A runner is at the starting gate and hears the starting gun. He begins running w

Question

A runner is at the starting gate and hears the starting gun. He begins running with a constant acceleration a_1 = 0.55 m/s^2. He crosses the finish line at d = 100 m and then begins slowing down. It takes him t_r to cross the finish line. It takes him t_t = 5.5 s to return to rest after crossing the finish line. Use the given coordinate system where x is positive to the right. Find an expression for the time it takes for the runner to cross the finish line, t_r, from the start in terms of d and a_1.

Explanation / Answer

A)

d = 1/2ai*tr^2

tr = sqrt(2d/ai) ......... from d = 1/2at^2

tr = sqrt[(2 x 100) / 0.55]

tr = 19.1 sec

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