A fort is at the top of a hill of height h above the sea-level.Prove that the greatest horizontal distance from which a gun in the ship can hit the fort is `2sqrt(k(k-h))` where `sqrt(2gk)` is the muzzle velocity.

A projectile is launched at an angle alpha from a cliff of height H above the sea level. If it falls into the sea at a distance D from the base of the cliff, show that its maximum height above the sea level is [H+(D^(2) tan^(2) alpha)/(4(H+D tan alpha))]

A projectile is fired horizontally with velocity of 98 m/s from the top of a hill 490 m high. Find (a) the time taken by the projectile to reach the ground, (b) the distance of the point where the particle hits the ground from foot of the hill and (c) the velocity with which the projectile hits the ground. (g= 9.8 m//s^2) .

A stone is projected at an angle alpha to the horizontal from the top of a tower of height 3h If the stone reaches a maximum height h above the tower, then calculate the distance from the foot of the tower where particle strikes the foot of the where particle strikes the ground.

A body, rpojected horizontally with a speed u from the top of a tower of height h , reaches the ground at a horizontally distance R from the tower. Another body, projected horizontally from the top of a tower of height 4h , reaches the ground at horizontal distance 2R from the tower. The initial speed of the second body is

A particle is fired horizontally with a velocity of 100 ms^(-1) for the top of a hill 400 m high. Find (i) the time taken to reach the ground (ii) thedistance of the target from the hill and (iii) the velocity with which the projectile hits the ground. Take g= 10 ms^(-2) .

A particle is projected from a point on the level ground and its height is h when at horizontal distances a and 2 a from its point of projection. Find the velocity of projection.

A body projected horizontally with a velocity V from the top of a tower of height h touches the level ground at a distance X from the foot of the tower. Another body is projected horizontally with velocity 2V simultaneously from the same point exactly in the opposite direction. On reaching the ground, separation between the two bodies is?

(a) With what velocity (v_0) should a ball be projected horizontally from the top of a tower so that the horizontal distance on the ground is eta H , where H is the height of the tower ? (b) Also determine the speed of the ball when it reaches the ground. .

A stone is thrown up from the top of a tower 20,m with a velocity of 24m/s a tan elevation of 30^(@) above the horizontal. Find the horizontal distance from the foot of the tower to the point at which the stone hits the ground. Take g = 10 m//s^(2)