Think It Through• How do intervals of constant acceleration appear on anacceleration-time graph?• How do intervals of constant acceleration appear on avelocity-time graph?• What does a straight-line slope indicate on an acceleration-time graph?• What would a curved line indicate on an acceleration-time graph?• Explain circumstances in which an object would beaccelerating but have an insantaneous velocity of zero?• How does uniform acceleration differ from uniform motion?Concept OrganizerThe acceleration of these sprinters willprobably be very large at first and thenlevel off to zero. Their instantaneousacceleration will not be measured andreported. You can only determine anaverage acceleration if the data takenare only the overall distance and time.What data would you need in order tocalculate instantaneous acceleration?Velocity of objectdetermined duringa number of timeintervalsUniformAccelerationNon-UniformAccelerationAverage AccelerationInstantaneousAccelerationConstant AccelerationSlope of straight lineSlope of line connectinginitial and final positionsSlope of tangent to curveThe three waYs in whichasoucan descrihe acceleration You qualitatively analyzed the motion of a vanearlier. Now, using the example of the ballthrown into the air, you can do a more detailedanalysis of the van's motion. The table shownhere includes the time and position data, withone worked example for finding acceleration.TimePositionVelocityAdAccelerationt(s)(m/s)Ar (m/s")0.00.06.02.012+3.0124.036Sample CalculationNotice that the velocity that will be plotted att = 1.0 s is the average velocity betweent = 0.0 s and t 2.0 s. The velocity that will beplotted at t 3.0 s is the average velocitybetween t = 2.0 s and 4.0 s. The accelerationthat will be plotted at t= 2.0 s is the averageacceleration between t = 1.0 s and t = 3.0s.6.0488.09610.014212.019014.022616.0250Adgd-d12 m-0.0 m2.0 s-0.0 sV =18.0262Alo2t2-lo12 m2.0 s%3DAnalyze and Conclude1. How well do the average and instantaneousvelocities that you calculated agree with= 6.0 meach other?36 m-12 mV=Afz4%3D%3D2 Separate the graphs into three sections: (a) 0 sto 8s, (b) 8 s to 12 s, and (c) 12 s to 20 s. Foreach of these three time periods, compare allthree graphs in the following ways.(a) How do the shapes of the graphs (curved,straight, horizontal) relate to each other?(b) How do the signs of the values (positive,zero, or negative) relate to each other?t4-124.0 s-2.0 s24 m2.0 s= 12 m12 -6.0 m3.0 s-1.0 s%3D%3DAt-36.0m%3D2.0 s3. Under what circumstances can the van be= 3.0 mmoving but have a zero acceleration?4. Under what circumstances is the sign ofthe velocity the same as the sign of theacceleration?Complete the table for all average velocitiesand average accelerations. Then plot position-time, velocity-time, and acceleration-timegraphs. On the position-time graph, select onepoint between 0 and 4 s and one point between6 and 10 s. Draw tangents to the curve anddetermine their slopes.5. What general statement can you make aboutthe motion of the van when the direction ofthe acceleration vector is opposite to thedirection of the velocity vector?Describing Motion • MHR65

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Description: Think It Through• How do intervals of constant acceleration appear on anacceleration-time graph?• How do intervals of constant acceleration appear on avelocity-time graph?• What does a straight-line slope indicate on an acceleration-time graph?• Wha

1. How do intervals of constant acceleration is represented on acceleration time graph. In an…

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Think It Through • How do intervals of constant acceleration appear on an acceleration-time graph? • How do intervals of constant acceleration appear on a velocity-time graph? • What does a straight-line slope indicate on an acceleration- time graph? • What would a curved line indicate on an acceleration-time graph? •Explain circumstances in which an object would be accelerating but have an instantaneous velocity of zero? • How does uniform acceleration differ from uniform motion?

Think It Through • How do intervals of constant acceleration appear on an acceleration-time graph? • How do intervals of constant acceleration appear on a velocity-time graph? • What does a straight-line slope indicate on an acceleration- time graph? • What would a curved line indicate on an acceleration-time graph? •Explain circumstances in which an object would be accelerating but have an instantaneous velocity of zero? • How does uniform acceleration differ from uniform motion?

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Learning Goal: (Figure 1) In this problem you will determine the average velocity of a moving object from the graph of its position ä(t) as a function of time t. A traveling object might move at different speeds and in different directions during an interval of time, but if we ask at what constant velocity the object would have to travel to achieve the same displacement over the given time interval, that is what we call the object's average velocity. We will use the notation Vave[t1, t2] to indicate average velocity over the time interval from t₁ to t2. For instance, Vave [1, 3] is the average velocity over the time interval from t = 1 to t = 3. Figure x (meters) 60+ 40- 20- 3 t (seconds) 6 1 of 1 Part A Consulting the graph shown in the figure, find the object's average velocity over the time interval from 0 to 1 second. Answer to the nearest integer. ► View Available Hint(s) Vave [0, 1] = Submit Part B Vave [1, 3] = Π| ΑΣΦ Find the average velocity over the time interval from 1 to 3…
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Learning Goal: (Figure 1) In this problem you will determine the average velocity of a moving object from the graph of its position (t) as a function of time t. A traveling object might move at different speeds and in different directions during an interval of time, but if we ask at what constant velocity the object would have to travel to achieve the same displacement over the given time interval, that is what we call the object's average velocity. We will use the notation Vave[t1, t2] to indicate average velocity over the time interval from t₁ to t2. For instance, Vave[1, 3] is the average velocity over the time interval from t = 1 to t = 3. Figure x (meters) 60+ 40- 20- 2 t (seconds) 4 1 of 1 Part C Now find ve [0, 3]. Give your answer to three significant figures. View Available Hint(s) VE ΑΣΦ Vave [0, 3] = Vave Submit Part D Vave [3.0, 6.0] = Find the average velocity over the time interval from 3 to 6 seconds. Express your answer to three significant figures. ► View Available…