MEDIUM
JEE Main
IMPORTANT
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A ball is projected vertically upward with an initial velocity of 50 m s-1 at t=0 s. At t=2 s, another ball is projected vertically upward with same velocity. At t=____s, second ball will meet the first ball g=10 m s-2.

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Important Questions on Kinematics

EASY
JEE Main
IMPORTANT
An object is thrown vertically upwards. At its maximum height, which of the following quantity becomes zero ?
EASY
JEE Main
IMPORTANT
A fighter jet is flying horizontally at a certain altitude with a speed of 200 m s-1. When it passes directly overhead an anti-aircraft gun, a bullet is fired from the gun, at an angle θ with the horizontal, to hit the jet. If the bullet speed is 400 m s-1, the value of θ will be _____ °.
EASY
JEE Main
IMPORTANT
A ball of mass 0.5 kg is dropped from the height of 10 m. The height, at which the magnitude of velocity becomes equal to the magnitude of acceleration due to gravity, is _____ m. [Use g=10 m s-2 ]
MEDIUM
JEE Main
IMPORTANT
A projectile is launched at an angle α with the horizontal with a velocity 20 m s-1. After 10 s, its inclination with horizontal is β. The value of tanβ will be : g=10 m s-2.
HARD
JEE Main
IMPORTANT
A girl standing on road holds her umbrella at 45° with the vertical to keep the rain away. If she starts running without umbrella with a speed of 152 km h-1, the rain drops hit her head vertically. The speed of rain drops with respect to the moving girl is
MEDIUM
JEE Main
IMPORTANT
When a ball is dropped into a lake from a height 4.9 m above the water level, it hits the water with a velocity v and then sinks to the bottom with the constant velocity v. It reaches the bottom of the lake 4.0 s after it is dropped. The approximate depth of the lake is 
EASY
JEE Main
IMPORTANT
Motion of a particle in x-y plane is described by a set of following equations x=4sinπ2-ωt m and y=4sinωt m. The path of the particle will be
MEDIUM
JEE Main
IMPORTANT
A block of mass 2 kg moving on a horizontal surface with speed of 4 m s-1 enters a rough surface ranging from x=0.5 m to x=1.5 m. The retarding force in this range of rough surface is related to distance by F=-kx where k=12 N m-1. The speed of the block as it just crosses the rough surface will be