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Question

A man sitting on a train in motion is facing the engine. He tosses a coin up, the coin falls behind him. This means the train is moving:

A
forward with uniform speed
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B
backward with uniform speed
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C
forward with acceleration
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D
forward with deceleration
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Solution

The correct option is C forward with acceleration
Let us consider that the train is moving forward with an acceleration. In the train frame (or man's frame), a pseudo force is acting on the coin in backward direction which takes the coin in the backward direction w.r.t. the man. Thus by the time, the coin reaches the floor of the train, it falls behind the man.

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