Solved: Careful measurements have been made of Olympic

Chapter 2, Problem 79CP

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Careful measurements have been made of Olympic sprinters in the \(100 -meter\) dash. A simple but reasonably accurate model is that a sprinter accelerates at \(3.6 \mathrm{~m} / \mathrm{s}^{2}\) for \(3 \frac{1}{3} s\), then runs at constant velocity to the finish line.

a. What is the race time for a sprinter who follows this model?

b. A sprinter could run a faster race by accelerating faster at the beginning, thus reaching top speed sooner. If a sprinter's top speed is the same as in part a, what acceleration would he need to run the \(100 -meter\) dash in \(9.9 \mathrm{~s}\) ?

c. By what percent did the sprinter need to increase his acceleration in order to decrease his time by \(1 \%\)?

Equation Transcription:

Text Transcription:

100 meter

3.6 m/s^2

3 1/3s

100 meter

9.9 s

1%

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