
The benches of a gallery in a cricket stadium are wide and high. A batsman strikes the ball at a level of above the ground and hits a mammoth sixer. The ball starts at at an angle of with the horizontal. The benches are perpendicular to the plane of motion and the first bench is from the batsman. On which bench will the ball hit?

Important Questions on Kinematics




A small cannon is mounted on a platform (which can be rotated so that the cannon can aim at any point) and is adjusted for the maximum range of shells. It can throw shells at any point on the shown circle (dotted) on the ground. Suddenly a wind storm starts blowing in a horizontal direction normal to with a speed times the velocity of the shell. At what least distance can the shell land from point . (Assume that the velocity of the wind storm is imparted to the shell in addition to its velocity of projection. Also, assume that the platform is kept stationary while projecting the shell.)

A body falls freely from some altitude . At the moment the first body starts falling another body is thrown from the earth's surface, which collides with the first at an altitude . The horizontal distance of that point of collision is from the starting point of . Find the initial velocity and the angle at which it was thrown?

The time interval between the firings and
The coordinates of the point . Take the origin of the coordinate system at the foot of the hill right below the muzzle and trajectories in plane.

