5. The speed of an object is given as a function of time t by: v(t) = 6t – 3t² + 24 %3D a) Determine the time it takes to bring the car to a complete stop. b) Find the displacement of the object from t=0s until it stops c) Develop an equation for the acceleration of the car as a function of time t. d) Find the maximum speed of the object

5. The speed of an object is given as a function of time t by: v(t) = 6t – 3t² + 24 %3D a) Determine the time it takes to bring the car to a complete stop. b) Find the displacement of the object from t=0s until it stops c) Develop an equation for the acceleration of the car as a function of time t. d) Find the maximum speed of the object

Physics for Scientists and Engineers with Modern Physics

10th Edition

ISBN:9781337553292

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter2: Motion In One Dimension

Section: Chapter Questions

Problem 9P: Figure P2.9 shows a graph of vx versus t for the motion of a motorcyclist as he starts from rest and...

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Acceleration a has the dimensions of length per time squared, speed v has the dimensions of length per time, and radius r has the dimension of length. Which of the following expressions may be correct? Explain your answer in each case. a. a = vr b. a = v/r c. a = v2/r d. a = v/r2
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Figure P2.9 shows a graph of vx versus t for the motion of a motorcyclist as he starts from rest and moves along the road in a straight line. (a) Find the average acceleration for the time interval t = 0 to t = 6.00 s. (b) Estimate the time at which the acceleration has its greatest positive value and the value of the acceleration at that instant. (c) When is the acceleration zero? (d) Estimate the maximum negative value of the acceleration and the time at which it occurs. Figure P2.9
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