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 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 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 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 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 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 ball is thrown from a point in level with velocity u and at a horizontal distance r from the top os a tower of height h . At what horizontal distance x from the foot of the tower does the ball hit the ground ?