Should wizard hit the mommy?

A jet aeroplane is flying at a constant height of 2 km with a speed 360 kmh^(-1) above the ground towards a target and releases a bomb. After how much time it will hit the target and what will be the horizontal distance of the aeroplane from the target so that the bomb should hit the target ? (Take g = 10 ms^(-2))

A bullet fired at an angle of 60^(@) with the vertical hits the levelled ground at a distance of 200 m . Find the distance at which the bullet will hit the ground when fired at angle of 30^(@) . (with same speed).

A bomb is fired from a cannon with a velocity of 1000 ms^(-1) making an angle of 30^(@) with the horizontal (g = 9.8 m//s^(2)). With what speed the bomb will hit the ground and what will be it direction of motion while hitting?

A bullet is fired at an angle of 15^(@) with the horizontal and it hits the ground 3 km away. Can we hit a target at a distance of 7 km by just adjusting its angle of projection ?

A stone is dropped from a height h . It hits the ground with a certain momentum P . If the same stone is dropped from a height 100% more thanthe preyiious height, the momentum when it hits the ground will change by

A ball is hit by a batsman at an angle of 37^(@) as shown in figure. The man standing at P should run at what minimum velocity so that he catches the ball before it strikes the ground. Assume that height of man is negligible in comparison to maximum height of projectile.

A level flight olane flying at an altitude of 1024 ft with a speed of 240 ft/s is overtaking a motor boat travelling at 80 ft/s in the same direction as the plane. At what horizontal distance before the boat should a bag be dropped from the plane in order to hit the boat ? [ g = 32 " ft/s"^(2) ]

A ball is drpped from rest at height 4h . After it has fallen a distance d , a second ball is dropped from rest at height h . What should d be (in terms of h ) so that the balls hit the ground at the same time?

A thin spherical shell of radius R lying on a rough horizontal surface is hit sharply and horizontally by a cue. Where should it be hit so that the shell does not slip on the surface?

A boy throws a ball with a velocity u at an angle theta with the horizontal. At the same instant he starts running with uniform velocity to catch the ball before it hits the ground. To achieve this he should run with a velocity of