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Q.

A and B are two trains moving parallel to each other. If a ball is thrown vertically up from the train A, the path of the ball is

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a

parabola for an observer standing on the ground

b

vertical straight line for an observer in B when B is moving with the same speed in the same direction of A

c

a parabola for an observer in B when B is moving with same speed but in opposite direction

d

all the above are true

answer is D.

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Detailed Solution

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For observer on the ground, the ball will have initial velocity equal to the velocity of the train in horizontal direction. So, the stone will move as horizontal projection following a parabolic path.

For observer in the train B, initial horizontal velocity of the ball is zero if both the trains are moving in the same directions with same velocity, so, it seems to fall in vertically downward direction.

For observer in the train B, initial horizontal velocity of the stone is double of the velocity of the trains if both the trains are moving in the opposite directions with same velocity, so, it seems to fall in a parabolic path.

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