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Between two stations a train accelerates uniformly at first, then moves with constant speed and finally; retards uniformly to come to rest. If the ratios of time taken are 1:8:1 and the greatest speed is 60 km h-1, then the average speed over the whole journey is

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Important Questions on Kinematics

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A ball is thrown vertically upwards with a velocity of 30 ms-1. If the acceleration due to gravity is 10 ms-2, what will be the distance travelled by it in the last second of motion before again come to his hand:
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Two balls are dropped from different heights. One ball is dropped 2 sec after the other but they both strike the ground at the same time, 3 sec after the first is dropped. The difference in the heights at which they were dropped is
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Two bodies are thrown vertically upward, with the same initial velocity of 98 m s-1 but 4 s apart. How long after the first one is thrown when they meet?
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A particle moves with constant speed v along a regular hexagon ABCDEF in same order. (i.e. A to B,B to C,C to D,D to E,E to F and F to A). The magnitude of average velocity for its motion from A to C is
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A ball is dropped from a height of 20 m and rebounds with a velocity which is 34th of the velocity with which it hits the ground. What is the time interval between the first and second bounces g=10 m s-2
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The velocity displacement graph of a particle moving along a straight line is shown.

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The most suitable acceleration-displacement graph will be

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An electron starting from rest has a velocity that increases linearly with time i.e., v=kt, where k=2 ms-2. The distance covered in the first 3 second is
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A body is moving from rest under constant acceleration. Let S1 be the displacement in the first (p-1) sec and S2 be the displacement in the first p sec. The displacement in p2-p+1th sec will be