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A long train crosses a man travelling at , in opposite direction in seconds, then the velocity of train is
(a)
(b)
(c)
(d)

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Important Questions on Kinematics
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An elevator is accelerating upward at a rate of when a bolt from its ceiling falls to the floor of the lift (Distance feet). The time (in seconds) taken by the falling bolt to hit the floor is (take )

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A long train is moving due north with a speed of . A small bird is flying due south a little above the train with speed. The time taken by the bird to cross the train is

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Two balls are thrown simultaneously, Vertically upwards with a speed of from the ground and vertically downwards from a height of with the same speed and along the same line of motion. At which point will the balls collide? (take )

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A body is thrown up vertically from the ground with velocity and another body is simultaneously dropped from a height . They meet at a height , if is equal to

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A boy is running on a levelled road with the velocity with a long hollow tube in his hand. Water is falling vertically downwards with velocity . At what angle to the vertical, should he incline the tube so that the water drops enter without touching its side:

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A river flows from east to west with a speed of . A man on the south bank of the river, capable of swimming at the rate of in still water, wants to swim across the river in the shortest time. He should swim

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A boat is sailing with a velocity with respect to ground and water in the river is flowing with a velocity . The relative velocity of the boat with respect to water is:

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A river is flowing at the rate of . A swimmer swims across the river with a velocity of with respect to water. The resultant velocity of the man will be in :-
