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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 F(c) = x(t)i+y(t)],withx(t)=at+b and y(t)=-ct^2+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-by-fc-xtiytwithxtatb-and-y/416bc87d-b33b-46f2-80ac-d52621cc73de"/><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-by-fc-xtiytwithxtatb-and-y/416bc87d-b33b-46f2-80ac-d52621cc73de" }, "name": "Suppose the position vector for a particle is given as a function of time by F(c) = x(t)i+y(t)],withx(t)=at+b and y(t)=-ct^2+d, where a=1.20m/s,b=1.10m,c=0.126m/s^2 and d=1.20m.(a) Calculate the average velocity during the time interval from t = 1.90 s to t = 3.85s b) find velocity at t=1.90s Determine the speed at t= 1.90s", "description": "Suppose the position vector for a particle is given as a function of time by F(c) = x(t)i+y(t)],withx(t)=at+b and y(t)=-ct^2+d, where a=1.20m/s,b=1.10m,c=0.126m/s^2 and d=1.20m.(a) Calculate the average velocity during the time interval from t = 1.90 s to t = 3.85s b) find velocity at t=1.90s Determine the speed at t= 1.90s", "inLanguage": "en", "headline": "Suppose the position vector for a particle is given as a function of time by F(c) = x(t)i+y(t)],withx(t)=at+b and y(t)=-ct^2+d, where a=1.20m/s,b=1.10m,c=0.126m/s^2 and d=1.20m.(a) Calculate the average velocity during the time interval from t = 1.90 s to t = 3.85s b) find velocity at t=1.90s Determine the speed at t= 1.90s", "datePublished": "2022-10-10", 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(a) Calculate the average velocity during the time interval from t = 1.90 s to t = 3.85s b) find velocity at t=1.90s Determine the speed at t= 1.90s</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 F(c) = x(t)i+y(t)],withx(t)=at+b and y(t)=-ct^2+d, where a=1.20m/s,b=1.10m,c=0.126m/s^2 and d=1.20m. (a) Calculate the average velocity during the time interval from t = 1.90 s to t = 3.85s b) find velocity at t=1.90s Determine the speed at t= 1.90s</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 F(c) = x(t)i+y(t)],withx(t)=at+b and y(t)=-ct^2+d, where a=1.20m/s,b=1.10m,c=0.126m/s^2 and d=1.20m. (a) Calculate the average velocity during the time interval from t = 1.90 s to t = 3.85s b) find velocity at t=1.90s Determine the speed at t= 1.90s</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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moving along a horizontal line is given by v(t) = ln 2 * 23t ,…</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 velocity function of a particle moving along a horizontal line is given by v(t) = ln 2 * 23t ,…</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/0ee5ebdb-653d-4d0f-9546-c2f49c7ffdfc" 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: </p></div></a><a 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with multiple sub-parts, we will solve first three sub-parts for…</p></div></a><a href="/questions-and-answers/let-the-position-vector-with-its-tail-at-the-origin-of-a-moving-particle-be-~rt-t2i-2tj-t2-2tk-where/1afc4092-11dd-4b5b-87d4-2c49e34229df" 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: Let the position vector (with its tail at the origin) of a moving particle be ~r(t) = t^(2)ˆi − 2tˆj…</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/ammar-flies-a-drone-starting-from-time-0-second-and-position-0-4m-with-an-acceleration-of-a-21-4-and/2d841b75-9a94-4355-aaea-8ff8423e9c31" class="flex-1 w-full no-underline mx-2px mt-2px mb-24px" tabindex="0"><div class="w-full lg:max-w-[255px]"><p 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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 snowmobile is originally at the point with position vector 26.5 m at 95.0\deg counterclockwise…</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-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" 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)i + 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: 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At a height of 8.8 m, its velocity is…</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) initial vertical velocity</p></div></a><a href="/questions-and-answers/a-particle-initially-located-at-the-origin-has-an-acceleration-of-a-2.00j-ms-and-an-initial-velocity/4d7d7359-7e79-442a-abcd-b50c547afa98" 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 initially located at the origin has an acceleration of a - 2.00j m/s? and an 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/a-speedboat-moves-on-a-lake-with-initial-velocity-vector18.81msv1x8.81msand12.45msv1y2.45ms-then-acc/51ee6200-6153-4457-8aec-2577b0a0417f" 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 speedboat moves on a lake with initial velocity vector ?1,?=8.81 m/sv1,x=8.81 m/s and ?1,?=−2.45…</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, The initial speed of the speedboat, v1x = 8.81 msv1 = -2.45 ms Time, t = 6.63 s…</p></div></a><a href="/questions-and-answers/the-height-of-an-object-as-a-function-of-time-is-given-by-yt-a-coswt-to-b-percent3d-where-a-b-1.00-m/55886ba3-862f-4a00-a4e2-90ac1a0752ad" 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 height of an object as a function of time is given by y(t) = A cos(wt + to) + B, %3D where A =…</p><p class="flex-1 m-0 text-shark text-14px leading-20px -tracking-0.1px w-[100%] break-words line-clamp-2">A: Please see the answer below</p></div></a><a 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" 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 starts from the origin at t = 0 s with a velocity of 10 , m/s and moves in the r – y…</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-velocity-of-a-particle-is-given-by-v-16ti-4tj-5t-2k-ms-where-t-is-in-seconds.-if-the-particle-if/5bf5e496-13be-42fd-a95f-c58fc8bbc411" 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 of a particle is given by v- [16t'i + 4t'j + (5t + 2)k) m/s, where t is in seconds. If…</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/problem-9-a-punted-football-is-observed-to-have-velocity-components-vhorizontal-17-ms-to-the-right-a/5bfac88c-cb4a-4c2d-88e4-0ac7d23847b4" 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: Problem 9: A punted football is observed to have velocity components vhorizontal = 17 m/s to the…</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, horizontal component of velocity, vH = 17 m/svertical component, vv = - 3.75 m/s(negative…</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/the-following-equations-give-the-position-x1-of-a-particle-in-four-situations-in-each-equation-x-is-/6dae619b-a43f-4642-8f7d-71ff15675e07" 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 following equations give the position x(1) of a particle in four situations (in each equation, x…</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-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/the-velocity-v-of-a-particle-moving-in-the-xy-plane-is-given-by-5.50-t-5.00-i-9.00-j-with-v-in-meter/7af59065-2265-4101-94a0-589188ee2ed1" 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 V of a particle moving in the xy plane is given by = ( 5.50 t- 5.00 )i + 9.00 j, 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: </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/a-motorist-drives-south-at-20.0-ms-for-3.00-min-then-turns-west-and-travels-at-25.0-ms-for-2.00-min-/820ca7ee-9540-4a8e-96b6-76b6a785399a" 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 motorist drives south at 20.0 m/s for 3.00 min, then turns west and travels at 25.0 m/s for 2.00…</p><p class="flex-1 m-0 text-shark text-14px leading-20px -tracking-0.1px w-[100%] break-words line-clamp-2">A: Velocity and displacement vector</p></div></a><a href="/questions-and-answers/an-athlete-needs-to-get-across-a-river.-he-must-reach-from-pointa-on-one-side-to-point-b-directly-ac/856c7800-ca29-4b9d-88fe-a141a8ad3e0a" 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 athlete needs to get across a river. he must reach from point A on one side to point B, directly…</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/position-vector-of-a-moving-particle-is-given-by-rt-2t25t2-2t21t12-a-at-what-times-does-the-particle/85fe4ce7-a5d8-4b84-9b33-4d7af1ca03ee" 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: Position vector of a moving particle is given by r(t)= (2t2−5t+2, 2t2+1,(t+1)2) (a) At what time(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: </p></div></a><a href="/questions-and-answers/suppose-that-a-particles-position-is-described-by-rt-ti-t-1-k.-find-the-velocity-vector-for-the-part/863741df-097f-4576-8067-e01b23647b9c" 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 a particle's position is described by r(t) = ti+ (t + 1) k. Find the velocity vector…</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/ammar-flies-a-drone-starting-from-time-0-second-and-position-0-4m-with-an-acceleration-of-2-2-4-2-an/8ee6f931-1bdf-4962-a27b-f27f74609f8c" 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: Ammar flies a drone starting from time = 0 second and position (0, 4m) with an acceleration of ? ⃑ =…</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-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/the-velocity-v-of-a-particle-moving-in-the-xy-plane-is-given-by-v-5.4t-41-i-9-with-v-in-meters-per-s/95781360-b125-46a2-be6b-caa3eab9ec66" 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 v of a particle moving in the xy plane is given by v (5.4t – 41 )î + 9§, with V in…</p><p class="flex-1 m-0 text-shark text-14px leading-20px -tracking-0.1px w-[100%] break-words line-clamp-2">A: Ko</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/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/a-car-is-traveling-with-an-initial-velocity-of-v-andgt-i-1-6.36-mandgts2xn-16.36-mandgts2yn-.-eight-/a17bb084-8aaf-4a49-8b7a-322483e1ed25" 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 car is traveling with an initial velocity of v&gt;i = 1-6.36 m&gt;s2xn + 16.36 m&gt;s2yn . Eight…</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-ball-is-shot-from-the-ground-into-the-air.-at-a-height-of-9.4-m-its-velocity-is-7.71-6.2-ms-with-i/a34e35eb-50ec-4655-bd04-312138844a19" 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 ball is shot from the ground into the air. At a height of 9.4 m, its velocity is = 7.71 +6.2 m/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: </p></div></a><a href="/questions-and-answers/given-the-displacement-vector-3.12-2.0-0-a-what-is-the-position-of-the-object-at-time-2.1-assuming-t/a39f5961-1d1d-4590-be87-912dc892c8c6" 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: Given the displacement vector ? = [3.1?2, 2.0?, 0]: (a) what is the position of the object 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: The given information in the question is a displacement vector,? = [3.1?2, 2.0? 0]. The displacement…</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/a.-explain-why-the-vertical-component-of-the-velocity-vy-of-a-projectile-motion-is-zero-at-the-maxim/a747f4ea-2b03-46da-b42a-ff1e865e0db9" 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. Explain why the vertical component of the velocity (Vy) of a projectile motion is zero at the…</p><p class="flex-1 m-0 text-shark text-14px leading-20px -tracking-0.1px w-[100%] break-words line-clamp-2">A: Projectile motion is the motion of an object which is launched with some initial velocity at some…</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 F(c) = x(t)i+y(t)],withx(t)=at+b and y(t)=-ct^2+d, where a=1.20m/s,b=1.10m,c=0.126m/s^2 and d=1.20m. (a) Calculate the average velocity during the time interval from t = 1.90 s to t = 3.85s b) find velocity at t=1.90s Determine the speed at t= 1.90s</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:570px" 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 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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/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="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">The velocity of a particle moving in the xy plane is given by = ( 5.50 r- 5.00 P)i + 9.00). with V in meters per second and t- 0l in seconds. At t-1.40 s and in unit-vector notation, what are lal the xcomponent and (bi the y component of the acceleration? ) When of ever) is the acceleration zero? (d) At what positive time does the speed eoual 100 ms? 1 unit (al Number } unit This anwer hannunts degrees Number O Number Unit (d) Number Unit Hint Pa GO Tutorial Save for Later times Attempts: unlimited Smit Arr</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/ammar-flies-a-drone-starting-from-time-0-second-and-position-0-4m-with-an-acceleration-of-a-2i-s2-4-/aef5fb1e-907d-4058-b839-50425a5c749d" 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">Ammar flies a drone starting from time = 0 second and position (0, 4m) with an acceleration of ā = 2î" s2 4) and an initial velocity of v¡ = 6.00 i " . Find |(a) the vector position of the particle at any time t, |(b) the velocity of the particle at any time t, |(c) the coordinates of the particle 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/ammar-flies-a-drone-starting-from-time-0-second-and-position-0-4m-with-an-acceleration-of-a-2i-43-an/b0daea57-89c5-4923-ba9b-e2e2296076a9" 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">Ammar flies a drone starting from time = 0 second and position (0, 4m) with an acceleration of ?⃑ = 2?̂??2 −4?̂??2and an initial velocity of ?⃑? = 6.00 ?̂??. Find(a) the vector position of the particle at any time t,(b) the velocity of the particle at any time t,(c) the coordinates of the particle 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></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/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="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">Current Attempt in Progress L locates the paticle, which then has the velocity 4ti + 5t), where a is in meters per second- The acceleration of a particle moving only on a horizontal xy plane is given by a squared and t is in seconds. At t=0, the position vector 7= (20.0m)i + (39.0m) vector 7 = (5.10m/s)i + (2.70m/s). At t-3.70s, what are (a) its position vector in unit-vector notation and (b) the angle between its direction of travel and the positive direction of the x axis? (a) Number i (b) Number eTextbook and Media Save for Later Units Units Attempts: 0 of 8 used Submit Answer</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/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="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">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, y = -5.25 m. Assuming the particle's velocity is constant, what will its coordinates be at the end of the next 4.75 s interval?</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/starting-from-rest-a-car-accelerates-at-2.0-mandgts2-up-a-hill-that-is-inclined-5.5-above-the-horizo/b84fb381-26e4-4331-a7f7-356d78192a4c" 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">Starting from rest, a car accelerates at 2.0 m>s2 up a hill that isinclined 5.5° above the horizontal. How far (a) horizontally and(b) vertically has the car traveled in 12 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><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/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/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-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></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/the-acceleration-of-a-particle-at-any-time-t-0-is-given-by-a-12-ti-9sin3tj-9cos3tkif-the-velocity-v-/c583e722-f701-47ba-b369-abc27f6ff6b7" 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">The acceleration of a particle at any time t ≥ 0 is given by a = 12 ti + 9sin3tj + 9cos3tkIf the velocity v and displacement r are zero at t= 0, find r at any time t.</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-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></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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(a) Calculate the average velocity during the time interval from t = 1.90 s to t = 3.85s b) find velocity at t=1.90s Determine the speed at t= 1.90s","topicTaxonomy":[{"id":2253,"title":"Projectile motion","shortName":"projectile-motion","externalSystemPath":"Kinematics/Motion in 2-D/Projectile motion","question_topic_taxonomy_assoc":{"id":"751c6fdb-484d-11ed-9ab8-0ee78e503865","question_id":"416bc87d-b33b-46f2-80ac-d52621cc73de","question_type":"QNA","topic_taxonomy_id":2253,"created_date":"2022-10-10T03:41:43.000Z"}}],"answeredDate":"2022-10-10T03:41:42.000Z","hasMicroExplainers":false,"microExplainersData":[],"computed":{"subject":{"id":"cf782afc-4459-11e8-a2ac-0eefbb92016e","title":"Physics","shortName":"physics","smallImage":"https://isbn-assets.bnedcompass.com/subject_images/science/physics.svg"},"childSubjectTitle":"Physics"}},"answer":{"id":"5177a410-5e75-473f-a75f-8430990c5656","status":"Accepted","questionId":"416bc87d-b33b-46f2-80ac-d52621cc73de","createdDate":"2022-10-10T03:41:42.000Z","steps":[],"rejectionMessage":null,"imagesProcessed":1,"primaryRejectionReason":null,"secondaryRejectionReason":null,"numberOfAnswerSteps":0,"schemaAnswerSteps":"Answered: Image /qna-images/answer/416bc87d-b33b-46f2-80ac-d52621cc73de.jpg","previewAnswer":true,"hasMicroExplainers":false,"certified":false,"hasVideo":false},"isOwned":false,"isRestricted":false,"exactMatch":null,"parentQuestion":null,"isBlocked":false,"followUpQuestions":[],"defaultTopicAdded":false,"inReview":false,"isUnlocked":false,"practicePacks":[],"solutionSummaryDetails":{"imagesCount":4,"stepsCount":4,"hasVideo":false,"isPopular":true,"steps":[{"header":"Step 1"},{"header":"Step 2"},{"header":"Step 3"},{"header":"Step 4"}],"aiSummary":null},"isAiResponse":false,"isAiResponseAccepted":null,"answerSource":"ROUTER","fullAnswerDisplayed":false,"isGoogleBot":false},"qnaStats":{"numberOfUpVotes":0,"numberOfDownVotes":0,"numberOfStars":null,"shouldShowRating":false,"pageViews":null},"followUpQuestions":[],"liveChatSupport":{"isLiveChatEnabled":true,"id":"cf782afc-4459-11e8-a2ac-0eefbb92016e","title":"Physics","shortName":"physics","waitQueueTooLong":false},"shouldHideFollowUpForCurrentSubject":false,"questionHeaderText":"Suppose the position vector for a particle is given as a function of time by F(c) = x(t)i+y(t)],withx(t)=at+b and y(t)=-ct^2+d, where a=1.20m/s,b=1.10m,c=0.126m/s^2 and d=1.20m. 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(a) Calculate the average velocity during the time interval from t = 1.90 s to t = 3.85s b) find velocity at t=1.90s Determine the speed at t= 1.90s","qnaQuestionXmlSchemaData":{"@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-by-fc-xtiytwithxtatb-and-y/416bc87d-b33b-46f2-80ac-d52621cc73de"},"name":"Suppose the position vector for a particle is given as a function of time by F(c) = x(t)i+y(t)],withx(t)=at+b and y(t)=-ct^2+d, where a=1.20m/s,b=1.10m,c=0.126m/s^2 and d=1.20m.(a) Calculate the average velocity during the time interval from t = 1.90 s to t = 3.85s b) find velocity at t=1.90s Determine the speed at t= 1.90s","description":"Suppose the position vector for a particle is given as a function of time by F(c) = x(t)i+y(t)],withx(t)=at+b and y(t)=-ct^2+d, where a=1.20m/s,b=1.10m,c=0.126m/s^2 and d=1.20m.(a) Calculate the average velocity during the time interval from t = 1.90 s to t = 3.85s b) find velocity at t=1.90s Determine the speed at t= 1.90s","inLanguage":"en","headline":"Suppose the position vector for a particle is given as a function of time by F(c) = x(t)i+y(t)],withx(t)=at+b and y(t)=-ct^2+d, where a=1.20m/s,b=1.10m,c=0.126m/s^2 and d=1.20m.(a) Calculate the average velocity during the time interval from t = 1.90 s to t = 3.85s b) find velocity at t=1.90s Determine the speed at t= 1.90s","datePublished":"2022-10-10","dateModified":"2022-10-10","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 F(c) = x(t)i+y(t)],withx(t)=at+b and y(t)=-ct^2+d, where a=1.20m/s,b=1.10m,c=0.126m/s^2 and d=1.20m.(a) Calculate the average velocity during the time interval from t = 1.90 s to t = 3.85s b) find velocity at t=1.90s Determine the speed at t= 1.90s","text":"Suppose the position vector for a particle is given as a function of time by F(c) = x(t)i+y(t)],withx(t)=at+b and y(t)=-ct^2+d, where a=1.20m/s,b=1.10m,c=0.126m/s^2 and d=1.20m.(a) Calculate the average velocity during the time interval from t = 1.90 s to t = 3.85s b) find velocity at t=1.90s Determine the speed at t= 1.90s","answerCount":1,"dateCreated":"2022-10-10","acceptedAnswer":{"@type":"Answer","text":"Answered: Image /qna-images/answer/416bc87d-b33b-46f2-80ac-d52621cc73de.jpg"},"url":"https://www.bartleby.com/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"}},"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-by-fc-xtiytwithxtatb-and-y/416bc87d-b33b-46f2-80ac-d52621cc73de","name":"Suppose the position vector for a particle is given as a function of time by F(c) = x(t)i+y(t)],withx(t)=at+b and y(t)=-ct^2+d, where a=1.20m/s,b=1.10m,c=0.126m/s^2 and d=1.20m. 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Find\n|(a) the vector position of the particle at any time t,\n|(b) the velocity of the particle at any time t,\n|(c) the coordinates of the particle at t = 3.00 s"},{"questionUrl":{"href":"/questions-and-answers/ammar-flies-a-drone-starting-from-time-0-second-and-position-0-4m-with-an-acceleration-of-a-2i-43-an/b0daea57-89c5-4923-ba9b-e2e2296076a9"},"questioText":"Ammar flies a drone starting from time = 0 second and position (0, 4m) with an acceleration of ?⃑ = 2?̂??2 −4?̂??2and an initial velocity of ?⃑? = 6.00 ?̂??. Find(a) the vector position of the particle at any time t,(b) the velocity of the particle at any time t,(c) the coordinates of the particle at t = 3.00 s"},{"questionUrl":{"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"},"questioText":"Current Attempt in Progress\nL\nlocates the paticle, which then has the velocity\n4ti + 5t), where a is in meters per second-\nThe acceleration of a particle moving only on a horizontal xy plane is given by a\nsquared and t is in seconds. At t=0, the position vector 7= (20.0m)i + (39.0m)\nvector 7 = (5.10m/s)i + (2.70m/s). At t-3.70s, what are (a) its position vector in unit-vector notation and (b) the angle between\nits direction of travel and the positive direction of the x axis?\n(a) Number i\n(b) Number\neTextbook and Media\nSave for Later\nUnits\nUnits\nAttempts: 0 of 8 used\nSubmit Answer"},{"questionUrl":{"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"},"questioText":"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, y = -5.25 m. Assuming the particle's velocity is constant, what will its coordinates be at the end of the next 4.75 s interval?"},{"questionUrl":{"href":"/questions-and-answers/starting-from-rest-a-car-accelerates-at-2.0-mandgts2-up-a-hill-that-is-inclined-5.5-above-the-horizo/b84fb381-26e4-4331-a7f7-356d78192a4c"},"questioText":"Starting from rest, a car accelerates at 2.0 m\u0026gt;s2 up a hill that isinclined 5.5° above the horizontal. How far (a) horizontally and(b) vertically has the car traveled in 12 s?"},{"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/a-particle-has-the-following-position-vector-aet-at-t-to-find-the-velocity-and-the-acceleration-of-t/c11c1e83-2774-42b5-93b3-277ea7ff531c"},"questioText":"A particle has the following position vector\nx(t) = at³ +\n(t + to) \"\nFind the velocity and the acceleration of the particle as a function of time where\na, y, and to are positive constants.\nv(t)\n2at?\n2y\n6y\na(t) = 3at +\n-\n(t + to)³\n(t +to)4\n2y\n6y\nv(t) = 2at³\na(t)\n(t + to)3'\n= 6at +\n-\n(t + to)³\n27\nv(t) = 3at² +\n(t + to)3\n2y\na(t) :\n2at +\n(t +to)4\n2y\n6y\nv(t) = 3at²\n+\n(t + to) \"\na(t) = 6at\n(t + to)ª\n27\n6y\nv(t) = 3at?\na(t)\n(t + to)3\n= 6at +\n-\n(t + to)4"},{"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/the-acceleration-of-a-particle-at-any-time-t-0-is-given-by-a-12-ti-9sin3tj-9cos3tkif-the-velocity-v-/c583e722-f701-47ba-b369-abc27f6ff6b7"},"questioText":"The acceleration of a particle at any time t ≥ 0 is given by a = 12 ti + 9sin3tj + 9cos3tkIf the velocity v and displacement r are zero at t= 0, find r at any time t."},{"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/the-velocity-of-a-particle-moving-in-the-xy-plane-is-given-by-7-5.50-5.00-i-9.00-.within-meters-per-/d566d9b0-0eb5-43f6-845b-bfa1936af7da"},"questioText":"Please Asap"},{"questionUrl":{"href":"/questions-and-answers/a-hovercraft-has-an-initial-position-of-rt-0s-235m-265-an-initial-velocity-of-vt-0s-125ms-14-and-a-c/d7292479-ad61-42af-9f64-c16b686436ad"},"questioText":"A hovercraft has an initial position of r(t = 0s) = 235m @ 265◦, an initial velocity of⃗v(t = 0s) = 125m/s @ 14◦, and a constant acceleration of ⃗a = 21.3m/s^2 @ 143◦.(a) How long does it take for the x coordinate of the hovercraft’s position to reach -100m?(b) What is the hovercraft’s position at this time?(c) What is the hovercraft’s velocity at this time?"},{"questionUrl":{"href":"/questions-and-answers/st-3.-given-7t-or-5.0-cm-1.2-tor-i-3.0-tj-st-for-the-time-interval-from-t-2-to-t-4.0-s-find-adisplac/d7e65ee5-bcef-4db7-b741-0bb09738ffd9"},"questioText":"Given r-\u0026gt;(t)=[-5.0cm + (1.2 cm/s2)t2]i + (3.0cm/s)tj\nFor the time interval from t = 2 to t = 4.0 s, find\na) displacement\nb) average velocity\nc) average acceleration"},{"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/an-ions-position-vector-is-initiallyr-3.7mi-6.4mj9.3mk-and9.4-slater-it-isr8.3mi5.0mj8.2mk.-in-unit-/dfd4f57a-46bb-4434-9a57-ce9faa8f858e"},"questioText":"An ion's position vector is initially r→=(-3.7m)î+(-6.4m)ĵ+(9.3m)k̂, and 9.4 s later it is r→=(8.3m)î+(5.0m)ĵ+(8.2m)k̂. In unit-vector notation, what is its average velocity during the 9.4 s?"},{"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/suppose-the-position-vector-for-a-particle-is-given-as-a-function-of-time-by-rt-xti-ytj-with-xt-at-b/e44afdc9-2939-44a0-8e63-c08db67b2b3d"},"questioText":"Suppose the position vector for a particle is given as a function of time by r(t) = x(t)î + y(t)j, with x(t) = at + b and y(t) = ct + d, where a = 2.00 m/s, b = 1.15 m, c = 0.116 m/s2, and d = 1.08 m.\n(a) Calculate the average velocity during the time interval from t = 2.25 s to t= 3.80 s.\nm/s\n(b) Determine the velocity at t = 2.25 s.\nv =\nm/s\nDetermine the speed at t = 2.25 s.\nm/s"},{"questionUrl":{"href":"/questions-and-answers/the-acceleration-of-a-particle-moving-only-on-a-horizontal-xy-plane-is-given-by-a-611-71-where-a-is-/e7511abd-76c2-4718-bf1e-f6171e64e802"},"questioText":"The acceleration of a particle moving only on a horizontal xy plane is given by a = 611 +71), where a is in meters per second-\nsquared and t is in seconds. At t = 0, the position vector 7= (23.0m)i + (45.0m) locates the paticle, which then has the velocity\nvector 7 = (6.40m/s) + (2.60m/s)). At t - 3,40s, what are (a) its position vector in unit-vector notation and (b) the angle between\nits direction of travel and the positive direction of the x axis?"},{"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/at-time-t-0-a-projectile-is-launched-from-ground-level.-at-t-2.00-s-it-is-displaced-d-47-m-horizonta/ef2d6132-5f66-4632-bad8-914d22011f63"},"questioText":"At time t = 0, a projectile is launched from ground level. At t = 2.00 s, it is displacedd = 47 m horizontally and h = 77 m vertically above\nthe launch point. What are the (a) horizontal and (b)\nvertical components of the initial velocity of the projectile? (c) At the instant it reaches its maximum height above ground level, what is\nits horizontal displacement D from the launch point?\n(a) Number\ni\nUnit\n(b) Number\nUnit\n(c) Number\ni\nUnit\n\u003e"},{"questionUrl":{"href":"/questions-and-answers/a-hovercraft-has-an-initial-position-of-rt-0s-235m-265-an-initial-velocity-of-vt-0s-125ms-14-and-a-c/f29a2f95-f3f2-4b18-bf75-b02054df87c8"},"questioText":"A hovercraft has an initial position of r(t = 0s) = 235m @ 265◦, an initial velocity of⃗v(t = 0s) = 125m/s @ 14◦, and a constant acceleration of ⃗a = 21.3m/s^2 @ 143◦.(a) How long does it take for the x coordinate of the hovercraft’s position to reach -100m?(b) What is the hovercraft’s position at this time?"},{"questionUrl":{"href":"/questions-and-answers/the-displacement-of-an-object-with-respect-to-a-fixed-point-in-the-horizontal-plane-is-ri-2i-3j-m-an/fa14ecd8-6184-429a-8d2f-9986a113c4dc"},"questioText":"The displacement of an object with respect to a fixed point in the horizontal plane is ri = (2i-3j) m, and this point velocity vi = (2i + j) m / s. After the object moves with constant acceleration for 15 s, its velocity v = If (10i - 2j) m / s, in which direction is it moving at t = 20s, from the kinematic equations find it using."}],"gtmPageLocation":{"name":"Knowledge Booster"},"newlyPublishedQnaZippies":[]},"stickyHeaderProps":{"text":"Suppose the position vector for a particle is given as a function of time by F(c) = x(t)i+y(t)],withx(t)=at+b and y(t)=-ct^2+d, where a=1.20m/s,b=1.10m,c=0.126m/s^2 and d=1.20m. (a) Calculate the average velocity during the time interval from t = 1.90 s to t = 3.85s b) find velocity at t=1.90s Determine the speed at t= 1.90s"},"followUpQuestionProps":[],"qnaVideoProps":{"video":null,"topicVideo":{"id":"925300477","sundayskyId":null,"duration":"03:00","thumbnail":"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":null,"publishDate":"2024-03-20T06:57:47.000Z","title":"Projectile Motion","url":"https://player.vimeo.com/progressive_redirect/playback/925300477/rendition/240p/file.mp4?loc=external\u0026oauth2_token_id=1713810171\u0026signature=af1b6e41209014d02314f5233004e29b1feb0ea424e6590dcb208c1d96155613"},"questionId":"416bc87d-b33b-46f2-80ac-d52621cc73de","qnaHref":{"href":"/account/registration"}},"textbookModuleProps":{"bookInfoProps":{"shouldShowAbbreviatedView":true,"isbn13":"9781305952300","title":"College Physics","authors":"Raymond A. 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Students...","textPrefix":" 14CQ","href":"/solution-answer/chapter-1-problem-14cq-college-physics-11th-edition/9781305952300/two-different-measuring-devices-are-used-by-students-to-measure-the-length-of-a-metal-rod-students/d1b4a719-98d5-11e8-ada4-0ee91056875a","value":"13","children":[]},{"text":"If B is added to A, under what conditions does the resultant vector have a magnitude equal to A + B?...","textPrefix":" 15CQ","href":"/solution-answer/chapter-1-problem-15cq-college-physics-11th-edition/9781305952300/if-b-is-added-to-a-under-what-conditions-does-the-resultant-vector-have-a-magnitude-equal-to-a-b/e3be2b40-98d5-11e8-ada4-0ee91056875a","value":"14","children":[]},{"text":"Under what circumstances would a vector have components that are equal in magnitude?","textPrefix":" 16CQ","href":"/solution-answer/chapter-1-problem-16cq-college-physics-11th-edition/9781305952300/under-what-circumstances-would-a-vector-have-components-that-are-equal-in-magnitude/d2bbae1a-98d5-11e8-ada4-0ee91056875a","value":"15","children":[]},{"text":"The period of a simple pendulum, defined as the time necessary for one complete oscillation, is...","textPrefix":" 1P","href":"/solution-answer/chapter-1-problem-1p-college-physics-11th-edition/9781305952300/the-period-of-a-simple-pendulum-defined-as-the-time-necessary-for-one-complete-oscillation-is/2f912bb7-98d6-11e8-ada4-0ee91056875a","value":"16","children":[]},{"text":"(a) Suppose the displacement of an object is related to time according to the expression x = Bt2....","textPrefix":" 2P","href":"/solution-answer/chapter-1-problem-2p-college-physics-11th-edition/9781305952300/a-suppose-the-displacement-of-an-object-is-related-to-time-according-to-the-expression-x-bt2/2e2a25ba-98d6-11e8-ada4-0ee91056875a","value":"17","children":[]},{"text":"A shape that covers an area A and has a uniform height h has a volume V = Ah. 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It can be written in terms of the momentum p...","textPrefix":" 6P","href":"/solution-answer/chapter-1-problem-6p-college-physics-11th-edition/9781305952300/kinetic-energy-ke-topic-5-has-dimensions-kg-m2s2-it-can-be-written-in-terms-of-the-momentum-p/4943a7f3-98d7-11e8-ada4-0ee91056875a","value":"21","children":[]},{"text":"A rectangular airstrip measures 32.30 in by 210 m, with the width measured more accurately than the...","textPrefix":" 7P","href":"/solution-answer/chapter-1-problem-7p-college-physics-11th-edition/9781305952300/a-rectangular-airstrip-measures-3230-in-by-210-m-with-the-width-measured-more-accurately-than-the/e2f74730-98d4-11e8-ada4-0ee91056875a","value":"22","children":[]},{"text":"Use the rules for significant figures to find the answer to the addition problem 21.4 + 15 + 17.17 +...","textPrefix":" 8P","href":"/solution-answer/chapter-1-problem-8p-college-physics-11th-edition/9781305952300/use-the-rules-for-significant-figures-to-find-the-answer-to-the-addition-problem-214-15-1717/4dbbf596-98d7-11e8-ada4-0ee91056875a","value":"23","children":[]},{"text":"A carpet is to be installed in a room of length 9.72 m and width 5.3 m. 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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. 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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":"The acceleration of a particle is given by a = C₁ + C₂v, where a is in millimeters per second…","answer":"","href":"/questions-and-answers/the-acceleration-of-a-particle-is-given-by-a-c-cv-where-a-is-in-millimeters-per-second-squared-the-v/2f97f22d-5fa1-4bd4-99e7-bce2aee314ec"},{"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":"In order to go from her office to her favorite pizzeria for lunch, a woman walks due east (polar…","answer":"(a) Total distance traveled is\nD = (3.2) x5x60 + 2.7 x4x60 = 960 + 648 = 1608 m","href":"/questions-and-answers/in-order-to-go-from-her-office-to-her-favorite-pizzeria-for-lunch-a-woman-walks-due-east-polar-angle/329a8665-950d-4be4-b040-05011fac447b"},{"question":"A particle moving vertically according to the equation of motion s(t) = gt + bt,\nwhere b \u003e 0 and g…","answer":"","href":"/questions-and-answers/a-particle-moving-vertically-according-to-the-equation-of-motion-st-gt-bt-where-b-greater-0-and-g-is/354b0f45-d8cc-40d2-b7c6-54c67368ab42"},{"question":"A snowmobile is originally at the point with position\nvector 26.5 m at 95.0\\deg counterclockwise…","answer":"","href":"/questions-and-answers/a-snowmobile-is-originally-at-the-point-with-position-vector-26.5-m-at-95.0deg-counterclockwise-from/3b2bad8d-3b51-44ab-a5eb-d10d4f194bb7"},{"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":"A particle leaves the origin with an initial velocity = (5.25i) m/s and a constant acceleration\nà =…","answer":"We are given initial velocity of particle. We are also given acceleration for particle which is also…","href":"/questions-and-answers/a-particle-leaves-the-origin-with-an-initial-velocity-5.25i-ms-and-a-constant-acceleration-a-3.76i-3/3f6d5c64-8871-4da4-9f95-9e34efb62385"},{"question":"A ball is shot from the ground into the air. At a height of 8.8 m, its velocity is…","answer":"(a)\ninitial vertical velocity","href":"/questions-and-answers/a-ball-is-shot-from-the-ground-into-the-air.-at-a-height-of8.8mits-velocity-isv7.9i6.4jms-withihoriz/40f8dbcc-a714-4a9d-967e-e057d995449e"},{"question":"A particle initially located at the origin has an acceleration of a - 2.00j m/s? and an initial…","answer":"","href":"/questions-and-answers/a-particle-initially-located-at-the-origin-has-an-acceleration-of-a-2.00j-ms-and-an-initial-velocity/4d7d7359-7e79-442a-abcd-b50c547afa98"},{"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":"The height of an object as a function of time is given by\ny(t) = A cos(wt + to) + B,\n%3D\nwhere A =…","answer":"Please see the answer below","href":"/questions-and-answers/the-height-of-an-object-as-a-function-of-time-is-given-by-yt-a-coswt-to-b-percent3d-where-a-b-1.00-m/55886ba3-862f-4a00-a4e2-90ac1a0752ad"},{"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":"The velocity of a particle is given by v- [16t'i + 4t'j + (5t + 2)k) m/s, where t is in seconds.\nIf…","answer":"","href":"/questions-and-answers/the-velocity-of-a-particle-is-given-by-v-16ti-4tj-5t-2k-ms-where-t-is-in-seconds.-if-the-particle-if/5bf5e496-13be-42fd-a95f-c58fc8bbc411"},{"question":"Problem 9: A punted football is observed to have velocity components vhorizontal = 17 m/s\nto the…","answer":"Given,\nhorizontal component of velocity, vH = 17 m/svertical component, vv = - 3.75 m/s(negative…","href":"/questions-and-answers/problem-9-a-punted-football-is-observed-to-have-velocity-components-vhorizontal-17-ms-to-the-right-a/5bfac88c-cb4a-4c2d-88e4-0ac7d23847b4"},{"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":"The following equations give the position x(1) of a particle in four situations (in each\nequation, x…","answer":"","href":"/questions-and-answers/the-following-equations-give-the-position-x1-of-a-particle-in-four-situations-in-each-equation-x-is-/6dae619b-a43f-4642-8f7d-71ff15675e07"},{"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":"The velocity V of a particle moving in the xy plane is given by = ( 5.50 t- 5.00 )i + 9.00 j, with V…","answer":"","href":"/questions-and-answers/the-velocity-v-of-a-particle-moving-in-the-xy-plane-is-given-by-5.50-t-5.00-i-9.00-j-with-v-in-meter/7af59065-2265-4101-94a0-589188ee2ed1"},{"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":"A motorist drives south at 20.0 m/s for 3.00 min, then turns west and travels at 25.0 m/s for 2.00…","answer":"Velocity and displacement vector","href":"/questions-and-answers/a-motorist-drives-south-at-20.0-ms-for-3.00-min-then-turns-west-and-travels-at-25.0-ms-for-2.00-min-/820ca7ee-9540-4a8e-96b6-76b6a785399a"},{"question":"An athlete needs to get across a river. he must reach from point A on one side to point B, directly…","answer":"","href":"/questions-and-answers/an-athlete-needs-to-get-across-a-river.-he-must-reach-from-pointa-on-one-side-to-point-b-directly-ac/856c7800-ca29-4b9d-88fe-a141a8ad3e0a"},{"question":"Position vector of a moving particle is given by r(t)= (2t2−5t+2, 2t2+1,(t+1)2)\n(a) At what time(s)…","answer":"","href":"/questions-and-answers/position-vector-of-a-moving-particle-is-given-by-rt-2t25t2-2t21t12-a-at-what-times-does-the-particle/85fe4ce7-a5d8-4b84-9b33-4d7af1ca03ee"},{"question":"Suppose that a particle's position is described by\nr(t) = ti+ (t + 1) k.\nFind the velocity vector…","answer":"","href":"/questions-and-answers/suppose-that-a-particles-position-is-described-by-rt-ti-t-1-k.-find-the-velocity-vector-for-the-part/863741df-097f-4576-8067-e01b23647b9c"},{"question":"Ammar flies a drone starting from time = 0 second and position (0, 4m) with an acceleration of ? ⃑ =…","answer":"","href":"/questions-and-answers/ammar-flies-a-drone-starting-from-time-0-second-and-position-0-4m-with-an-acceleration-of-2-2-4-2-an/8ee6f931-1bdf-4962-a27b-f27f74609f8c"},{"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":"The velocity v of a particle moving in the xy plane is given by v\n(5.4t – 41 )î + 9§, with V in…","answer":"Ko","href":"/questions-and-answers/the-velocity-v-of-a-particle-moving-in-the-xy-plane-is-given-by-v-5.4t-41-i-9-with-v-in-meters-per-s/95781360-b125-46a2-be6b-caa3eab9ec66"},{"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":"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":"A car is traveling with an initial velocity of v\u0026gt;i = 1-6.36 m\u0026gt;s2xn + 16.36 m\u0026gt;s2yn . Eight…","answer":"","href":"/questions-and-answers/a-car-is-traveling-with-an-initial-velocity-of-v-andgt-i-1-6.36-mandgts2xn-16.36-mandgts2yn-.-eight-/a17bb084-8aaf-4a49-8b7a-322483e1ed25"},{"question":"A ball is shot from the ground into the air. At a height of 9.4 m, its velocity is = 7.71 +6.2 m/s,…","answer":"","href":"/questions-and-answers/a-ball-is-shot-from-the-ground-into-the-air.-at-a-height-of-9.4-m-its-velocity-is-7.71-6.2-ms-with-i/a34e35eb-50ec-4655-bd04-312138844a19"},{"question":"Given the displacement vector ? =\n[3.1?2, 2.0?, 0]:\n(a) what is the position of the object at time\n?…","answer":"The given information in the question is a displacement vector,? = [3.1?2, 2.0? 0]. The displacement…","href":"/questions-and-answers/given-the-displacement-vector-3.12-2.0-0-a-what-is-the-position-of-the-object-at-time-2.1-assuming-t/a39f5961-1d1d-4590-be87-912dc892c8c6"},{"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":"a. Explain why the vertical component of the velocity (Vy) of a projectile\nmotion is zero at the…","answer":"Projectile motion is the motion of an object which is launched with some initial velocity at some…","href":"/questions-and-answers/a.-explain-why-the-vertical-component-of-the-velocity-vy-of-a-projectile-motion-is-zero-at-the-maxim/a747f4ea-2b03-46da-b42a-ff1e865e0db9"}],"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-by-fc-xtiytwithxtatb-and-y","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-by-fc-xtiytwithxtatb-and-y","416bc87d-b33b-46f2-80ac-d52621cc73de"]},"buildId":"f63bc52d7815b708337400d031020df4256805dc","assetPrefix":"/v2","isFallback":false,"dynamicIds":[8077],"gip":true,"scriptLoader":[]}</script></body></html>