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A ball is horizontally projected with a speed v from the top of a plane inclined at an angle 45° with the horizontal. How far from the point of projection will the ball strike the plane?

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Important Questions on Kinematics

MEDIUM
JEE Main/Advance
IMPORTANT
A particle is projected at angle 37° with the incline plane in upward direction with speed 10 m s-1. The angle of the inclined plane is given 53°. Then the maximum distance from the inclined plane attained by the particle will be-
MEDIUM
JEE Main/Advance
IMPORTANT
On an inclined plane of inclination 30°, a ball is thrown at an angle of 60° with the horizontal from the foot of the incline with a velocity of 103 m s-1. If g=10 m s-2, then the time in which the ball will hit the inclined plane is 30°.
MEDIUM
JEE Main/Advance
IMPORTANT

Three stones A, B, C are projected from the surface of a very long inclined plane with equal speeds and different angles of projection as shown in the figure. The incline makes an angle θ with horizontal. If HA, HB and HC are maximum height attained by A, B and C respectively above inclined plane then: (Neglect air friction)

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MEDIUM
JEE Main/Advance
IMPORTANT
A particle moves in the xy plane with only an x -component of acceleration of 2 m s-2. The particle starts from the origin at t=0 with an initial velocity having an x -component of 8 m s-1 and y -component of -15 m s-1. Velocity of the particle after time t is :
EASY
JEE Main/Advance
IMPORTANT
A plane flying horizontally at a height of 1500 m with a velocity of 200 m s-1 passes directly overhead an antiaircraft gun. Then the angle with the horizontal at which the gun should be fired for the shell with a muzzle velocity of 400 m s-1 to hit the plane is -
MEDIUM
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IMPORTANT
If R and h represent the horizontal range and maximum height respectively of an oblique projection whose start point (i.e. point of projection) and endpoint are in same horizontal level. ThenR28h+2h represents
MEDIUM
JEE Main/Advance
IMPORTANT
A projectile is thrown with velocity v making an angle θ with the horizontal. It just crosses the top of two poles, each of height h, after 1 second and 3 second respectively. The time of flight of the projectile is
MEDIUM
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IMPORTANT

A stone projected at an angle of 60° from the ground level strikes at an angle of 300 on the roof of a building of height h. Then the speed of projection of the stone is:

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