Chapter 2, Problem 77GP

We've seen that a man's higher initial acceleration means that a man can outrun a horse over a very short race. A simple—but plausible—model for a sprint by a man and a horse uses the following assumptions: The man accelerates at 6.0 m/s² for 1.8 s and then runs at a constant speed. A horse accelerates at a more modest 5.0 m/s² but continues accelerating for 4.8 s and then continues at a constant speed. A man and a horse are competing in a 200 m race. The man is given a 100 m head start, so he begins 100 m from the finish line. How much time does the man take to complete the race? How much time does the horse take? Who wins the race?