A man is sitting in a train which is moving with a velocity of 60 km/h

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A man is sitting in a train which is moving with a velocity of 60 km/hour. His speed with respect to the train is:

10/3 m/s
60 m/s
infinite
zero
This question was previously asked in
UPSC NDA-2 – 2015
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The correct answer is D) zero.
The question asks for the man’s speed *with respect to the train*. Since the man is sitting *in* the train, he is at rest relative to the train. His position relative to any point inside the train does not change.
His speed with respect to an observer outside the train would be 60 km/hour, but the reference frame specified is the train itself. Relative velocity is calculated based on the difference in velocities of the two objects. If the man’s velocity relative to the ground is V_man_ground and the train’s velocity relative to the ground is V_train_ground, the man’s velocity relative to the train is V_man_train = V_man_ground – V_train_ground. Since the man is sitting still in the train, V_man_ground = V_train_ground. Thus, V_man_train = 0.

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