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Two trains A and B, which are 100 km apart, are travelling towards each other on different tracks with each having an initial speed of 50 km h-1. The train A accelerates at 20 km h-2 and the train B retards at the rate of 20 km h-2. The distance covered by train A when they cross each other is

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Important Questions on Kinematics

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A bus is moving with a speed of 10 m s-1 on a straight road. A scooterist wishes to overtake the bus in 100 s. If the bus is at a distance of 1 km from the scooterist, with what speed should the scooterist chase the bus?
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A 120 m long train is moving towards west with a speed of 10 m/s. A bird flying towards east with a speed of 5 m/s crosses the train. The time taken by the bird to cross the train will be -
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A particle is thrown up inside a stationary lift of sufficient height. The time of flight is T. Now it is thrown again with same initial speed v0 with respect to lift. At the time of second throw, lift is moving up with speed v0 and uniform acceleration g upward (the acceleration due to gravity). The new time of flight is:
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Two men P and Q are standing at corners A and B of square ABCD of side 8 m. They start moving along the track with constant speed 2 m s-1 and 10 m s-1 respectively. Find the time when they will meet for the first time.

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A coin is released inside a lift at a height of 2 m from the floor of the lift. The height of the lift is 10 m. The lift is moving with an acceleration of 9 m/s2 downwards. The time after which the coin will strike with the floor of lift is : g=10 m/s2
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A man in a balloon throws a stone downwards with a speed of 5 m s-1 with respect to the balloon. The balloon is moving upwards with a constant acceleration of 5 m s-2. Then velocity of the stone relative to the man after 2 second is:

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Two particles are moving along a straight line as shown. The velocity of approach between A and B is

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A jet airplane traveling from east to west at a speed of 500 km h-1 ejects outgases of combustion at a speed of 1500 km h-1 with respect to the jet plane. What is the velocity of the gases with respect to an observer on the ground?