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Speeds of two identical cars are u are 4u at a specific instant. The ratio of the respective distances in which the two cars are stopped in the same time

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Important Questions on Kinematics

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A particle is thrown vertically upward from ground. It experiences a constant air resistance which can produce a uniform retardation of 2 m s-2 opposite to direction of velocity of particle. The ratio of time of ascent to time of descent is g=10 m s-2 :-
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A block is moving down a smooth inclined plane starting from rest at time t=0. Let Sn be the distance travelled by the block in the interval t=n-1 to t=n. The ratio SnSn+1 is 
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An alpha particle enters a hollow tube of 4 m length with an initial speed of 1 km s-1. It is accelerated in the tube and comes out of it with a speed of 9 km s-1. The time for which it remains inside the tube is
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A student is standing at a distance of 50 m from the bus. As soon as the bus begins its motion with an acceleration of 1 m s-2, the students starts running towards the bus with a uniform velocity u. Assuming the motion to be along a straight road, the minimum value of u, so that the student is able to catch the bus is
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A man throws balls with the same speed vertically upwards one after the other at an interval of 2 s. What should be the speed of throw so that more than two balls are in the sky at any time? (Given g=9·8 m s-2 )
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A ball is thrown vertically upward. It has a speed of 10 m s-1 when it has reached one half of its maximum height. How high does the ball rise? Take g=10 m s-2
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Two bodies A (of mass 1kg ) and B (of mass 3kg ) are dropped from a height of 16 m and 25 m respectively. The ratio of the time taken by them to reach the ground is
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The distance travelled by a particle starting from rest and moving with an acceleration  43 m s2 in the third second is: