HARD
11th Odisha Board
IMPORTANT
Earn 100

A particle is projected from the surface of earth vertically upward with a speed equal to half its escape velocity from earth. Taking earth to be a sphere of radius R calculate the height to which the particle rises above the surface of earth.

Important Questions on Projectile Motion

HARD
11th Odisha Board
IMPORTANT
A shell is fired from a cannon with a velocity 9 ms-1 at an angle θ with the horizontal direction. At the highest point of its path, it explodes into two pieces of equal mass. One of the pieces retraces its path into cannon. Find the speed of other pieces immediately after an explosion in terms of cosθ
MEDIUM
11th Odisha Board
IMPORTANT
A body is projected horizontally from the top of a cliff with a velocity of 9.8 m S-1. What time elapses before the horizontal and vertical velocities become equal? Given g=9.8 m S-2  [Write your answer excluding units of time]
HARD
11th Odisha Board
IMPORTANT
An aeroplane is flying horizontally at a height of 490 m with a velocity of 360 kmh-1. A bag containing food is to be dropped to the' Jawans on the ground. How far them the bag be released so that it fall over them?
HARD
11th Odisha Board
IMPORTANT

A projectile is thrown horizontally with a velocity of 49 m/s from the top of a tower. If it strikes the ground at an angle of 450. Find the height of the tower and the velocity with which it strikes the ground.

MEDIUM
11th Odisha Board
IMPORTANT
Two tall buildings are 200 m apart. Calculate the speed with which a stone must be thrown horizontally from a window 540 m above the ground in one building so that it will enter a window 50 m above the ground in other?
HARD
11th Odisha Board
IMPORTANT
An object of mass 10 kg is projected with velocity 20mS-1 at an angle 60° to the horizontal. At the highest point of its path the object explodes into two fragments of 5 kg each. The fragments separate horizontally after the explosion. The explosion releases internal energy so that the kinetic energy of the system is doubled. Calculate the total velocity of the two fragments.
HARD
11th Odisha Board
IMPORTANT
A particle is projected with velocity 2gh so that it just clears two walls of equal height h which are at distance 2h from each other. Prove that the time of flight between the two walls is 2hg.
HARD
11th Odisha Board
IMPORTANT

Establish the expression for the range and maximum height attained by a projectile. Prove that speed remaining constant the range is same for two angles of projection.