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A ball is dropped vertically from a height d above the ground. It hits the ground and bounces up vertically to a height d/2. Neglecting subsequent motion and air resistance, its velocity v varies with height h above the ground as

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Important Questions on Kinematics

EASY
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IMPORTANT
At what angle θ to the horizontal should an object is projected so that the maximum height reached is equal to the horizontal range?
MEDIUM
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IMPORTANT
An aeroplane is flying in a horizontal direction with a velocity u and at a height of 2000 m. When it is vertically below a point A on the ground a food packet is released from it. The packet strikes the ground at point B. If AB=3 km and g=10 m s-2, then the value of u is
HARD
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IMPORTANT
The horizontal range and maximum height attained by a projectile are R and H respectively. If a constant horizontal acceleration a=g4 is imparted to the projectile due to wind, then its horizontal range and maximum height will be 
EASY
BITSAT
IMPORTANT

The velocity of a projectile at the initial point A is 2i^-3j^ m s-1. Its velocity (in m s-1) at point B is

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MEDIUM
BITSAT
IMPORTANT
A particle moving along X-axis has acceleration f, at time t given byf=f01-tT, where f0 and T are constants. The particle at t=0 and the instant when f=0, the particle's velocity vx is