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A particle is thrown vertically upwards. Its velocity, at half of the maximum height, is 10 m s-1. The maximum height attained by the body is g=10 m s-2

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Important Questions on Motion in a Straight Line

MEDIUM
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IMPORTANT
A body starts falling from height h and travels a distance h2, during last second of its motion. Then, the time it takes in free fall is(in seconds).
MEDIUM
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A stone falls freely such that, the distance covered by it in the last second of its motion is equal to the distance covered by it in the first 5 s. It remained in the air for
MEDIUM
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When a ball is thrown vertically up with velocity v0, it reaches a maximum height of h. If one wishes to triple the maximum height, then the ball should be thrown with velocity
EASY
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A bus accelerates from rest, for time t1, at a constant rate α and then retards at a constant rate β, for time t2, and comes to rest. Then t1t2 is
MEDIUM
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The engine of a train passes an electric pole with a velocity u and the last compartment of the train crosses the same pole with a velocity v. Then, the velocity with which the mid-point of the train passes the pole is
HARD
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IMPORTANT
A student is standing at a distance of 50 m behind a bus. As soon as the bus begins its motion with an acceleration of 1 m s-2, the student starts running towards the bus with a uniform velocity u m s-1. Assuming the motion to be along straight road, the minimum value of u, so that the student is able to catch the bus, is
HARD
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IMPORTANT
From a tower of height H, a particle is thrown vertically upwards with speed u. The time taken by the particle to hit the ground is n times than that taken by it to reach the highest point of its path. The relation between H, u and n is
MEDIUM
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A bus starts from rest moving with an acceleration of 2 m s-2. A cyclist 96 m behind the bus starts simultaneously towards the bus at 20 m s-1. After what minimum time he will be able to overtake the bus?