Solved: A running model A model for the startup of a
Chapter 6, Problem 40(choose chapter or problem)
A running model A model for the startup of a runner in a short race results in the velocity function v1t2 = a11 - e-t>c2, where a and c are positive constants and v has units of m>s. (Source: A Theory of Competitive Running, Joe Keller, Physics Today 26, Sep 1973) a. Graph the velocity function for a = 12 and c = 2. What is the runners maximum velocity? b. Using the velocity in part (a) and assuming s102 = 0, find the position function s1t2, for t 0. c. Graph the position function and estimate the time required to run 100 m.
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