(a) Explanation Write the expression for the covered distance at a certain time when the car catches the bicycle. ( Δ x b ) = ( Δ x c ) (I) Here, ( Δ x b ) is the distance covered by bicycle and ( Δ x c ) is the distance covered by the car. Write the equation for distance covered by the bicycle. ( Δ x b ) = [ v b , f ( t − t b ) ] + 1 2 a b t b 2 (II) Here, v b , f is the final velocity of bicycle, a b is the acceleration of the bicycle, t is the total time and t b is the time taken by bicycle to reach maximum speed. Write the expression for the time taken by the bicycle. t b = v b , f − v b , i a b (III) Here, v b , i is the initial velocity of bicycle. Rewrite the expression distance covered by the bicycle. ( Δ x b ) = [ v b , f ( t − [ v b , f − v b , i a b ] ) ] + { 1 2 a b [ v b , f − v b , i a b ] 2 } (IV) Write the expression for the distance covered by the car. ( Δ x c ) = 1 2 a c t 2 (V) Here, a c is the acceleration of the car. Rewrite the expression from equation (I) by using (IV) and (V). [ v b , f ( t − [ v b , f − v b , i a b ] ) ] + { 1 2 a b [ v b , f − v b , i a b ] 2 } = 1 2 a c t 2 (VI) Conclusion: Substitute 20 (b) To determine The maximum distance the bicycle will lead the car.

Bundle: Physics for Scientists and Engineers with Modern Physics, Loose-leaf Version, 9th + WebAssign Printed Access Card, Multi-Term

9th Edition

ISBN: 9781305932302

Author: Raymond A. Serway, John W. Jewett

Publisher: Cengage Learning

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Chapter 2, Problem 82CP

(a)

To determine

The time interval at which the bicycle is ahead of the car.

(b)

To determine

The maximum distance the bicycle will lead the car.

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Chapter 2, Problem 81CP

Chapter 2, Problem 83CP

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Chapter 2 Solutions

Bundle: Physics for Scientists and Engineers with Modern Physics, Loose-leaf Version, 9th + WebAssign Printed Access Card, Multi-Term

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The time interval at which the bicycle is ahead of the car.

Solution Summary: The author writes the expression for the covered distance at a certain time when the car catches the bicycle.

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The time interval at which the bicycle is ahead of the car.

The maximum distance the bicycle will lead the car.

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Chapter 2 Solutions