Coefficient Of Restitution

Statement-1 : The coefficient of restitution is less than one for all collision studied under Newton's laws of restituation. and Statement-2 : For a perfeclty elastic collision, coefficient of restitution is equal to one .

A ball is projected with initial velocity u at an angle theta to the horizontal. Then horizontal displacement covered by ball as it collides third time to the ground would be, if coefficient of restitution is e :

Hailstorms are observed to stike the surface of a frozen lake at an angle of 30^(@) with the vertical and rebound at an angle of 60^(@) with vertical. Assuming the contact to be smooth, the coefficient of restitution is

A ball is projected in a direction inclined to the vertical and bounces on a smooth horizontal plane. The range of one rebound is R . If the coefficient of restitution is e , then range of the next rebound is