Catching a Train Bill's train leaves at 8:06 AM an d
Chapter , Problem 11.7.51(choose chapter or problem)
Catching a Train Bill's train leaves at 8:06 AM an d accelerates at the rate of 2 meters per secon d per secon d. Bill, who can run 5 meters per secon d, arrives at the train station 5 secon ds after the train has left an d runs for the train . (a) Fin d parametric equations that describe the motions of the train an d Bill as a fun ction of time. [Hint: The position s at time t of an object having 1 acceleration a is s = z at2 ] (b) Determine algebraically whether Bill will catch the train. If so, when? - (c) Simulate the motion of the train an d Bill by simultan eously graphing the equations foun d in part (a).
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