A train is moving towards a destroyed bridge. The velocity of the train remains

Question

A train is moving towards a destroyed bridge. The velocity of the train remains constant at 20 m/s. A person inside the train realizes that they will die unless they run to the back of the train and jump out. If the person is 15 m from the back of the train and the back of the train is 50 m from the break in the track, what velocity must the person run with to make it to the back of the train just as the back of the train goes over the break in the bridge... a. relative to the train? b. relative to the ground?

Explanation / Answer

Let the velocity of the person = v Time = 50/20 s = 2.5 sec In this time he has to jump from back v=15/2.5 = 6m/s with respect to train opposite of train velocity actual veocity with respect to ground = 20-6 = 14m/s towards train direction

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