a) Explanation Given: Acceleration of the vehicle is given by a t = − 3.52 t . Calculation: Velocity function v t is obtained by integrating acceleration a t = − 3.52 t with respect to time t . v t = ∫ a t d t = ∫ − 3.52 t d t = − 3.52 t 2 2 + C = − 1.76 t 2 + C Therefore, v t = − 1.76 t 2 + C where C is a constant b) To determine To find: Distance travelled by the car.

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ISBN: 9780136423287

Author: BITTINGER

Publisher: PEARSON

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Chapter 4.3, Problem 85E

To determine

To find: Velocity function vt over 0,5 .

To determine

To find: Distance travelled by the car.

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Chapter 4.3, Problem 84E

Chapter 4.3, Problem 86E

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Velocity function v t over 0 , 5 .

Solution Summary: The author calculates the Velocity function v(t) by integrating acceleration with time. When motorist applied brakes, velocity is 44ft