Marys train leaves at 7:15 AM and accelerates at the rate
Chapter 10, Problem 82(choose chapter or problem)
Marys train leaves at 7:15 AM and accelerates at the rate of 3 meters per second per second. Mary, who can run 6 meters per second, arrives at the train station 2 seconds after the train has left. (a) Find parametric equations that model the motion of the train and Mary as a function of time. [Hint: The position s at time t of an object having acceleration a is ] (b) Determine algebraically whether Mary will catch the train. If so, when? (c) Simulate the motions of the train and Mary by simultaneously graphing the equations found in part (a).
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