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Sears and Zemansky's University Physics with Modern Physics | 13th Edition | ISBN: 9780321696861 | Authors: Hugh D. Young; Roger A. Freedman; A. Lewis Ford
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Solved: A world-class sprinter accelerates to his maximum

Chapter 2, Problem 65P

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QUESTION:

Problem 65P

A world-class sprinter accelerates to his maximum speed in 4.0 s. He then maintains this speed for the remainder of a 1 00-m race, finishing with a total time of 9.1 s. (a) What is the runner’s average acceleration during the first 4.0 s? (b) What is his average acceleration during the last 5.1 s? (c) What is his average acceleration for the entire race? (d) Explain why your answer to part (c) is not the average of the answers to parts (a) and (b).

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QUESTION:

Problem 65P

A world-class sprinter accelerates to his maximum speed in 4.0 s. He then maintains this speed for the remainder of a 1 00-m race, finishing with a total time of 9.1 s. (a) What is the runner’s average acceleration during the first 4.0 s? (b) What is his average acceleration during the last 5.1 s? (c) What is his average acceleration for the entire race? (d) Explain why your answer to part (c) is not the average of the answers to parts (a) and (b).

ANSWER:

Solution to 65P

The sprinter reaches maximum speed in 4s in a 100m race. After 4s, the sprinter continues in a uniform velocity till 9.1s.

Part A

 Step 1,

u=0m/s

t=4s

v=u+at

v=4a (V=v(max))…………………………………………..(1)

Here, s’=0.5xax16=8a

s’=8a……………………………………………………..(2)

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