A goods train accelerating uniformly on a straight railway track, approaches an electric pole standing on the side of track. Its engine passes the pole with velocity u and the guard's room passes

Question

A goods train accelerating uniformly on a straight railway track, approaches an electric pole standing on the side of track. Its engine passes the pole with velocity u and the guard's room passes with velocity v . The middle wagon of the train passes the pole with a velocity.

TestHub · Accepted Answer

Let ' S ' be the distance between two ends ' a ' be the constant acceleration As we know V 2 − u 2 = 2 a S or, a S = 2 V 2 − u 2 ​ Let V be velocity at mid point. Therefore, V c 2 ​ − u 2 = 2 a 2 S ​ ​ V c 2 ​ = u 2 + a S V c 2 ​ = u 2 + 2 V 2 − u 2 ​ V c ​ = 2 u 2 + v 2 ​ ​ ​

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