/compass_v2/leftrail/relatedQuestions.svg" alt="icon" loading="lazy" decoding="async"/></div><div class="text-16px leading-24px text-darkBlue-900 font-semibold">Related questions</div><button aria-label="open related questions" aria-controls="related-question-panel" 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A particle initially located at the origin has a constant acceleration of a = 3.00j m/s and an…</p><p class="flex-1 m-0 text-shark text-14px leading-20px -tracking-0.1px w-[100%] break-words line-clamp-2">A: Given data The magnitude of the constant acceleration is a = 3 j m/s2 The initial velocity of the…</p></div></a><a href="/questions-and-answers/the-acceleration-of-a-particle-moving-only-on-a-horizontal-xy-plane-is-given-by-a-2ti-3t-where-a-is-/6323b717-25e7-4c51-9d84-a3ef975392e1" class="flex-1 w-full no-underline mx-2px mt-2px mb-24px" tabindex="0"><div class="w-full lg:max-w-[255px]"><p class="text-grey-500 flex-1 m-0 text-16px font-semibold leading-24px -tracking-0.1px pb-6px w-[100%] break-words line-clamp-2">Q: The acceleration of a particle moving only on a horizontal xy plane is given by a = 2tî + 3t), where…</p><p class="flex-1 m-0 text-shark text-14px leading-20px -tracking-0.1px w-[100%] break-words line-clamp-2">A: </p></div></a><a href="/questions-and-answers/a-particle-leaves-the-origin-with-an-initial-velocity-of-2.40-ms-x-and-moves-with-constant-accelerat/63360b41-72a9-4eb3-b47c-b4ea0b64be45" class="flex-1 w-full no-underline mx-2px mt-2px mb-24px" tabindex="0"><div class="w-full lg:max-w-[255px]"><p class="text-grey-500 flex-1 m-0 text-16px font-semibold leading-24px -tracking-0.1px pb-6px w-[100%] break-words line-clamp-2">Q: A particle leaves the origin with an initial velocity of ( 2.40 m/s ) x^ , and moves with constant…</p><p class="flex-1 m-0 text-shark text-14px leading-20px -tracking-0.1px w-[100%] break-words line-clamp-2">A: </p></div></a><a href="/questions-and-answers/particle-is-moving-on-a-straight-line-and-where-velocity-varies-with-its-displacement-as-v-v44s.-fin/63c42faf-4f4a-4aa8-9e49-49b72ccb1063" class="flex-1 w-full no-underline mx-2px mt-2px mb-24px" tabindex="0"><div class="w-full lg:max-w-[255px]"><p class="text-grey-500 flex-1 m-0 text-16px font-semibold leading-24px -tracking-0.1px pb-6px w-[100%] break-words line-clamp-2">Q: Particle is moving on a straight line and where velocity varies with its displacement as v = V4+4s.…</p><p class="flex-1 m-0 text-shark text-14px leading-20px -tracking-0.1px w-[100%] break-words line-clamp-2">A: Particle is moving on a straight line and velocity varies with time as v=4+4s</p></div></a><a href="/questions-and-answers/the-position-of-a-particle-moving-along-thexaxis-is-given-byxt-4.99m-3.83mst.-what-is-the-displaceme/6cf5c546-934c-484c-aada-b6cba2ae665a" class="flex-1 w-full no-underline mx-2px mt-2px mb-24px" tabindex="0"><div class="w-full lg:max-w-[255px]"><p class="text-grey-500 flex-1 m-0 text-16px font-semibold leading-24px -tracking-0.1px pb-6px w-[100%] break-words line-clamp-2">Q: The position of a particle moving along the x axis is given by x(t) = (4.99 m) - (3.83 m/s)t. What…</p><p class="flex-1 m-0 text-shark text-14px leading-20px -tracking-0.1px w-[100%] break-words line-clamp-2">A: Let us calculate the positions of a given particle at different intervals, as shown below. x(t) at…</p></div></a><a href="/questions-and-answers/the-position-of-a-particle-moving-along-the-x-axis-is-given-by-st5.8-m-3.06-mst.-what-ist-he-displac/719b8c44-0b76-4cfd-b386-29c901416ab3" class="flex-1 w-full no-underline mx-2px mt-2px mb-24px" tabindex="0"><div class="w-full lg:max-w-[255px]"><p class="text-grey-500 flex-1 m-0 text-16px font-semibold leading-24px -tracking-0.1px pb-6px w-[100%] break-words line-clamp-2">Q: The position of a particle moving along the x-axis is given by s(t)=(5.8 m) -(3.06 m/s)t. What ist…</p><p class="flex-1 m-0 text-shark text-14px leading-20px -tracking-0.1px w-[100%] break-words line-clamp-2">A: Given data: Position of particle s(t)=(5.8 m) -(3.06 m/s)t Required: The displacement of the…</p></div></a><a href="/questions-and-answers/a-particle-moves-along-with-acceleration-a-3-ms2-along-x-axis-and-has-a-velocity-v-1-ms-at-time-t-0./72babc5f-38b3-432f-9baf-232cbdb5c660" class="flex-1 w-full no-underline mx-2px mt-2px mb-24px" tabindex="0"><div class="w-full lg:max-w-[255px]"><p class="text-grey-500 flex-1 m-0 text-16px font-semibold leading-24px -tracking-0.1px pb-6px w-[100%] break-words line-clamp-2">Q: A particle moves along with acceleration a = 3 m/s^2 along x – axis and has a velocity v = -1 m/s at…</p><p class="flex-1 m-0 text-shark text-14px leading-20px -tracking-0.1px w-[100%] break-words line-clamp-2">A: </p></div></a><a href="/questions-and-answers/a-particle-moving-along-thex-axis-has-its-position-described-by-the-function-x-5.00-t3-5.00tt-1.00-m/7632ecb0-7521-4d47-b529-581c1559c400" class="flex-1 w-full no-underline mx-2px mt-2px mb-24px" tabindex="0"><div class="w-full lg:max-w-[255px]"><p class="text-grey-500 flex-1 m-0 text-16px font-semibold leading-24px -tracking-0.1px pb-6px w-[100%] break-words line-clamp-2">Q: A particle moving along the x-axis has its position described by the function x =( 5.00 t^3-5.00t+t+…</p><p class="flex-1 m-0 text-shark text-14px leading-20px -tracking-0.1px w-[100%] break-words line-clamp-2">A: </p></div></a><a href="/questions-and-answers/at-time-t-0-a-particle-at-the-origin-of-an-xyz-coordinate-system-has-a-velocity-vector-of-vo-i-12j-k/76b8efcd-5b2b-49cd-8ec4-f293a3f2905b" class="flex-1 w-full no-underline mx-2px mt-2px mb-24px" tabindex="0"><div class="w-full lg:max-w-[255px]"><p class="text-grey-500 flex-1 m-0 text-16px font-semibold leading-24px -tracking-0.1px pb-6px w-[100%] break-words line-clamp-2">Q: At time t = 0 a particle at the origin of an xyz-coordinate system has a velocity vector of Vo =i+…</p><p class="flex-1 m-0 text-shark text-14px leading-20px -tracking-0.1px w-[100%] break-words line-clamp-2">A: </p></div></a><a href="/questions-and-answers/a-particle-moves-in-a-straight-line-and-had-acceleration-given-by-at-3t-5-ms2.-its-initial-velocity-/7b38dc64-e067-4562-8d9c-4200d862dee9" class="flex-1 w-full no-underline mx-2px mt-2px mb-24px" tabindex="0"><div class="w-full lg:max-w-[255px]"><p class="text-grey-500 flex-1 m-0 text-16px font-semibold leading-24px -tracking-0.1px pb-6px w-[100%] break-words line-clamp-2">Q: A particle moves in a straight line and had acceleration given by a(t) = -3t - 5 m/s^2. It’s initial…</p><p class="flex-1 m-0 text-shark text-14px leading-20px -tracking-0.1px w-[100%] break-words line-clamp-2">A: Position at any time t is given by following formula: St=S0+ut+12at2</p></div></a><a href="/questions-and-answers/find-the-position-vector-of-a-particle-that-has-the-given-acceleration-and-the-specified-initial-vel/7e2f3069-b3b5-4ef8-b3a0-76c85b826828" class="flex-1 w-full no-underline mx-2px mt-2px mb-24px" tabindex="0"><div class="w-full lg:max-w-[255px]"><p class="text-grey-500 flex-1 m-0 text-16px font-semibold leading-24px -tracking-0.1px pb-6px w-[100%] break-words line-clamp-2">Q: Find the position vector of a particle that has the given acceleration and the specified initial…</p><p class="flex-1 m-0 text-shark text-14px leading-20px -tracking-0.1px w-[100%] break-words line-clamp-2">A: </p></div></a><a href="/questions-and-answers/taking-north-to-be-the-positive-y-direction-and-east-to-be-the-positive-x-direction-a-particles-posi/84aa6dbf-7d39-4edf-89fb-60315f5ec928" class="flex-1 w-full no-underline mx-2px mt-2px mb-24px" tabindex="0"><div class="w-full lg:max-w-[255px]"><p class="text-grey-500 flex-1 m-0 text-16px font-semibold leading-24px -tracking-0.1px pb-6px w-[100%] break-words line-clamp-2">Q: Taking north to be the positive y direction and east to be the positive x direction, a particle's…</p><p class="flex-1 m-0 text-shark text-14px leading-20px -tracking-0.1px w-[100%] break-words line-clamp-2">A: The objective of the question is to find the time at which the particle is traveling exactly…</p></div></a><a href="/questions-and-answers/suppose-the-position-vector-for-a-particle-is-given-as-a-function-of-time-by-rt-xti-ytj-with-xt-at-b/9390adce-675d-4001-833c-03207f94c6e1" class="flex-1 w-full no-underline mx-2px mt-2px mb-24px" tabindex="0"><div class="w-full lg:max-w-[255px]"><p class="text-grey-500 flex-1 m-0 text-16px font-semibold leading-24px -tracking-0.1px pb-6px w-[100%] break-words line-clamp-2">Q: Suppose the position vector for a particle is given as a function of time by r(t) = x(t)î + y(t)j,…</p><p class="flex-1 m-0 text-shark text-14px leading-20px -tracking-0.1px w-[100%] break-words line-clamp-2">A: 1. According to the above question, Position vector for a particle is r→(t) = x(t)i + y(t)j ,…</p></div></a><a href="/questions-and-answers/an-object-on-a-horizontal-plane-has-an-initial-velocity-vo-6.013.0fms-at-a-point-where-its-position-/956e44c1-d950-4615-ae90-ab67d162030e" class="flex-1 w-full no-underline mx-2px mt-2px mb-24px" tabindex="0"><div class="w-full lg:max-w-[255px]"><p class="text-grey-500 flex-1 m-0 text-16px font-semibold leading-24px -tracking-0.1px pb-6px w-[100%] break-words line-clamp-2">Q: An object on a horizontal plane has an initial velocity Vo (6.01+3.0f)m/s at a point where its…</p><p class="flex-1 m-0 text-shark text-14px leading-20px -tracking-0.1px w-[100%] break-words line-clamp-2">A: Given: Initial velocity vector, v→i=(6.0i^+3.0 j^) m/s Final velocity, v→f=(-8.0i^-4.0 j^) m/s…</p></div></a><a href="/questions-and-answers/a-toy-frog-is-initially-at-the-origin-of-a-cartesian-coordinate-system.-upon-leaping-its-position-af/95d7e8ee-8c34-4d2f-952b-c3e4dd55e866" class="flex-1 w-full no-underline mx-2px mt-2px mb-24px" tabindex="0"><div class="w-full lg:max-w-[255px]"><p class="text-grey-500 flex-1 m-0 text-16px font-semibold leading-24px -tracking-0.1px pb-6px w-[100%] break-words line-clamp-2">Q: A toy frog is initially at the origin of a Cartesian coordinate system. Upon leaping, its position…</p><p class="flex-1 m-0 text-shark text-14px leading-20px -tracking-0.1px w-[100%] break-words line-clamp-2">A: Initially frog at the origin, with coordinates O(0,0,0) After a second it is at point P, P=(5…</p></div></a><a href="/questions-and-answers/1.-the-particles-position-vector-varies-in-time-according-to-the-expression-r-3.00i-6.00t2j-m-a-dete/964f56e8-c58c-4c80-b89c-85f7b4b1ae56" class="flex-1 w-full no-underline mx-2px mt-2px mb-24px" tabindex="0"><div class="w-full lg:max-w-[255px]"><p class="text-grey-500 flex-1 m-0 text-16px font-semibold leading-24px -tracking-0.1px pb-6px w-[100%] break-words line-clamp-2">Q: 1. The particle's position vector varies in time according to the expression r = (3.00i – 6.00t2j) m…</p><p class="flex-1 m-0 text-shark text-14px leading-20px -tracking-0.1px w-[100%] break-words line-clamp-2">A: Let r denotes the position vector of the particle at time t, v denotes the position vector of the…</p></div></a><a href="/questions-and-answers/a-dog-running-in-an-open-field-has-components-of-velocity-v_x-2.0-ms-and-v_y-1.6-ms-at-time-t_1-10.0/9cf838f6-4187-4d95-b2bd-0dd45b2bb488" class="flex-1 w-full no-underline mx-2px mt-2px mb-24px" tabindex="0"><div class="w-full lg:max-w-[255px]"><p class="text-grey-500 flex-1 m-0 text-16px font-semibold leading-24px -tracking-0.1px pb-6px w-[100%] break-words line-clamp-2">Q: A dog running in an open field has components of velocity v_x = 2.0 m/s and v_y = -1.6 m/s at time…</p><p class="flex-1 m-0 text-shark text-14px leading-20px -tracking-0.1px w-[100%] break-words line-clamp-2">A: Using kinematics equation in component form we can solve the problem as solved below.</p></div></a><a href="/questions-and-answers/suppose-the-position-vector-for-a-particle-is-given-as-a-function-of-time-by-rt-xti-yt-with-xt-at-b-/9e9db9d7-dc20-4261-bd36-b5c0d66104c6" class="flex-1 w-full no-underline mx-2px mt-2px mb-24px" tabindex="0"><div class="w-full lg:max-w-[255px]"><p class="text-grey-500 flex-1 m-0 text-16px font-semibold leading-24px -tracking-0.1px pb-6px w-[100%] break-words line-clamp-2">Q: Suppose the position vector for a particle is given as a function of time by r(t) = x(t)î + y(t)ĵ,…</p><p class="flex-1 m-0 text-shark text-14px leading-20px -tracking-0.1px w-[100%] break-words line-clamp-2">A: </p></div></a><a href="/questions-and-answers/suppose-that-the-position-vector-for-a-particle-is-given-as-a-function-of-time-bytxtiyt-withxt-atban/a6b3e1bd-b61e-498d-b6e9-2f8840ea700a" class="flex-1 w-full no-underline mx-2px mt-2px mb-24px" tabindex="0"><div class="w-full lg:max-w-[255px]"><p class="text-grey-500 flex-1 m-0 text-16px font-semibold leading-24px -tracking-0.1px pb-6px w-[100%] break-words line-clamp-2">Q: Suppose that the position vector for a particle is given as a function of time by (t) = x(t)î +…</p><p class="flex-1 m-0 text-shark text-14px leading-20px -tracking-0.1px w-[100%] break-words line-clamp-2">A: The position vector for a particle is, r→(t) = x(t) î + y(t) ĵ…</p></div></a><a href="/questions-and-answers/the-figure-shows-the-y-position-in-blue-of-a-particle-versus-time.-y-m-20-16-r-12-8-4-0-4-t-s-a-what/a711efe9-f7e4-4076-a73b-7e36c5895b72" class="flex-1 w-full no-underline mx-2px mt-2px mb-24px" tabindex="0"><div class="w-full lg:max-w-[255px]"><p class="text-grey-500 flex-1 m-0 text-16px font-semibold leading-24px -tracking-0.1px pb-6px w-[100%] break-words line-clamp-2">Q: The figure shows the y-position (in blue) of a particle versus time. y (m) 20 16 r 12 8 4 0 4 -t (s)…</p><p class="flex-1 m-0 text-shark text-14px leading-20px -tracking-0.1px w-[100%] break-words line-clamp-2">A: (a) According to the graph figure, the blue line indicates the trajectory of the particle with…</p></div></a><a href="/questions-and-answers/the-velocity-7-of-a-particle-moving-in-the-xy-plane-is-given-by-5.50-5.00-pi-9.00.-with-v-in-meters-/aabaea87-e7f3-48e9-bb07-fa1e190084e4" class="flex-1 w-full no-underline mx-2px mt-2px mb-24px" tabindex="0"><div class="w-full lg:max-w-[255px]"><p class="text-grey-500 flex-1 m-0 text-16px font-semibold leading-24px -tracking-0.1px pb-6px w-[100%] break-words line-clamp-2">Q: The velocity 7 of a particle moving in the xy plane is given by = ( 5.50 - 5.00 P)i + 9.00). with V…</p><p class="flex-1 m-0 text-shark text-14px leading-20px -tracking-0.1px w-[100%] break-words line-clamp-2">A: According to guidelines we need to solve only first three sub-part kindly repost other parts in the…</p></div></a><a href="/questions-and-answers/application-3-a-particle-moves-on-a-horizontal-trajectory-with-velocity-v-3t-6t-ms.-here-t-is-the-ti/b29fc1c7-e3ea-4934-807a-5e7dc577f15d" class="flex-1 w-full no-underline mx-2px mt-2px mb-24px" tabindex="0"><div class="w-full lg:max-w-[255px]"><p class="text-grey-500 flex-1 m-0 text-16px font-semibold leading-24px -tracking-0.1px pb-6px w-[100%] break-words line-clamp-2">Q: Application 3: A particle moves on a horizontal trajectory with velocity V = (3t? - 6t) m/s. Here t…</p><p class="flex-1 m-0 text-shark text-14px leading-20px -tracking-0.1px w-[100%] break-words line-clamp-2">A: </p></div></a><a href="/questions-and-answers/the-acceleration-of-a-particle-moving-only-on-a-horizontal-xy-plane-is-given-by-a-411-stj.where-a-is/b6bd7fb3-1cdb-46a1-b839-caae1bc20a3d" class="flex-1 w-full no-underline mx-2px mt-2px mb-24px" tabindex="0"><div class="w-full lg:max-w-[255px]"><p class="text-grey-500 flex-1 m-0 text-16px font-semibold leading-24px -tracking-0.1px pb-6px w-[100%] break-words line-clamp-2">Q: The acceleration of a particle moving only on a horizontal xy plane is given by a = 411 + Stj.where…</p><p class="flex-1 m-0 text-shark text-14px leading-20px -tracking-0.1px w-[100%] break-words line-clamp-2">A: </p></div></a><a href="/questions-and-answers/during-a-4.75-s-interval-a-particles-coordinates-change-from-x-11.0-m-y-5.25-m-to-x-30.3-m-y-5.25-m./b7454e0f-1c0b-4b29-bcb6-d1928d36ef6f" class="flex-1 w-full no-underline mx-2px mt-2px mb-24px" tabindex="0"><div class="w-full lg:max-w-[255px]"><p class="text-grey-500 flex-1 m-0 text-16px font-semibold leading-24px -tracking-0.1px pb-6px w-[100%] break-words line-clamp-2">Q: During a 4.75 s interval, a particle's coordinates change from x = 11.0 m, y = 5.25 m to x = 30.3 m,…</p><p class="flex-1 m-0 text-shark text-14px leading-20px -tracking-0.1px w-[100%] break-words line-clamp-2">A: </p></div></a><a href="/questions-and-answers/a-particle-travels-along-the-following-vectors-in-succession-d1-5i-d2-12j-and-d3-2i-4j-and-d4-6i-5j./b784c9f7-c84b-47ce-b0e3-6a1fcc40b201" class="flex-1 w-full no-underline mx-2px mt-2px mb-24px" tabindex="0"><div class="w-full lg:max-w-[255px]"><p class="text-grey-500 flex-1 m-0 text-16px font-semibold leading-24px -tracking-0.1px pb-6px w-[100%] break-words line-clamp-2">Q: A particle travels along the following vectors in succession: D1 = 5^i, "D2 = 12^j, & D3 = 2^i +…</p><p class="flex-1 m-0 text-shark text-14px leading-20px -tracking-0.1px w-[100%] break-words line-clamp-2">A: </p></div></a></div></div></div><div><div class="flexRow flex-initial items-center w-full pt-24px mt-24px border-t-[1px] border-athensGray2 "><div class="flex-initial flex w-24px h-24px rounded-full mr-16px " style="background-color:#A550CF"><img width="16px" height="16px" class="flex-initial justify-center items-center m-auto" src="/static/compass_v2/leftrail/idea.svg" alt="icon" loading="lazy" decoding="async"/></div><div class="text-16px leading-24px text-darkBlue-900 font-semibold">Concept explainers</div><button aria-label="open concept explainers" aria-controls="concept-explainers-panel" id="concept-explainers-left-rail" aria-expanded="false" class="flext flex-initial ml-auto w-24px h-24px" tabindex="0"><img width="10px" height="5px" class="flex-initial justify-center items-center m-auto" src="/static/compass_v2/leftrail/expand.svg" alt="button" loading="lazy" decoding="async"/></button></div><div class="hidden w-full max-h-[250px] overflow-y-scroll" id="concept-explainers-panel" aria-labelledby="#concept-explainers-left-rail"><div class="flex flexCol overflow-x-hidden"></div><div class="flex flex-wrap overflow-hidden h-0px"><a href="/subject/science/physics/concepts/projectile-motion" class="flex-1 w-full no-underline mx-2px mt-2px mb-16px" tabindex="0"><div class="w-full lg:max-w-[255px]"><p class="text-grey-500 flex-1 m-0 text-16px font-semibold leading-24px -tracking-0.1px pb-6px w-[100%] break-words">Projectile Motion</p><p class="flex-1 m-0 text-grey-500 text-14px leading-20px -tracking-0.1px w-[100%] break-words line-clamp-2"> </p></div></a></div></div></div></div><div class=" flex flex-col gap-24px px-16px pt-24px pb-16px mt-[20px] border-[1px] border-grey100 bg-white rounded-lg min-w-[264px] "><div class="font-semibold font-sans text-darkBlue-900 pl-10px border-l-[2px] border-solid border-yellow700 leading-32px text-24px">Topic Video</div><button class="w-[284px] h-[179px] cursor-pointer bg-[url('/static/compass_v2/qna-answer/QNA-AI-Video-Mask.png')] bg-no-repeat bg-contain bg-center flex justify-center items-center m-auto "></button></div><div id="qa_ad_sidebar" class="mt-[1rem] mx-auto mb-0 min-h-[250px] max-h-[600px] w-[300px] max-md:hidden"></div></div><div id="QNA-PAGE-MIDDLE-MAIN" class="flexCol"><div class="flex flex-col-reverse sm:flex-row sm:justify-between sm:items-center"><div class="flex flex-initial border-l-[2px] border-solid border-yellow700"><div aria-level="2" role="heading" data-section-name="Question" class="flex-initial text-20px font-semibold font-sans text-darkBlue-900 ml-8px md:text-24px">Question</div></div></div><div class="flexCol flex-initial border-[1px] mt-24px p-24px rounded-lg border-solid border-ghost bg-white"><div class="font-sans text-16px text-black leading-24px ">Suppose the position vector for a particle is given as a function of time by r(t)=x(t)i^+y(t)j^, with x(t)=at+b and y(t)=ct2+d, where a=1.00m/s,b=1.00m,c=0.125m/s2, and d=1.00m. (a) Calculate the average velocity during the time interval from t=2.00s to t=4.00s. (b) Determine the velocity and the speed at t=2.00s </div></div><div class="flex flex-initial items-center mt-24px border-l-[2px] border-solid border-yellow700"><div aria-level="2" role="heading" data-section-name="Expert Solution" class="flex-initial text-20px font-semibold font-sans text-darkBlue-900 ml-8px md:text-24px">Expert Solution</div><img class="w-24px h-24px ml-16px" src="/static/compass_v2/shared-icons/check-mark.png" alt="" decoding="async" width="24" height="24"/></div><div id="Expert-Solution" class="paywall"></div><div id="solution-summary-v2-wrapper" class="hidden relative flexCol flex-initial border-[1px] mt-24px p-24px rounded-lg border-solid border-ghost bg-white"><div class="relative"><div style="height:510px" class="relative"><div class="sticky top-[50px] bg-darkBlue600 flex flex-col p-[16px] md:p-[24px] gap-[24px] max-w-[300px] md:max-w-[450px] m-auto items-center text-center rounded-[8px] z-[800]"><div class="flex flex-col gap-[10px] items-center"><div class="text-[24px] leading-[32px] p-[10px] text-white font-sans font-semibold">This question has been solved!</div><div class="text-[16px] leading-[24px] font-sans text-white">Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.</div><div class="flex flex-row justify-start items-center gap-[12px] w-[90%] md:w-[60%]"><img width="24px" height="24px" src="/static/compass_v2/solutionSummary/trendingV2.svg" alt="trending now" loading="lazy" decoding="async"/><div class="text-16px leading-24px text-white font-sans"> This is a popular solution! 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Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.</div></div></div><div class="mt-32px mb-80px md:mb-0" id="similar-questions"><div class="flex items-center justify-between"><div class="block text-24px leading-20px text-darkBlue-900 font-semibold font-sans" data-section-name="Similar questions">Similar questions</div><div class="hidden md:flex cursor-pointer w-[40px] justify-between"><button aria-label="Previous items" tabindex="0"><svg stroke="currentColor" fill="currentColor" stroke-width="0" viewBox="0 0 24 24" class="button-icon" style="color:#5B63FE;height:14px" height="1em" width="1em" xmlns="http://www.w3.org/2000/svg"><path fill="none" d="M0 0h24v24H0z"></path><path d="M11.67 3.87L9.9 2.1 0 12l9.9 9.9 1.77-1.77L3.54 12z"></path></svg></button><button aria-label="Next items" tabindex="0"><svg stroke="currentColor" fill="currentColor" stroke-width="0" viewBox="0 0 24 24" class="button-icon" style="color:#5B63FE;height:14px" height="1em" width="1em" xmlns="http://www.w3.org/2000/svg"><path fill="none" d="M0 0h24v24H0V0z"></path><path d="M6.23 20.23L8 22l10-10L8 2 6.23 3.77 14.46 12z"></path></svg></button></div></div><div class="relative"><ul class="flex overflow-hidden w-[100%]"><li class="m-w-[100%] list-none text-left block [&+li]:block }"><div class="flex flex-col mt-40px w-[100%] sm:flex-row"><a href="/questions-and-answers/a-puck-is-moving-on-an-air-hockey-table.-relative-to-an-x-y-coordinate-system-at-time-t-0s-the-x-com/ba1544e1-3e47-4621-94b4-40a47aef1d6a" class="mr-24px" tabindex="0"><div class="mb-20px m-w-[100%] w-[250px] no-underline border-[1px] border-solid border-grey100 p-[16px] md:mb-0px md:w-[318px] m-h-[134px] leading-24px hover:bg-banner-info"><div class="odd:mr-0px flex items-end justify-between w-[100%]"><div class="flex overflow-hidden h-[100px] "><div style="display:-webkit-box;-webkit-box-orient:vertical;-webkit-line-clamp:4" class="m-w-[350px] text-16px overflow-hidden text-grey-500">A puck is moving on an air hockey table. Relative to an x, y coordinate system at time t = 0 s, the x components of the puck's initial velocity and acceleration are vox = +2.2 m/s and ax = +7.2 m/s². The y components of the puck's initial velocity and acceleration are Voy = +9.7 m/s and a, = -1.7 m/s?. Find (a) the magnitude v and (b) the direction 0 of the puck's velocity at a time of t = 0.50 s. Specify %3D the direction relative to the +x axis. (a) V = (b) 0 = degrees the +x axis</div></div><div class="flex ml-24px text-darkBlue900 text-24px"><svg stroke="currentColor" fill="currentColor" stroke-width="0" viewBox="0 0 24 24" style="color:#5B63FE" height="1em" width="1em" xmlns="http://www.w3.org/2000/svg"><path fill="none" d="M0 0h24v24H0z"></path><path d="M12 4l-1.41 1.41L16.17 11H4v2h12.17l-5.58 5.59L12 20l8-8z"></path></svg></div></div></div></a><a href="/questions-and-answers/suppose-the-position-vector-for-a-particle-is-given-as-a-function-of-time-by-with-xt-at-b-and-yt-ct2/bc3068d2-7c82-44ab-bc64-99017f34c42e" class="mr-24px" tabindex="0"><div class="mb-20px m-w-[100%] w-[250px] no-underline border-[1px] border-solid border-grey100 p-[16px] md:mb-0px md:w-[318px] m-h-[134px] leading-24px hover:bg-banner-info"><div class="odd:mr-0px flex items-end justify-between w-[100%]"><div class="flex overflow-hidden h-[100px] "><div style="display:-webkit-box;-webkit-box-orient:vertical;-webkit-line-clamp:4" class="m-w-[350px] text-16px overflow-hidden text-grey-500">Suppose the position vector for a particle is given as a function of time by , with x(t) = at + b and y(t) =ct2 + d, where a = 1.00 m/s, b = 1.00 m, c= 0.125 m/s2, and d = 1.00 m. (a) Calculate the average velocity during the time interval from t = 1.00 s to t = 4.00 s. (b) Determine the velocity and the speed at t = 3.00 s. (c) Determine the acceleration at t = 3.00 s.</div></div><div class="flex ml-24px text-darkBlue900 text-24px"><svg stroke="currentColor" fill="currentColor" stroke-width="0" viewBox="0 0 24 24" style="color:#5B63FE" height="1em" width="1em" xmlns="http://www.w3.org/2000/svg"><path fill="none" d="M0 0h24v24H0z"></path><path d="M12 4l-1.41 1.41L16.17 11H4v2h12.17l-5.58 5.59L12 20l8-8z"></path></svg></div></div></div></a><a href="/questions-and-answers/v-sin-20-for-the-range-of-a-projectile-on-level-ground-by-finding-the-time-t-at-which-y-becomes-zero/bf847a28-c2f4-456b-b5d3-e4791ad22b1e" class="mr-24px" tabindex="0"><div class="mb-20px m-w-[100%] w-[250px] no-underline border-[1px] border-solid border-grey100 p-[16px] md:mb-0px md:w-[318px] m-h-[134px] leading-24px hover:bg-banner-info"><div class="odd:mr-0px flex items-end justify-between w-[100%]"><div class="flex overflow-hidden h-[100px] "><div style="display:-webkit-box;-webkit-box-orient:vertical;-webkit-line-clamp:4" class="m-w-[350px] text-16px overflow-hidden text-grey-500">need help</div></div><div class="flex ml-24px text-darkBlue900 text-24px"><svg stroke="currentColor" fill="currentColor" stroke-width="0" viewBox="0 0 24 24" style="color:#5B63FE" height="1em" width="1em" xmlns="http://www.w3.org/2000/svg"><path fill="none" d="M0 0h24v24H0z"></path><path d="M12 4l-1.41 1.41L16.17 11H4v2h12.17l-5.58 5.59L12 20l8-8z"></path></svg></div></div></div></a></div></li><li class="m-w-[100%] list-none text-left hidden }"><div class="flex flex-col mt-40px w-[100%] sm:flex-row"><a href="/questions-and-answers/use-the-given-acceleration-function-and-initial-conditions-to-find-the-velocity-vector-vt-and-positi/c119d344-97ef-4093-b22a-9d064a6eaf40" class="mr-24px" tabindex="0"><div class="mb-20px m-w-[100%] w-[250px] no-underline border-[1px] border-solid border-grey100 p-[16px] md:mb-0px md:w-[318px] m-h-[134px] leading-24px hover:bg-banner-info"><div class="odd:mr-0px flex items-end justify-between w-[100%]"><div class="flex overflow-hidden h-[100px] "><div style="display:-webkit-box;-webkit-box-orient:vertical;-webkit-line-clamp:4" class="m-w-[350px] text-16px overflow-hidden text-grey-500">Use the given acceleration function and initial conditions to find the velocity vector v(t), and position vector r(t). Then find the position at time t = 3. a(t) = 8i + 4k v(0) = 5j, r(0) = 0 v(t) = r(t) = r(3) =</div></div><div class="flex ml-24px text-darkBlue900 text-24px"><svg stroke="currentColor" fill="currentColor" stroke-width="0" viewBox="0 0 24 24" style="color:#5B63FE" height="1em" width="1em" xmlns="http://www.w3.org/2000/svg"><path fill="none" d="M0 0h24v24H0z"></path><path d="M12 4l-1.41 1.41L16.17 11H4v2h12.17l-5.58 5.59L12 20l8-8z"></path></svg></div></div></div></a><a href="/questions-and-answers/a-particle-has-the-following-position-vector-aet-at-t-to-find-the-velocity-and-the-acceleration-of-t/c11c1e83-2774-42b5-93b3-277ea7ff531c" class="mr-24px" tabindex="0"><div class="mb-20px m-w-[100%] w-[250px] no-underline border-[1px] border-solid border-grey100 p-[16px] md:mb-0px md:w-[318px] m-h-[134px] leading-24px hover:bg-banner-info"><div class="odd:mr-0px flex items-end justify-between w-[100%]"><div class="flex overflow-hidden h-[100px] "><div style="display:-webkit-box;-webkit-box-orient:vertical;-webkit-line-clamp:4" class="m-w-[350px] text-16px overflow-hidden text-grey-500">A particle has the following position vector x(t) = at³ + (t + to) " Find the velocity and the acceleration of the particle as a function of time where a, y, and to are positive constants. v(t) 2at? 2y 6y a(t) = 3at + - (t + to)³ (t +to)4 2y 6y v(t) = 2at³ a(t) (t + to)3' = 6at + - (t + to)³ 27 v(t) = 3at² + (t + to)3 2y a(t) : 2at + (t +to)4 2y 6y v(t) = 3at² + (t + to) " a(t) = 6at (t + to)ª 27 6y v(t) = 3at? a(t) (t + to)3 = 6at + - (t + to)4</div></div><div class="flex ml-24px text-darkBlue900 text-24px"><svg stroke="currentColor" fill="currentColor" stroke-width="0" viewBox="0 0 24 24" style="color:#5B63FE" height="1em" width="1em" xmlns="http://www.w3.org/2000/svg"><path fill="none" d="M0 0h24v24H0z"></path><path d="M12 4l-1.41 1.41L16.17 11H4v2h12.17l-5.58 5.59L12 20l8-8z"></path></svg></div></div></div></a><a href="/questions-and-answers/a-particle-moving-along-the-x-axis-has-velocity-function-vt-t-sin-t.-how-far-does-the-particle-trave/c1fcd4e0-3e0c-4989-9c74-e703a24f46e1" class="mr-24px" tabindex="0"><div class="mb-20px m-w-[100%] w-[250px] no-underline border-[1px] border-solid border-grey100 p-[16px] md:mb-0px md:w-[318px] m-h-[134px] leading-24px hover:bg-banner-info"><div class="odd:mr-0px flex items-end justify-between w-[100%]"><div class="flex overflow-hidden h-[100px] "><div style="display:-webkit-box;-webkit-box-orient:vertical;-webkit-line-clamp:4" class="m-w-[350px] text-16px overflow-hidden text-grey-500">A particle moving along the x-axis has velocity function v(t) = t³ sin t. How far does the particle travel from time t = 0to t = π?</div></div><div class="flex ml-24px text-darkBlue900 text-24px"><svg stroke="currentColor" fill="currentColor" stroke-width="0" viewBox="0 0 24 24" style="color:#5B63FE" height="1em" width="1em" xmlns="http://www.w3.org/2000/svg"><path fill="none" d="M0 0h24v24H0z"></path><path d="M12 4l-1.41 1.41L16.17 11H4v2h12.17l-5.58 5.59L12 20l8-8z"></path></svg></div></div></div></a></div></li><li class="m-w-[100%] list-none text-left hidden }"><div class="flex flex-col mt-40px w-[100%] sm:flex-row"><a href="/questions-and-answers/a-puck-is-moving-on-an-air-hockey-table.-relative-to-an-x-y-coordinate-system-at-time-t-0s-the-x-com/c3e8c4dc-b6c1-44ab-8932-0e8cc872db39" class="mr-24px" tabindex="0"><div class="mb-20px m-w-[100%] w-[250px] no-underline border-[1px] border-solid border-grey100 p-[16px] md:mb-0px md:w-[318px] m-h-[134px] leading-24px hover:bg-banner-info"><div class="odd:mr-0px flex items-end justify-between w-[100%]"><div class="flex overflow-hidden h-[100px] "><div style="display:-webkit-box;-webkit-box-orient:vertical;-webkit-line-clamp:4" class="m-w-[350px] text-16px overflow-hidden text-grey-500">A puck is moving on an air hockey table. Relative to an x, y coordinate system at time t = 0s, the x components of the puck's initial velocity and acceleration are vox = +7.2 m/s and ax = +1.1 m/s². They components of the puck's initial velocity and acceleration are Voy=+3.6 m/s and ay = -1.5 m/s². Find (a) the magnitude v and (b) the direction of the puck's velocity at a time of t = 0.50 s. Specify the direction relative to the +x axis. (a) v = i (b) 0= degrees the +x axis</div></div><div class="flex ml-24px text-darkBlue900 text-24px"><svg stroke="currentColor" fill="currentColor" stroke-width="0" viewBox="0 0 24 24" style="color:#5B63FE" height="1em" width="1em" xmlns="http://www.w3.org/2000/svg"><path fill="none" d="M0 0h24v24H0z"></path><path d="M12 4l-1.41 1.41L16.17 11H4v2h12.17l-5.58 5.59L12 20l8-8z"></path></svg></div></div></div></a><a href="/questions-and-answers/a-particle-leaves-the-origin-with-an-initial-velocity-v-7.32i-ms-and-a-constant-acceleration-a-2.28i/c45803c0-cb2a-4baa-aa21-16e1f0ad373a" class="mr-24px" tabindex="0"><div class="mb-20px m-w-[100%] w-[250px] no-underline border-[1px] border-solid border-grey100 p-[16px] md:mb-0px md:w-[318px] m-h-[134px] leading-24px hover:bg-banner-info"><div class="odd:mr-0px flex items-end justify-between w-[100%]"><div class="flex overflow-hidden h-[100px] "><div style="display:-webkit-box;-webkit-box-orient:vertical;-webkit-line-clamp:4" class="m-w-[350px] text-16px overflow-hidden text-grey-500">I need help here please</div></div><div class="flex ml-24px text-darkBlue900 text-24px"><svg stroke="currentColor" fill="currentColor" stroke-width="0" viewBox="0 0 24 24" style="color:#5B63FE" height="1em" width="1em" xmlns="http://www.w3.org/2000/svg"><path fill="none" d="M0 0h24v24H0z"></path><path d="M12 4l-1.41 1.41L16.17 11H4v2h12.17l-5.58 5.59L12 20l8-8z"></path></svg></div></div></div></a><a href="/questions-and-answers/velocity-and-acceleration-of-a-particle-at-time-t-0-are-u-2i-3j-ms-and-a-4i-2j-ms-respectively.-find/ce111075-5af9-4dfc-af4b-f48c328388f3" class="mr-24px" tabindex="0"><div class="mb-20px m-w-[100%] w-[250px] no-underline border-[1px] border-solid border-grey100 p-[16px] md:mb-0px md:w-[318px] m-h-[134px] leading-24px hover:bg-banner-info"><div class="odd:mr-0px flex items-end justify-between w-[100%]"><div class="flex overflow-hidden h-[100px] "><div style="display:-webkit-box;-webkit-box-orient:vertical;-webkit-line-clamp:4" class="m-w-[350px] text-16px overflow-hidden text-grey-500">Velocity and acceleration of a particle at time (4î + 2j) m/s? respectively. Find the velocity and displacement of particle att = 2 s. = 0 are u = (2î + 3j) m/s and a =</div></div><div class="flex ml-24px text-darkBlue900 text-24px"><svg stroke="currentColor" fill="currentColor" stroke-width="0" viewBox="0 0 24 24" style="color:#5B63FE" height="1em" width="1em" xmlns="http://www.w3.org/2000/svg"><path fill="none" d="M0 0h24v24H0z"></path><path d="M12 4l-1.41 1.41L16.17 11H4v2h12.17l-5.58 5.59L12 20l8-8z"></path></svg></div></div></div></a></div></li><li class="m-w-[100%] list-none text-left hidden }"><div class="flex flex-col mt-40px w-[100%] sm:flex-row"><a href="/questions-and-answers/a-particle-leaves-the-origin-with-an-initial-velocity-3.00i-ms-and-a-constant-acceleration-a-1.00i-0/ce370336-73fa-495d-8095-1097c9f0248c" class="mr-24px" tabindex="0"><div class="mb-20px m-w-[100%] w-[250px] no-underline border-[1px] border-solid border-grey100 p-[16px] md:mb-0px md:w-[318px] m-h-[134px] leading-24px hover:bg-banner-info"><div class="odd:mr-0px flex items-end justify-between w-[100%]"><div class="flex overflow-hidden h-[100px] "><div style="display:-webkit-box;-webkit-box-orient:vertical;-webkit-line-clamp:4" class="m-w-[350px] text-16px overflow-hidden text-grey-500">A particle leaves the origin with an initial velocity 3.00î m/s and a constant acceleration ở -1.00î – 0.50ĵ m/s². When it reaches its maximum x coordinate, what are its (a) velocity and (b) position vector?</div></div><div class="flex ml-24px text-darkBlue900 text-24px"><svg stroke="currentColor" fill="currentColor" stroke-width="0" viewBox="0 0 24 24" style="color:#5B63FE" height="1em" width="1em" xmlns="http://www.w3.org/2000/svg"><path fill="none" d="M0 0h24v24H0z"></path><path d="M12 4l-1.41 1.41L16.17 11H4v2h12.17l-5.58 5.59L12 20l8-8z"></path></svg></div></div></div></a><a href="/questions-and-answers/a-proton-initially-has-7.10i-5.10-6.60-a.-6.60-and-then-2.70-s-later-has-7-4.70-5.10-13.0-i-meters-p/cec75a84-284b-4d17-8012-6d7f9802d493" class="mr-24px" tabindex="0"><div class="mb-20px m-w-[100%] w-[250px] no-underline border-[1px] border-solid border-grey100 p-[16px] md:mb-0px md:w-[318px] m-h-[134px] leading-24px hover:bg-banner-info"><div class="odd:mr-0px flex items-end justify-between w-[100%]"><div class="flex overflow-hidden h-[100px] "><div style="display:-webkit-box;-webkit-box-orient:vertical;-webkit-line-clamp:4" class="m-w-[350px] text-16px overflow-hidden text-grey-500">A proton initially has 7 = (-7.10)î + (5.10)Ƒ + (−6.60)î : and then 2.70 s later has 7 = (4.70)î + (5.10)ĵ + (13.0)ê (in avg meters per second). (a) For that 2.70 s, what is the proton's average acceleration a in unit vector notation, (b) in magnitude, and the angle between a and the positive direction of the x axis? avg (a) Number i 11.8 (b) Number i (c) Number i î+ Units Units i 19.6 k Units m/s</div></div><div class="flex ml-24px text-darkBlue900 text-24px"><svg stroke="currentColor" fill="currentColor" stroke-width="0" viewBox="0 0 24 24" style="color:#5B63FE" height="1em" width="1em" xmlns="http://www.w3.org/2000/svg"><path fill="none" d="M0 0h24v24H0z"></path><path d="M12 4l-1.41 1.41L16.17 11H4v2h12.17l-5.58 5.59L12 20l8-8z"></path></svg></div></div></div></a><a href="/questions-and-answers/an-ions-position-vector-is-initially-7-9.1-2.4-m-i-7.4-7-number-i-1-m-i-i-9.9-m-7.4-m-6.5-m-.-in-10-/d9dc340a-ede5-408b-af1f-56e068e93048" class="mr-24px" tabindex="0"><div class="mb-20px m-w-[100%] w-[250px] no-underline border-[1px] border-solid border-grey100 p-[16px] md:mb-0px md:w-[318px] m-h-[134px] leading-24px hover:bg-banner-info"><div class="odd:mr-0px flex items-end justify-between w-[100%]"><div class="flex overflow-hidden h-[100px] "><div style="display:-webkit-box;-webkit-box-orient:vertical;-webkit-line-clamp:4" class="m-w-[350px] text-16px overflow-hidden text-grey-500">Number An ion's position vector is initially 7 = (2.4 m )î + (−7.4 m )3 + (6.5 m ). In unit-vector notation, what is its average velocity during the 6.7 s? )ĵ i 1 + = 9.1 m )i + (−9.9 m )ĵ + (−10 m )k, ) + (-10 m ), and 6.7 s later it is -0.37313433 Ĵ + MI -2.46268657 k Units m/s</div></div><div class="flex ml-24px text-darkBlue900 text-24px"><svg stroke="currentColor" fill="currentColor" stroke-width="0" viewBox="0 0 24 24" style="color:#5B63FE" height="1em" width="1em" xmlns="http://www.w3.org/2000/svg"><path fill="none" d="M0 0h24v24H0z"></path><path d="M12 4l-1.41 1.41L16.17 11H4v2h12.17l-5.58 5.59L12 20l8-8z"></path></svg></div></div></div></a></div></li></ul><div class="flex items-baseline justify-center mb-40px"><div class="block md:hidden text-blue-400"><button tabindex="0"><svg stroke="currentColor" fill="currentColor" stroke-width="0" viewBox="0 0 24 24" class="button-icon" style="width:14px" height="1em" width="1em" xmlns="http://www.w3.org/2000/svg"><path fill="none" d="M0 0h24v24H0z"></path><path d="M11.67 3.87L9.9 2.1 0 12l9.9 9.9 1.77-1.77L3.54 12z"></path></svg></button></div><ul class="flex flex-row justify-center items-center mt-[20px] ps-[40px] "><li class="cursor-pointer list-disc w-15px text-[35px] ml-[9px] text-blue-400"></li><li class="cursor-pointer list-disc w-15px text-[35px] ml-[9px] text-iron"></li><li class="cursor-pointer list-disc w-15px text-[35px] ml-[9px] text-iron"></li><li class="cursor-pointer list-disc w-15px text-[35px] ml-[9px] text-iron"></li><div class="w-[100%] text-center justify-center absolute flex items-center right-0 cursor-pointer text-blue-400 font-semibold -tracking-[0.2px] hover:underline md:w-auto max-md:bottom-[-38px]" tabindex="0" role="link">SEE MORE QUESTIONS</div></ul><div class="block md:hidden text-blue-400"><button tabindex="0"><svg stroke="currentColor" fill="currentColor" stroke-width="0" viewBox="0 0 24 24" class="button-icon" style="width:14px" height="1em" width="1em" xmlns="http://www.w3.org/2000/svg"><path fill="none" d="M0 0h24v24H0V0z"></path><path d="M6.23 20.23L8 22l10-10L8 2 6.23 3.77 14.46 12z"></path></svg></button></div></div></div></div><div class="mt-45px md:mt-48px"><div class="flex items-center justify-between"><div class="block text-20px leading-20px text-darkBlue-900 font-semibold font-sans" role="heading" aria-level="2">Recommended textbooks for you</div><div class="hidden md:flex cursor-pointer w-[40px] justify-between"><button aria-label="Previous items" tabindex="0"><svg stroke="currentColor" fill="currentColor" stroke-width="0" viewBox="0 0 24 24" class="button-icon" style="color:#5B63FE;height:14px" height="1em" width="1em" xmlns="http://www.w3.org/2000/svg"><path fill="none" d="M0 0h24v24H0z"></path><path d="M11.67 3.87L9.9 2.1 0 12l9.9 9.9 1.77-1.77L3.54 12z"></path></svg></button><button aria-label="Next items" tabindex="0"><svg stroke="currentColor" fill="currentColor" stroke-width="0" viewBox="0 0 24 24" class="button-icon" style="color:#5B63FE;height:14px" height="1em" width="1em" xmlns="http://www.w3.org/2000/svg"><path fill="none" d="M0 0h24v24H0V0z"></path><path d="M6.23 20.23L8 22l10-10L8 2 6.23 3.77 14.46 12z"></path></svg></button></div></div><div class="hidden mt-40px overflow-hidden justify-between md:flex"><li class="m-auto w-[100%] max-w-[100%] list-none text-left block"><div class="flex w-[100%] flex-col justify-between md:flex-row"><div class="min-w-[80%] mr-[40px] sm:min-w-[45%] md:min-w-[50%] mdl:min-w-[30%] md:m-0"><div class="flex"><img class="m-5px h-[146px] w-[113px] md:m-0 md:mr-16px" src="https://www.bartleby.com/isbn_cover_images/9781305952300/9781305952300_smallCoverImage.gif" alt="College Physics" loading="lazy" decoding="async"/><div class="w-[70%] mdl:w-[56%]"><a href="/textbooks/college-physics-11th-edition/9781305952300/solutions" class="text-16px font-semibold leading-24px cursor-pointer no-underline text-grey-900 hover:no-underline" tabindex="0">College Physics</a><div class="flex items-center mt-8px text-grey-500 text-14px"><div class="w-12px h-12px bg-green50 rounded-[50%] flex items-center justify-center mr-8px"><div class="w-4px h-4px bg-green300 rounded-[50%]"></div></div>Physics</div><div class="flex items-center mt-8px"><div class="font-semibold mr-8px text-14px">ISBN:</div><div class="text-grey-500 text-14px overflow-hidden text-ellipsis whitespace-nowrap">9781305952300</div></div><div class="flex items-center mt-8px"><div class="font-semibold mr-8px text-14px">Author:</div><div class="text-grey-500 text-14px overflow-hidden text-ellipsis whitespace-nowrap">Raymond A. 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(b) Determine the velocity and the speed at t=2.00s","answerCount":1,"dateCreated":"2021-04-12","acceptedAnswer":{"@type":"Answer","text":"Given-\n a=1.00m/s,\nb=1.00m,\nc=0.125m/s2\nd=1.00m."},"url":"https://www.bartleby.com/questions-and-answers/suppose-the-position-vector-for-a-particle-is-given-as-a-function-of-time-byrtxtiytj-withxtatbandytc/8f5c53ee-43d7-4667-8d9e-0538ca692878"}},"breadcrumbXmlSchemaData":{"@context":"http://schema.org","@type":"BreadcrumbList","itemListElement":[{"@type":"ListItem","position":1,"item":{"@id":"https://www.bartleby.com/","name":"Bartleby Textbook Solutions"}},{"@type":"ListItem","position":2,"item":{"@id":"https://www.bartleby.com/subject/science","name":"Science Q\u0026A and Textbook Solutions"}},{"@type":"ListItem","position":3,"item":{"@id":"https://www.bartleby.com/subject/science/physics","name":"Physics Q\u0026A, Textbooks, and Solutions"}},{"@type":"ListItem","position":4,"item":{"@id":"https://www.bartleby.com/subject/science/physics/questions-and-answers","name":"Physics Q\u0026A Library"}},{"@type":"ListItem","position":5,"item":{"@id":"https://www.bartleby.com/questions-and-answers/suppose-the-position-vector-for-a-particle-is-given-as-a-function-of-time-byrtxtiytj-withxtatbandytc/8f5c53ee-43d7-4667-8d9e-0538ca692878","name":"Suppose the position vector for a particle is given as a function of time by r(t)=x(t)i^+y(t)j^, with x(t)=at+b and y(t)=ct2+d, where a=1.00m/s,b=1.00m,c=0.125m/s2, and d=1.00m. 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(a) Calculate the average velocity during the time interval from t=2.00","contentUrl":"https://player.vimeo.com/progressive_redirect/playback/925300477/rendition/240p/file.mp4?loc=external\u0026oauth2_token_id=1713810171\u0026signature=af1b6e41209014d02314f5233004e29b1feb0ea424e6590dcb208c1d96155613","thumbnailUrl":"https://i.vimeocdn.com/filter/overlay?src0=https%3A%2F%2Fi.vimeocdn.com%2Fvideo%2F1818894736-7367f0f566b285efdf4e6fade5ea9ca3358b6a97c40c6eb3387249fdb36040fa-d_1280x720\u0026src1=http%3A%2F%2Ff.vimeocdn.com%2Fp%2Fimages%2Fcrawler_play.png","transcript":"","uploadDate":"2024-03-20T06:57:47.000Z","author":{"@type":"Organization","name":"Bartleby","hasPart":{"@type":"WebPageElement","isAccessibleForFree":false}}},"qnaBreadcrumbProps":{"breadcrumbWithH1Props":{"h1Text":"Suppose the position vector for a particle is given as a function of time by r(t)=x(t)i^+y(t)j^, with x(t)=at+b and y(t)=ct2+d, where a=1.00m/s,b=1.00m,c=0.125m/s2, and d=1.00m. 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The y components of the puck's initial velocity and acceleration are\nVoy = +9.7 m/s and a, = -1.7 m/s?. Find (a) the magnitude v and (b) the direction 0 of the puck's velocity at a time of t = 0.50 s. Specify\n%3D\nthe direction relative to the +x axis.\n(a)\nV =\n(b) 0 =\ndegrees\nthe +x axis"},{"questionUrl":{"href":"/questions-and-answers/suppose-the-position-vector-for-a-particle-is-given-as-a-function-of-time-by-with-xt-at-b-and-yt-ct2/bc3068d2-7c82-44ab-bc64-99017f34c42e"},"questioText":"Suppose the position vector for a particle is given as a function of time by , with x(t) = at + b and y(t) =ct2 + d, where a = 1.00 m/s, b = 1.00 m, c= 0.125 m/s2, and d = 1.00 m.\n(a) Calculate the average velocity during the time interval from t = 1.00 s to t = 4.00 s.\n(b) Determine the velocity and the speed at t = 3.00 s.\n(c) Determine the acceleration at t = 3.00 s."},{"questionUrl":{"href":"/questions-and-answers/v-sin-20-for-the-range-of-a-projectile-on-level-ground-by-finding-the-time-t-at-which-y-becomes-zero/bf847a28-c2f4-456b-b5d3-e4791ad22b1e"},"questioText":"need help"},{"questionUrl":{"href":"/questions-and-answers/use-the-given-acceleration-function-and-initial-conditions-to-find-the-velocity-vector-vt-and-positi/c119d344-97ef-4093-b22a-9d064a6eaf40"},"questioText":"Use the given acceleration function and initial conditions to find the velocity vector v(t), and position vector r(t). 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Specify the\ndirection relative to the +x axis.\n(a) v =\ni\n(b) 0=\ndegrees\nthe +x axis"},{"questionUrl":{"href":"/questions-and-answers/a-particle-leaves-the-origin-with-an-initial-velocity-v-7.32i-ms-and-a-constant-acceleration-a-2.28i/c45803c0-cb2a-4baa-aa21-16e1f0ad373a"},"questioText":"I need help here please"},{"questionUrl":{"href":"/questions-and-answers/velocity-and-acceleration-of-a-particle-at-time-t-0-are-u-2i-3j-ms-and-a-4i-2j-ms-respectively.-find/ce111075-5af9-4dfc-af4b-f48c328388f3"},"questioText":"Velocity and acceleration of a particle at time\n(4î + 2j) m/s? respectively.\nFind the velocity and displacement of particle att = 2 s.\n= 0 are u = (2î + 3j) m/s and a ="},{"questionUrl":{"href":"/questions-and-answers/a-particle-leaves-the-origin-with-an-initial-velocity-3.00i-ms-and-a-constant-acceleration-a-1.00i-0/ce370336-73fa-495d-8095-1097c9f0248c"},"questioText":"A particle leaves the origin with an initial velocity\n3.00î m/s and a constant acceleration ở\n-1.00î – 0.50ĵ m/s². When it reaches its maximum x\ncoordinate, what are its (a) velocity and (b) position\nvector?"},{"questionUrl":{"href":"/questions-and-answers/a-proton-initially-has-7.10i-5.10-6.60-a.-6.60-and-then-2.70-s-later-has-7-4.70-5.10-13.0-i-meters-p/cec75a84-284b-4d17-8012-6d7f9802d493"},"questioText":"A proton initially has 7 = (-7.10)î + (5.10)Ƒ + (−6.60)î\n:\nand then 2.70 s later has 7 = (4.70)î + (5.10)ĵ + (13.0)ê (in\navg\nmeters per second). (a) For that 2.70 s, what is the proton's average acceleration a in unit vector notation, (b) in magnitude, and\nthe angle between a and the positive direction of the x axis?\navg\n(a) Number i 11.8\n(b) Number i\n(c) Number\ni\nî+\nUnits\nUnits\ni\n19.6\nk Units\nm/s"},{"questionUrl":{"href":"/questions-and-answers/an-ions-position-vector-is-initially-7-9.1-2.4-m-i-7.4-7-number-i-1-m-i-i-9.9-m-7.4-m-6.5-m-.-in-10-/d9dc340a-ede5-408b-af1f-56e068e93048"},"questioText":"Number\nAn ion's position vector is initially\n7 = (2.4 m )î + (−7.4 m )3 + (6.5 m ). In unit-vector notation, what is its average velocity during the 6.7 s?\n)ĵ\ni 1\n+\n=\n9.1 m\n)i + (−9.9 m )ĵ + (−10 m )k,\n) + (-10 m ), and 6.7 s later it is\n-0.37313433\nĴ\n+\nMI\n-2.46268657\nk Units m/s"},{"questionUrl":{"href":"/questions-and-answers/during-a-4.65-s-interval-a-particles-coordinates-change-from-x-10.9m-y-5.25m-to-x-29.7m-y-5.25-m.-as/dc804cfa-1633-4292-9a1d-6c8fda6fd9da"},"questioText":"During a 4.65 s interval, a particles coordinates change from x = 10.9m, y = 5.25m to x = 29.7m, y = - 5.25 m. Assuming the particle's velocity is constant, what will its coordinates be at the end of the next 4.65 s interval?"},{"questionUrl":{"href":"/questions-and-answers/car-a-is-traveling-on-a-highway-at-a-constant-speed.-initial-velocity-a-80-mih-and-is-380-ft-from-th/dfba1b6b-8f2a-440d-9317-92f3bf15ab1a"},"questioText":"Car A is traveling on a highway at a constant speed. Initial velocity A = 80 mi/h and is 380 ft from the entrance of an on-ramp when car B enters the acceleration lane at that point at a speedInitial speed B = 20.0 mi/h. Car B accelerates uniformly and enters the main traffic lane after traveling 290 ft in 3.3 s. It then continues to accelerate at the same rate until it reaches a speed of 80 mi/h, which it maintains. Determine the final distance between the two cars (in ft)."},{"questionUrl":{"href":"/questions-and-answers/given-the-position-vector-~rt-t2itj-in-meters-what-is-the-magnitude-of-the-velocity-vector-at-a-time/e1beedbe-bec9-4c79-8f94-e2f9864c7b2e"},"questioText":"Given the position vector ~r(t) = t^2ˆi+tˆj in meters, what is the magnitudeof the velocity vector at a time of three seconds?"},{"questionUrl":{"href":"/questions-and-answers/if-the-initial-velocity-vector-of-a-particle-is-vo-8i-2j-ms-and-after-time-t-5-s-its-v-2i-6j-msthen-/e3922fa6-8b49-4cce-873b-b6454f53fbb3"},"questioText":"If the initial velocity vector of a particle is vo 8i - 2j m/s, and after time t 5 s its v 2i+ 6j m/s,then find the acceleration vector a (in m/)."},{"questionUrl":{"href":"/questions-and-answers/a-miniature-quadcopter-is-located-at-x-2.25-m-and-y-2.70-m-at-t-0-and-moves-with-an-average-velocity/e6e06dd8-fed5-45a8-a5de-81873c471c76"},"questioText":"Physics\nA miniature quadcopter is located at x, = 2.25 m and y,\n=-2.70 m at t = 0 and moves with an average velocity\nhaving components Yav, x = 1.70 m/s and Yav, y =-2.50\nm/s. What are the x-\ncoordinate and y-coordinate (in m) of the quadcopter's\nposition at t = 1.60 s?\nx-coordinate =\ny-coordinate =\nPlease help! Thank you in advance!"},{"questionUrl":{"href":"/questions-and-answers/given-an-acceleration-vector-initial-velocity-uo.vo-and-initial-position-xg.yo-find-the-velocity-and/eb1a1a7b-d9d7-4d16-8bf6-8a05bb05df08"},"questioText":"IT.0.0a\nGiven an acceleration vector, initial velocity (uo.Vo), and initial position {xo.yo}, find the velocity and position vectors for t2 0.\na(t) = (cos t,5 sin t. (Uo Vo) = (0,5) , (Xo.Yo) = (2.0)\nWhat is the velc\n| vector?\nv(t) ="},{"questionUrl":{"href":"/questions-and-answers/a-particle-leaves-the-origin-with-an-initial-velocity-v-3.611-ms-and-a-constant-acceleration-a-1.84i/eba530ca-c4cc-4bef-9fb8-4164fa513e73"},"questioText":"A particle leaves the origin with an initial velocity = (3.61î) m/s and a constant acceleration\nWhen the particle reaches its maximum x coordinate, what are (a) its velocity, (b) its position vector?\n=\n( – 1.84î – 3.827) m/s²"},{"questionUrl":{"href":"/questions-and-answers/a-particle-moves-in-a-horizontal-z-y-plane-with-a-position-vector-given-by-r-at-bt-where-this-time-i/ed908025-1778-435d-a41b-ffbcdd942c0b"},"questioText":"A particle moves in a horizontal z-y plane with a position vector given\nby\nr = (At³, Bt²)\nwhere t is time in seconds (s) and A and B are constants with values of\nA = 3.0 m s-5 and B = 2.0 m s-².\n(a) Find the acceleration vector a in terms of A, B and t.\n(b)\nUse your answer to part (a) to find the magnitude of the\nacceleration of the particle at time t = 0.50 s."},{"questionUrl":{"href":"/questions-and-answers/taking-north-to-be-the-positiveydirection-and-east-to-be-the-positivexdirection-particles-position-i/f9185cf7-cdde-4c96-be4b-6613e941785c"},"questioText":"Taking north to be the positive y direction and east to be the positive x direction, particle’s position is given by r(t) = [(45.1 m/s)t]i + [(7.37 m)t2]j. At what time, in seconds, is the particle traveling directly northeast?"}],"gtmPageLocation":{"name":"Knowledge Booster"},"newlyPublishedQnaZippies":[]},"stickyHeaderProps":{"text":"Suppose the position vector for a particle is given as a function of time by r(t)=x(t)i^+y(t)j^, with x(t)=at+b and y(t)=ct2+d, where a=1.00m/s,b=1.00m,c=0.125m/s2, and d=1.00m. (a) Calculate the average velocity during the time interval from t=2.00s to t=4.00s. 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What is the volume of the...","textPrefix":" 28P","href":"/solution-answer/chapter-1-problem-28p-college-physics-11th-edition/9781305952300/a-house-is-500-ft-long-and-26-ft-wide-and-has-80-ft-high-ceilings-what-is-the-volume-of-the/c7077036-98d6-11e8-ada4-0ee91056875a","value":"43","children":[]},{"text":"The amount of water in reservoirs is often measured in acre-ft. One acre-ft is a volume that covers...","textPrefix":" 29P","href":"/solution-answer/chapter-1-problem-29p-college-physics-11th-edition/9781305952300/the-amount-of-water-in-reservoirs-is-often-measured-in-acre-ft-one-acre-ft-is-a-volume-that-covers/32a8879d-98d6-11e8-ada4-0ee91056875a","value":"44","children":[]},{"text":"The base of a pyramid covers an area of 13.0 acres (1 acre = 43 560 ft2) and has a height of 481 ft...","textPrefix":" 30P","href":"/solution-answer/chapter-1-problem-30p-college-physics-11th-edition/9781305952300/the-base-of-a-pyramid-covers-an-area-of-130-acres-1-acre-43-560-ft2-and-has-a-height-of-481-ft/8ca6eded-98d5-11e8-ada4-0ee91056875a","value":"45","children":[]},{"text":"A quart container of ice cream is to be made in the form of a cube. What should be the length of a...","textPrefix":" 31P","href":"/solution-answer/chapter-1-problem-31p-college-physics-11th-edition/9781305952300/a-quart-container-of-ice-cream-is-to-be-made-in-the-form-of-a-cube-what-should-be-the-length-of-a/b38961db-98d4-11e8-ada4-0ee91056875a","value":"46","children":[]},{"text":"Estimate the number of steps you would have to take to walk a distance equal to the circumference of...","textPrefix":" 32P","href":"/solution-answer/chapter-1-problem-32p-college-physics-11th-edition/9781305952300/estimate-the-number-of-steps-you-would-have-to-take-to-walk-a-distance-equal-to-the-circumference-of/4d95af55-98d7-11e8-ada4-0ee91056875a","value":"47","children":[]},{"text":"Estimate the number of breaths taken by a human being during an average lifetime.","textPrefix":" 33P","href":"/solution-answer/chapter-1-problem-33p-college-physics-11th-edition/9781305952300/estimate-the-number-of-breaths-taken-by-a-human-being-during-an-average-lifetime/cb5374f5-98d6-11e8-ada4-0ee91056875a","value":"48","children":[]},{"text":"Estimate the number of people in the world who are suffering from the common cold on any given day....","textPrefix":" 34P","href":"/solution-answer/chapter-1-problem-34p-college-physics-11th-edition/9781305952300/estimate-the-number-of-people-in-the-world-who-are-suffering-from-the-common-cold-on-any-given-day/4e29be4e-98d7-11e8-ada4-0ee91056875a","value":"49","children":[]},{"text":"The habitable part of Earths surface has been estimated to cover 60 trillion square meters. Estimate...","textPrefix":" 35P","href":"/solution-answer/chapter-1-problem-35p-college-physics-11th-edition/9781305952300/the-habitable-part-of-earths-surface-has-been-estimated-to-cover-60-trillion-square-meters-estimate/2dea1193-98d6-11e8-ada4-0ee91056875a","value":"50","children":[]},{"text":"Treat a cell in a human as a sphere of radius 1.0 m. (a) Determine the volume of a cell. (b)...","textPrefix":" 36P","href":"/solution-answer/chapter-1-problem-36p-college-physics-11th-edition/9781305952300/treat-a-cell-in-a-human-as-a-sphere-of-radius-10-m-a-determine-the-volume-of-a-cell-b/4a3b89c5-98d7-11e8-ada4-0ee91056875a","value":"51","children":[]},{"text":"An automobile tire is rated to last for 50 000 miles. Estimate the number of revolutions the tire...","textPrefix":" 37P","href":"/solution-answer/chapter-1-problem-37p-college-physics-11th-edition/9781305952300/an-automobile-tire-is-rated-to-last-for-50-000-miles-estimate-the-number-of-revolutions-the-tire/e25e46e2-98d5-11e8-ada4-0ee91056875a","value":"52","children":[]},{"text":"A study from the National Institutes of Health stales that the human body contains trillions of...","textPrefix":" 38P","href":"/solution-answer/chapter-1-problem-38p-college-physics-11th-edition/9781305952300/a-study-from-the-national-institutes-of-health-stales-that-the-human-body-contains-trillions-of/8e972f3f-98d5-11e8-ada4-0ee91056875a","value":"53","children":[]},{"text":"A point is located in a polar coordinate system by the coordinates r = 2.5 m and = 35. Find the x-...","textPrefix":" 39P","href":"/solution-answer/chapter-1-problem-39p-college-physics-11th-edition/9781305952300/a-point-is-located-in-a-polar-coordinate-system-by-the-coordinates-r-25-m-and-35-find-the-x/3e0a239b-98d7-11e8-ada4-0ee91056875a","value":"54","children":[]},{"text":"A certain corner of a room is selected as the origin of a rectangular coordinate system. If a fly is...","textPrefix":" 40P","href":"/solution-answer/chapter-1-problem-40p-college-physics-11th-edition/9781305952300/a-certain-corner-of-a-room-is-selected-as-the-origin-of-a-rectangular-coordinate-system-if-a-fly-is/2fdd84c4-98d6-11e8-ada4-0ee91056875a","value":"55","children":[]},{"text":"Express the location of the fly in Problem 40 in polar coordinates.","textPrefix":" 41P","href":"/solution-answer/chapter-1-problem-41p-college-physics-11th-edition/9781305952300/express-the-location-of-the-fly-in-problem-40-in-polar-coordinates/c95fb673-98d6-11e8-ada4-0ee91056875a","value":"56","children":[]},{"text":"Two points in a rectangular coordinate system have the coordinates (5.0, 3.0) and (3.0, 4.0), where...","textPrefix":" 42P","href":"/solution-answer/chapter-1-problem-42p-college-physics-11th-edition/9781305952300/two-points-in-a-rectangular-coordinate-system-have-the-coordinates-50-30-and-30-40-where/c4d20bdc-98d4-11e8-ada4-0ee91056875a","value":"57","children":[]},{"text":"Two points are given in polar coordinates by (r, ) = (2.00 m, 50.0) and (r, ) = (5.00 m, 50.0),...","textPrefix":" 43P","href":"/solution-answer/chapter-1-problem-43p-college-physics-11th-edition/9781305952300/two-points-are-given-in-polar-coordinates-by-r-200-m-500-and-r-500-m-500/37c538a2-98d6-11e8-ada4-0ee91056875a","value":"58","children":[]},{"text":"Given points (r1, 1) and (r2, 2) in polar coordinates, obtain a general formula for the distance...","textPrefix":" 44P","href":"/solution-answer/chapter-1-problem-44p-college-physics-11th-edition/9781305952300/given-points-r1-1-and-r2-2-in-polar-coordinates-obtain-a-general-formula-for-the-distance/38c6e8da-98d6-11e8-ada4-0ee91056875a","value":"59","children":[]},{"text":"For the triangle shown in Figure P1.45, what are (a) the length of the unknown side, (b) the tangent...","textPrefix":" 45P","href":"/solution-answer/chapter-1-problem-45p-college-physics-11th-edition/9781305952300/for-the-triangle-shown-in-figure-p145-what-are-a-the-length-of-the-unknown-side-b-the-tangent/d41eaed0-98d4-11e8-ada4-0ee91056875a","value":"60","children":[]},{"text":"A ladder 9.00 m long leans against the side of a building. If the ladder is inclined at an angle of...","textPrefix":" 46P","href":"/solution-answer/chapter-1-problem-46p-college-physics-11th-edition/9781305952300/a-ladder-900-m-long-leans-against-the-side-of-a-building-if-the-ladder-is-inclined-at-an-angle-of/d672bdbf-98d4-11e8-ada4-0ee91056875a","value":"61","children":[]},{"text":"A high fountain of water is located at the center of a circular pool as shown in Figure P1.47. Not...","textPrefix":" 47P","href":"/solution-answer/chapter-1-problem-47p-college-physics-11th-edition/9781305952300/a-high-fountain-of-water-is-located-at-the-center-of-a-circular-pool-as-shown-in-figure-p147-not/91076f4f-98d5-11e8-ada4-0ee91056875a","value":"62","children":[]},{"text":"A right triangle has a hypotenuse of length 3.00 m, and one of its angles is 30.0. What are the...","textPrefix":" 48P","href":"/solution-answer/chapter-1-problem-48p-college-physics-11th-edition/9781305952300/a-right-triangle-has-a-hypotenuse-of-length-300-m-and-one-of-its-angles-is-300-what-are-the/e4a1cdae-98d5-11e8-ada4-0ee91056875a","value":"63","children":[]},{"text":"In Figure P1.49, find (a) the side opposite , (b) the side adjacent to . (c) cos , (d) sin , and (c)...","textPrefix":" 49P","href":"/solution-answer/chapter-1-problem-49p-college-physics-11th-edition/9781305952300/in-figure-p149-find-a-the-side-opposite-b-the-side-adjacent-to-c-cos-d-sin-and-c/deece28c-98d5-11e8-ada4-0ee91056875a","value":"64","children":[]},{"text":"In a certain right triangle, the two sides that are perpendicular to each other are 5.00 m and 7.00...","textPrefix":" 50P","href":"/solution-answer/chapter-1-problem-50p-college-physics-11th-edition/9781305952300/in-a-certain-right-triangle-the-two-sides-that-are-perpendicular-to-each-other-are-500-m-and-700/4a8282de-98d7-11e8-ada4-0ee91056875a","value":"65","children":[]},{"text":"In Problem 50, what is the tangent of the angle for which 5.00 in is the opposite side?","textPrefix":" 51P","href":"/solution-answer/chapter-1-problem-51p-college-physics-11th-edition/9781305952300/in-problem-50-what-is-the-tangent-of-the-angle-for-which-500-in-is-the-opposite-side/c7c43f67-98d4-11e8-ada4-0ee91056875a","value":"66","children":[]},{"text":"A woman measures the angle of elevation of a mountaintop as 12.0. After walking 1.00 km closer to...","textPrefix":" 52P","href":"/solution-answer/chapter-1-problem-52p-college-physics-11th-edition/9781305952300/a-woman-measures-the-angle-of-elevation-of-a-mountaintop-as-120-after-walking-100-km-closer-to/e6da70a9-98d5-11e8-ada4-0ee91056875a","value":"67","children":[]},{"text":"A surveyor measures the distance across a straight river by the following method: starting directly...","textPrefix":" 53P","href":"/solution-answer/chapter-1-problem-53p-college-physics-11th-edition/9781305952300/a-surveyor-measures-the-distance-across-a-straight-river-by-the-following-method-starting-directly/da354e5f-98d4-11e8-ada4-0ee91056875a","value":"68","children":[]},{"text":"Vector A has a magnitude of 8.00 units and makes an angle of 45.0 with the positive x-axis. Vector B...","textPrefix":" 54P","href":"/solution-answer/chapter-1-problem-54p-college-physics-11th-edition/9781305952300/vector-a-has-a-magnitude-of-800-units-and-makes-an-angle-of-450-with-the-positive-x-axis-vector-b/539616df-98d7-11e8-ada4-0ee91056875a","value":"69","children":[]},{"text":"Vector A has a magnitude of 29 units and points in the positive y-direction. When vector B is added...","textPrefix":" 55P","href":"/solution-answer/chapter-1-problem-55p-college-physics-11th-edition/9781305952300/vector-a-has-a-magnitude-of-29-units-and-points-in-the-positive-y-direction-when-vector-b-is-added/c9d6e628-98d6-11e8-ada4-0ee91056875a","value":"70","children":[]},{"text":"An airplane flies 2.00 102 km due west from city A to city B and then 3.00 102 km in the direction...","textPrefix":" 56P","href":"/solution-answer/chapter-1-problem-56p-college-physics-11th-edition/9781305952300/an-airplane-flies-200-102-km-due-west-from-city-a-to-city-b-and-then-300-102-km-in-the-direction/8f72831b-98d5-11e8-ada4-0ee91056875a","value":"71","children":[]},{"text":"Vector A is 3.00 units in length and points along the positive x-axis. Vector B is 4.00 units in...","textPrefix":" 57P","href":"/solution-answer/chapter-1-problem-57p-college-physics-11th-edition/9781305952300/vector-a-is-300-units-in-length-and-points-along-the-positive-x-axis-vector-b-is-400-units-in/c4b0d731-98d4-11e8-ada4-0ee91056875a","value":"72","children":[]},{"text":"A force F1, of magnitude 6.00 units acts on an object at the origin in a direction = 30.0 above the...","textPrefix":" 58P","href":"/solution-answer/chapter-1-problem-58p-college-physics-11th-edition/9781305952300/a-force-f1-of-magnitude-600-units-acts-on-an-object-at-the-origin-in-a-direction-300-above-the/8b592873-98d5-11e8-ada4-0ee91056875a","value":"73","children":[]},{"text":"A roller coaster moves 2.00 102 ft horizontally and then rises 135 ft at an angle of 30.0 above the...","textPrefix":" 59P","href":"/solution-answer/chapter-1-problem-59p-college-physics-11th-edition/9781305952300/a-roller-coaster-moves-200-102-ft-horizontally-and-then-rises-135-ft-at-an-angle-of-300-above-the/d3b5cb74-98d5-11e8-ada4-0ee91056875a","value":"74","children":[]},{"text":"Calculate (a) the x-component and (b) the y-component of the vector with magnitude 24.0 m and...","textPrefix":" 60P","href":"/solution-answer/chapter-1-problem-60p-college-physics-11th-edition/9781305952300/calculate-a-the-x-component-and-b-the-y-component-of-the-vector-with-magnitude-240-m-and/d7ebb6ec-98d4-11e8-ada4-0ee91056875a","value":"75","children":[]},{"text":"A vector A has components Ax = 5.00 m and Ay = 9.00 m. Find (a) the magnitude and (b) the direction...","textPrefix":" 61P","href":"/solution-answer/chapter-1-problem-61p-college-physics-11th-edition/9781305952300/a-vector-a-has-components-ax-500-m-and-ay-900-m-find-a-the-magnitude-and-b-the-direction/91561fe9-98d5-11e8-ada4-0ee91056875a","value":"76","children":[]},{"text":"A person walks 25.0 north of east for 3.10 km. How far due north and how far due east would she have...","textPrefix":" 62P","href":"/solution-answer/chapter-1-problem-62p-college-physics-11th-edition/9781305952300/a-person-walks-250-north-of-east-for-310-km-how-far-due-north-and-how-far-due-east-would-she-have/514e3934-98d7-11e8-ada4-0ee91056875a","value":"77","children":[]},{"text":"The magnitude of vector A is 35.0 units and points in the direction 325 counterclockwise from the...","textPrefix":" 63P","href":"/solution-answer/chapter-1-problem-63p-college-physics-11th-edition/9781305952300/the-magnitude-of-vector-a-is-350-units-and-points-in-the-direction-325-counterclockwise-from-the/f1edfb5f-98d5-11e8-ada4-0ee91056875a","value":"78","children":[]},{"text":"A figure skater glides along a circular path of radius 5.00 m. If she coasts around one half of the...","textPrefix":" 64P","href":"/solution-answer/chapter-1-problem-64p-college-physics-11th-edition/9781305952300/a-figure-skater-glides-along-a-circular-path-of-radius-500-m-if-she-coasts-around-one-half-of-the/92d495f0-98d5-11e8-ada4-0ee91056875a","value":"79","children":[]},{"text":"A girl delivering newspapers covers her route by traveling 3.00 blocks west, 4.00 blocks north, and...","textPrefix":" 65P","href":"/solution-answer/chapter-1-problem-65p-college-physics-11th-edition/9781305952300/a-girl-delivering-newspapers-covers-her-route-by-traveling-300-blocks-west-400-blocks-north-and/52f7efa7-98d7-11e8-ada4-0ee91056875a","value":"80","children":[]},{"text":"A quarterback takes the ball from the line of scrimmage, runs backwards for 10.0 yards, and then...","textPrefix":" 66P","href":"/solution-answer/chapter-1-problem-66p-college-physics-11th-edition/9781305952300/a-quarterback-takes-the-ball-from-the-line-of-scrimmage-runs-backwards-for-100-yards-and-then/da65b215-98d4-11e8-ada4-0ee91056875a","value":"81","children":[]},{"text":"A vector has an x-component of 25.0 units and a y-component of 40.0 units. Find the magnitude and...","textPrefix":" 67P","href":"/solution-answer/chapter-1-problem-67p-college-physics-11th-edition/9781305952300/a-vector-has-an-x-component-of-250-units-and-a-y-component-of-400-units-find-the-magnitude-and/55720786-98d7-11e8-ada4-0ee91056875a","value":"82","children":[]},{"text":"A map suggests that Atlanta is 730. miles in a direction 5.00 north of east from Dallas. The same...","textPrefix":" 68P","href":"/solution-answer/chapter-1-problem-68p-college-physics-11th-edition/9781305952300/a-map-suggests-that-atlanta-is-730-miles-in-a-direction-500-north-of-east-from-dallas-the-same/cbe50596-98d6-11e8-ada4-0ee91056875a","value":"83","children":[]},{"text":"The eye of a hurricane passes over Grand Bahama Island in a direction 60.0 north of west with a...","textPrefix":" 69P","href":"/solution-answer/chapter-1-problem-69p-college-physics-11th-edition/9781305952300/the-eye-of-a-hurricane-passes-over-grand-bahama-island-in-a-direction-600-north-of-west-with-a/8fdf0422-98d5-11e8-ada4-0ee91056875a","value":"84","children":[]},{"text":"The helicopter view in Figure P1.70 shows two people pulling on a stubborn mule. Find (a) the single...","textPrefix":" 70P","href":"/solution-answer/chapter-1-problem-70p-college-physics-11th-edition/9781305952300/the-helicopter-view-in-figure-p170-shows-two-people-pulling-on-a-stubborn-mule-find-a-the-single/68a721d4-98d7-11e8-ada4-0ee91056875a","value":"85","children":[]},{"text":"A commuter airplane starts from an airport and takes the route shown in Figure P1.71. The plane...","textPrefix":" 71P","href":"/solution-answer/chapter-1-problem-71p-college-physics-11th-edition/9781305952300/a-commuter-airplane-starts-from-an-airport-and-takes-the-route-shown-in-figure-p171-the-plane/cfda359b-98d6-11e8-ada4-0ee91056875a","value":"86","children":[]},{"text":"(a) Find a conversion factor to convert from miles per hour to kilometers per hour. (b) For a while,...","textPrefix":" 72AP","href":"/solution-answer/chapter-1-problem-72ap-college-physics-11th-edition/9781305952300/a-find-a-conversion-factor-to-convert-from-miles-per-hour-to-kilometers-per-hour-b-for-a-while/e4dcc51f-98d5-11e8-ada4-0ee91056875a","value":"87","children":[]},{"text":"The displacement of an object moving under uniform acceleration is some function of time and the...","textPrefix":" 73AP","href":"/solution-answer/chapter-1-problem-73ap-college-physics-11th-edition/9781305952300/the-displacement-of-an-object-moving-under-uniform-acceleration-is-some-function-of-time-and-the/53ee954f-98d7-11e8-ada4-0ee91056875a","value":"88","children":[]},{"text":"Assume it takes 7.00 minutes to fill a 30.0-gal gasoline tank. (a) Calculate the rate at which the...","textPrefix":" 74AP","href":"/solution-answer/chapter-1-problem-74ap-college-physics-11th-edition/9781305952300/assume-it-takes-700-minutes-to-fill-a-300-gal-gasoline-tank-a-calculate-the-rate-at-which-the/f17fefa3-98d5-11e8-ada4-0ee91056875a","value":"89","children":[]},{"text":"One gallon of paint (volume = 3.79 103 m3) covers an area of 25.0 m2. What is the thickness of the...","textPrefix":" 75AP","href":"/solution-answer/chapter-1-problem-75ap-college-physics-11th-edition/9781305952300/one-gallon-of-paint-volume-379-103-m3-covers-an-area-of-250-m2-what-is-the-thickness-of-the/dadf83d3-98d4-11e8-ada4-0ee91056875a","value":"90","children":[]},{"text":"A sphere of radius r has surface area A = 4r2 and volume V = (4/3)r3. If the radius of sphere 2 is...","textPrefix":" 76AP","href":"/solution-answer/chapter-1-problem-76ap-college-physics-11th-edition/9781305952300/a-sphere-of-radius-r-has-surface-area-a-4r2-and-volume-v-43r3-if-the-radius-of-sphere-2-is/8e6f9b62-98d5-11e8-ada4-0ee91056875a","value":"91","children":[]},{"text":"Assume there are 100 million passenger can in the United States and that the average fuel...","textPrefix":" 77AP","href":"/solution-answer/chapter-1-problem-77ap-college-physics-11th-edition/9781305952300/assume-there-are-100-million-passenger-can-in-the-united-states-and-that-the-average-fuel/3a3a1c4b-98d6-11e8-ada4-0ee91056875a","value":"92","children":[]},{"text":"","textPrefix":" 78AP","href":"/solution-answer/chapter-1-problem-78ap-college-physics-11th-edition/9781305952300/dff7ac69-98d4-11e8-ada4-0ee91056875a","value":"93","children":[]},{"text":"An average person sneezes about three times per day. Estimate the worldwide number of sneezes...","textPrefix":" 80AP","href":"/solution-answer/chapter-1-problem-80ap-college-physics-11th-edition/9781305952300/an-average-person-sneezes-about-three-times-per-day-estimate-the-worldwide-number-of-sneezes/9547ec87-98d5-11e8-ada4-0ee91056875a","value":"94","children":[]},{"text":"The nearest neutron star (a collated star made primarily of neutrons) is about 3.00 1018 m away...","textPrefix":" 81AP","href":"/solution-answer/chapter-1-problem-81ap-college-physics-11th-edition/9781305952300/the-nearest-neutron-star-a-collated-star-made-primarily-of-neutrons-is-about-300-1018-m-away/ce8a1453-98d6-11e8-ada4-0ee91056875a","value":"95","children":[]}],"defaultChildValue":"0"}},"similarTextnooksHref":"/subject/science/physics/textbook-answers","qnaZippiesProps":{"headerProps":{"title":"Related questions","iconUrl":"/static/compass_v2/leftrail/relatedQuestions.svg","iconWidth":"12px","iconHeight":"14px","iconAlt":"","iconBackgroundColor":"#D8199E","buttonAriaProps":{"aria-label":"open related questions","aria-controls":"related-question-panel","id":"related-question-left-rail"}},"zippies":[{"question":"A squirrel has x- and y- coordinates (-2.0m, 4.2 m) at time t = 0 and coordinates (4.4 m, -1.8 m) at…","answer":"","href":"/questions-and-answers/a-squirrel-has-x-and-y-coordinates-2.0m-4.2-m-at-time-t-0-and-coordinates-4.4-m-1.8-m-at-t2-4.0s.-wh/01c50279-d146-42de-9518-d61cde138239"},{"question":"particle leaves the origin with an initial velocity v =\n(5.84i) m/s and a constant acceleration\n= (–…","answer":"If a quantity has maximum value ,it's first differentiation must be zero and second differentiation…","href":"/questions-and-answers/particle-leaves-the-origin-with-an-initial-velocity-v-5.84i-ms-and-a-constant-acceleration-3.80i-2.2/01de2d02-9573-4a78-99e0-acf98bee6eb7"},{"question":"A squirrel has x- and y- coordinates (-2.0 m, 4.2 m) at time t = 0 and coordinates (4.4 m, -1.8 m)…","answer":"Given\nCoordinates at t=0 sec are (-2.0 m, 4.2 m)\nCoordinates at t=4 sec are (4.4 m, -1.8 m)","href":"/questions-and-answers/a-squirrel-has-x-and-y-coordinates-2.0-m-4.2-m-at-time-t-0-and-coordinates-4.4-m-1.8-m-at-t-4.0s.-wh/089e7149-2cf8-44e9-99af-386db2a434ed"},{"question":"Suppose the position vector for a particle is given as a function of time by r(t) = x(t)î + y(t)j,…","answer":"","href":"/questions-and-answers/suppose-the-position-vector-for-a-particle-is-given-as-a-function-of-time-by-rt-xti-ytj-with-xt-at-b/0ee5ebdb-653d-4d0f-9546-c2f49c7ffdfc"},{"question":"moderate wind accelerates a pebble over a horizontal xy plane with a constant acceleration a = (4.07…","answer":"","href":"/questions-and-answers/moderate-wind-accelerates-a-pebble-over-a-horizontal-xy-plane-with-a-constant-acceleration-a-4.07-8./13483f95-8c74-4b63-908d-ea79feeb3a2f"},{"question":"The velocity of a particle at any time t moving along an x-axis is given by the following equation:…","answer":"Solution: To be given in question\n Velocity (v) = 3t²-8t +3\n t=0 to t= 4…","href":"/questions-and-answers/the-velocity-of-a-particle-at-any-time-t-moving-along-an-x-axis-is-given-by-the-following-equation-v/18758321-986c-4764-ab03-7cd7a13ebc82"},{"question":"Problem 1: An object is thrown off the top of a 6.2-m tall building with a velocity\nof 2.9 m/s at an…","answer":"When an object is thrown obliquely near the Earth's surface, it moves in a curved path. The object…","href":"/questions-and-answers/problem-1-an-object-is-thrown-off-the-top-of-a-6.2-m-tall-building-with-a-velocity-of-2.9-ms-at-an-a/29b6a432-18f1-4699-83f8-47ce4b1b1c21"},{"question":"A stuntman sitting on a tree limb wishes to drop vertically onto a horse galloping under the tree.…","answer":"Consider that the horizontal motion of the horse is along the x-axis and the vertical motion of the…","href":"/questions-and-answers/a-stuntman-sitting-on-a-tree-limb-wishes-to-drop-vertically-onto-a-horse-galloping-under-the-tree.-t/2f2335a5-2e44-4bb4-9efe-6e316f796e8f"},{"question":"Suppose the position vector for a particle is given as a function of time by r(t) = x(t)î + y(t)ĵ,…","answer":"","href":"/questions-and-answers/suppose-the-position-vector-for-a-particle-is-given-as-a-function-of-time-by-rt-xti-yt-with-xt-at-b-/3293acc3-265e-4ecf-9177-14261bc96f38"},{"question":"A particle moving along a straight line decelerates according to a = -kv, where k is a constant and…","answer":"","href":"/questions-and-answers/a-particle-moving-along-a-straight-line-decelerates-according-to-a-kv-where-k-is-a-constant-and-v-is/362d9446-eb14-4faa-8b96-d79c4247013c"},{"question":"Suppose the position vector for a particle is given as a function of time by r(t) = x(t)i + y(t)ĵ,…","answer":"","href":"/questions-and-answers/suppose-the-position-vector-for-a-particle-is-given-as-a-function-of-time-by-rt-xti-yt-with-xt-at-b-/3c32ca19-d4c0-47f0-80d2-f0c4f7f1e8dc"},{"question":"Question 2: A particle has the following position vector\n7 = Ae-ati + Bt³}+Ct²k\nwhere A, a, B, and C…","answer":"Given,\nr→=A e-αti^ +B t3j^+C t2 k^","href":"/questions-and-answers/question-2-a-particle-has-the-following-position-vector-7-ae-ati-btctk-where-a-a-b-and-c-are-positiv/3e36bc13-b803-4454-bbcc-34ac34f4ad47"},{"question":"Suppose the position vector for a particle is given as a function of time by F(c) =…","answer":"","href":"/questions-and-answers/suppose-the-position-vector-for-a-particle-is-given-as-a-function-of-time-by-fc-xtiytwithxtatb-and-y/416bc87d-b33b-46f2-80ac-d52621cc73de"},{"question":"At time t 0, a particle is at rest in the x-y plane at the coordinates (xo, Yo) = (3, 0) in. If the…","answer":"At time t=0, the x0, y0 coordinates are (3,0). \nThe horizontal acceleration is ax=0.62-0.33t…","href":"/questions-and-answers/at-time-t-0-a-particle-is-at-rest-in-the-x-y-plane-at-the-coordinates-xo-yo-3-0-in.-if-the-particle-/48b4c127-6b69-4ab8-9398-77cc7029262a"},{"question":"Question 2: A particle has the following position vector\n7 = Ae-ati + Bt³3+ Ct²k\nwhere A, a, B, and…","answer":"Position vector of the particle is,\nr→=Ae-αti^+Bt3j^+Ct2k^\nVelocity is the rate of change of…","href":"/questions-and-answers/question-2-a-particle-has-the-following-position-vector-7-ae-ati-bt3-ctk-where-a-a-b-and-c-are-posit/49f01c2b-4b67-4058-9899-1cbe77e984d5"},{"question":"A speedboat moves on a lake with initial velocity vector ?1,?=8.81 m/sv1,x=8.81 m/s and ?1,?=−2.45…","answer":"Given,\nThe initial speed of the speedboat, \nv1x = 8.81 msv1 = -2.45 ms\nTime, t = 6.63 s…","href":"/questions-and-answers/a-speedboat-moves-on-a-lake-with-initial-velocity-vector18.81msv1x8.81msand12.45msv1y2.45ms-then-acc/51ee6200-6153-4457-8aec-2577b0a0417f"},{"question":"A particle leaves the origin with an initial velocity = (7.83î) m/s and a constant acceleration à =…","answer":"","href":"/questions-and-answers/a-particle-leaves-the-origin-with-an-initial-velocity-7.83i-ms-and-a-constant-acceleration-a-1.38i-2/56edfee8-a745-4e6a-a91a-a1b078779aaa"},{"question":"A particle starts from the origin at t = 0 s with a\nvelocity of 10 , m/s and moves in the r – y…","answer":"","href":"/questions-and-answers/a-particle-starts-from-the-origin-at-t-0-s-with-a-velocity-of-10-ms-and-moves-in-the-r-y-plane-with-/57a88686-5d10-46ce-a049-01881daabe81"},{"question":"A particle acceleration is given by a(t) = At2 + Bt − C where A, B, and C are constants. At t = 0,…","answer":"The particle's acceleration function is given as,\nat=At2+Bt-C\nThe initial boundary condition is…","href":"/questions-and-answers/a-particle-acceleration-is-given-by-at-at2-bt-c-where-a-b-and-c-are-constants.-at-t-0-the-particle-s/5c861b43-32b7-4d5c-a841-4407872badbd"},{"question":"1. A particle initially located at the origin has a constant acceleration of\na = 3.00j m/s and an…","answer":"Given data\nThe magnitude of the constant acceleration is a = 3 j m/s2\nThe initial velocity of the…","href":"/questions-and-answers/1.-a-particle-initially-located-at-the-origin-has-a-constant-acceleration-of-a-3.00j-ms-and-an-initi/603d4683-0334-461a-bf21-d53c5cba87a1"},{"question":"The acceleration of a particle moving only on a horizontal xy plane is given by a = 2tî + 3t), where…","answer":"","href":"/questions-and-answers/the-acceleration-of-a-particle-moving-only-on-a-horizontal-xy-plane-is-given-by-a-2ti-3t-where-a-is-/6323b717-25e7-4c51-9d84-a3ef975392e1"},{"question":"A particle leaves the origin with an initial velocity of ( 2.40 m/s ) x^ , and moves with constant…","answer":"","href":"/questions-and-answers/a-particle-leaves-the-origin-with-an-initial-velocity-of-2.40-ms-x-and-moves-with-constant-accelerat/63360b41-72a9-4eb3-b47c-b4ea0b64be45"},{"question":"Particle is moving on a straight line and where velocity varies with its displacement as\nv = V4+4s.…","answer":"Particle is moving on a straight line and velocity varies with time as v=4+4s","href":"/questions-and-answers/particle-is-moving-on-a-straight-line-and-where-velocity-varies-with-its-displacement-as-v-v44s.-fin/63c42faf-4f4a-4aa8-9e49-49b72ccb1063"},{"question":"The position of a particle moving along the x axis is given by x(t) = (4.99 m) - (3.83 m/s)t.\n\nWhat…","answer":"Let us calculate the positions of a given particle at different intervals, as shown below.\nx(t) at…","href":"/questions-and-answers/the-position-of-a-particle-moving-along-thexaxis-is-given-byxt-4.99m-3.83mst.-what-is-the-displaceme/6cf5c546-934c-484c-aada-b6cba2ae665a"},{"question":"The position of a particle moving along the x-axis is given by s(t)=(5.8 m) -(3.06 m/s)t.\n\nWhat ist…","answer":"Given data: \nPosition of particle \ns(t)=(5.8 m) -(3.06 m/s)t\nRequired:\nThe displacement of the…","href":"/questions-and-answers/the-position-of-a-particle-moving-along-the-x-axis-is-given-by-st5.8-m-3.06-mst.-what-ist-he-displac/719b8c44-0b76-4cfd-b386-29c901416ab3"},{"question":"A particle moves along with acceleration a = 3 m/s^2 along x – axis and has a velocity v = -1 m/s at…","answer":"","href":"/questions-and-answers/a-particle-moves-along-with-acceleration-a-3-ms2-along-x-axis-and-has-a-velocity-v-1-ms-at-time-t-0./72babc5f-38b3-432f-9baf-232cbdb5c660"},{"question":"A particle moving along the x-axis has its position described by the function x =( 5.00 t^3-5.00t+t+…","answer":"","href":"/questions-and-answers/a-particle-moving-along-thex-axis-has-its-position-described-by-the-function-x-5.00-t3-5.00tt-1.00-m/7632ecb0-7521-4d47-b529-581c1559c400"},{"question":"At time t = 0 a particle at the origin of an xyz-coordinate system has a velocity vector of Vo =i+…","answer":"","href":"/questions-and-answers/at-time-t-0-a-particle-at-the-origin-of-an-xyz-coordinate-system-has-a-velocity-vector-of-vo-i-12j-k/76b8efcd-5b2b-49cd-8ec4-f293a3f2905b"},{"question":"A particle moves in a straight line and had acceleration given by a(t) = -3t - 5 m/s^2. It’s initial…","answer":"Position at any time t is given by following formula:\nSt=S0+ut+12at2","href":"/questions-and-answers/a-particle-moves-in-a-straight-line-and-had-acceleration-given-by-at-3t-5-ms2.-its-initial-velocity-/7b38dc64-e067-4562-8d9c-4200d862dee9"},{"question":"Find the position vector of a particle that has the given acceleration and the specified initial…","answer":"","href":"/questions-and-answers/find-the-position-vector-of-a-particle-that-has-the-given-acceleration-and-the-specified-initial-vel/7e2f3069-b3b5-4ef8-b3a0-76c85b826828"},{"question":"Taking north to be the positive y direction and east to be the positive x direction, a particle's…","answer":"The objective of the question is to find the time at which the particle is traveling exactly…","href":"/questions-and-answers/taking-north-to-be-the-positive-y-direction-and-east-to-be-the-positive-x-direction-a-particles-posi/84aa6dbf-7d39-4edf-89fb-60315f5ec928"},{"question":"Suppose the position vector for a particle is given as a function of time by r(t) = x(t)î + y(t)j,…","answer":"1. According to the above question, \nPosition vector for a particle is r→(t) = x(t)i + y(t)j ,…","href":"/questions-and-answers/suppose-the-position-vector-for-a-particle-is-given-as-a-function-of-time-by-rt-xti-ytj-with-xt-at-b/9390adce-675d-4001-833c-03207f94c6e1"},{"question":"An object on a horizontal plane has an initial velocity Vo (6.01+3.0f)m/s at a point where its…","answer":"Given:\nInitial velocity vector, v→i=(6.0i^+3.0 j^) m/s\nFinal velocity, v→f=(-8.0i^-4.0 j^) m/s…","href":"/questions-and-answers/an-object-on-a-horizontal-plane-has-an-initial-velocity-vo-6.013.0fms-at-a-point-where-its-position-/956e44c1-d950-4615-ae90-ab67d162030e"},{"question":"A toy frog is initially at the origin of a Cartesian coordinate system. Upon leaping, its position…","answer":"Initially frog at the origin, with coordinates O(0,0,0)\nAfter a second it is at point P, P=(5…","href":"/questions-and-answers/a-toy-frog-is-initially-at-the-origin-of-a-cartesian-coordinate-system.-upon-leaping-its-position-af/95d7e8ee-8c34-4d2f-952b-c3e4dd55e866"},{"question":"1. The particle's position vector varies in time according to the expression r = (3.00i –\n6.00t2j) m…","answer":"Let r denotes the position vector of the particle at time t, v denotes the position vector of the…","href":"/questions-and-answers/1.-the-particles-position-vector-varies-in-time-according-to-the-expression-r-3.00i-6.00t2j-m-a-dete/964f56e8-c58c-4c80-b89c-85f7b4b1ae56"},{"question":"A dog running in an open field has components of velocity v_x = 2.0 m/s\nand v_y = -1.6 m/s at time…","answer":"Using kinematics equation in component form we can solve the problem as solved below.","href":"/questions-and-answers/a-dog-running-in-an-open-field-has-components-of-velocity-v_x-2.0-ms-and-v_y-1.6-ms-at-time-t_1-10.0/9cf838f6-4187-4d95-b2bd-0dd45b2bb488"},{"question":"Suppose the position vector for a particle is given as a function of time by r(t) = x(t)î + y(t)ĵ,…","answer":"","href":"/questions-and-answers/suppose-the-position-vector-for-a-particle-is-given-as-a-function-of-time-by-rt-xti-yt-with-xt-at-b-/9e9db9d7-dc20-4261-bd36-b5c0d66104c6"},{"question":"Suppose that the position vector for a particle is given as a function of time by (t) = x(t)î +…","answer":"The position vector for a particle is,\nr→(t) = x(t) î + y(t) ĵ…","href":"/questions-and-answers/suppose-that-the-position-vector-for-a-particle-is-given-as-a-function-of-time-bytxtiyt-withxt-atban/a6b3e1bd-b61e-498d-b6e9-2f8840ea700a"},{"question":"The figure shows the y-position (in blue) of a particle versus time.\ny (m)\n20\n16\nr\n12\n8\n4\n0\n4\n-t (s)…","answer":"(a) According to the graph figure, the blue line indicates the trajectory of the particle with…","href":"/questions-and-answers/the-figure-shows-the-y-position-in-blue-of-a-particle-versus-time.-y-m-20-16-r-12-8-4-0-4-t-s-a-what/a711efe9-f7e4-4076-a73b-7e36c5895b72"},{"question":"The velocity 7 of a particle moving in the xy plane is given by = ( 5.50 - 5.00 P)i + 9.00). with V…","answer":"According to guidelines we need to solve only first three sub-part kindly repost other parts in the…","href":"/questions-and-answers/the-velocity-7-of-a-particle-moving-in-the-xy-plane-is-given-by-5.50-5.00-pi-9.00.-with-v-in-meters-/aabaea87-e7f3-48e9-bb07-fa1e190084e4"},{"question":"Application 3: A particle moves on a horizontal\ntrajectory with velocity V = (3t? - 6t) m/s. Here t…","answer":"","href":"/questions-and-answers/application-3-a-particle-moves-on-a-horizontal-trajectory-with-velocity-v-3t-6t-ms.-here-t-is-the-ti/b29fc1c7-e3ea-4934-807a-5e7dc577f15d"},{"question":"The acceleration of a particle moving only on a horizontal xy plane is given by a = 411 + Stj.where…","answer":"","href":"/questions-and-answers/the-acceleration-of-a-particle-moving-only-on-a-horizontal-xy-plane-is-given-by-a-411-stj.where-a-is/b6bd7fb3-1cdb-46a1-b839-caae1bc20a3d"},{"question":"During a 4.75 s interval, a particle's coordinates change from x = 11.0 m, y = 5.25 m to x = 30.3 m,…","answer":"","href":"/questions-and-answers/during-a-4.75-s-interval-a-particles-coordinates-change-from-x-11.0-m-y-5.25-m-to-x-30.3-m-y-5.25-m./b7454e0f-1c0b-4b29-bcb6-d1928d36ef6f"},{"question":"A particle travels along the following vectors in succession: D1 = 5^i,\n\"D2 = 12^j, \u0026 D3 = 2^i +…","answer":"","href":"/questions-and-answers/a-particle-travels-along-the-following-vectors-in-succession-d1-5i-d2-12j-and-d3-2i-4j-and-d4-6i-5j./b784c9f7-c84b-47ce-b0e3-6a1fcc40b201"}],"onExpandGtmEvent":{"event":"User Expands Similar Questions in Left Rail Solution Page","location":"QNA Solution"}},"conceptExplainerZippiesProps":{"headerProps":{"title":"Concept explainers","iconUrl":"/static/compass_v2/leftrail/idea.svg","iconWidth":"16px","iconHeight":"16px","iconAlt":"","iconBackgroundColor":"#A550CF","buttonAriaProps":{"aria-label":"open concept explainers","aria-controls":"concept-explainers-panel","id":"concept-explainers-left-rail"}},"zippies":[{"id":"fc5d5d71-3276-4781-85d4-25f7393aeb67","title":"Projectile Motion","description":"\n\n","href":"/subject/science/physics/concepts/projectile-motion"}],"onExpandGtmEvent":{"event":"User Expands CEs in Left Rail Solution Page","location":"QNA Solution"}}},"qnaQuestionHeaderProps":{"satisfactionPercentage":null,"shouldShowRating":false},"slug":"suppose-the-position-vector-for-a-particle-is-given-as-a-function-of-time-byrtxtiytj-withxtatbandytc","shouldLoadABTasty":false,"qnAAggregateRatingXmlSchemaData":null}},"page":"/questions-and-answers/[...id]","query":{"id":["suppose-the-position-vector-for-a-particle-is-given-as-a-function-of-time-byrtxtiytj-withxtatbandytc","8f5c53ee-43d7-4667-8d9e-0538ca692878"]},"buildId":"f63bc52d7815b708337400d031020df4256805dc","assetPrefix":"/v2","isFallback":false,"dynamicIds":[8077],"gip":true,"scriptLoader":[]}</script></body></html>