The 2007 world record for the men’s 100-m dash was 9.77 s. The third-place runner crossed the finish line in 10.07 s. When the winner crossed the finish line, how far was the third-place runner behind him?
a) Compute an answer that assumes that each runner ran at his average speed for the entire race.
b) Compute another answer that uses the result of Example 2.3, that a world-class sprinter runs at a speed of 12 m/s after an initial acceleration phase. If both runners in this race reach this speed, how far behind is the third-place runner when the winner finishes?
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