A small ball is projected at an angle `alpha` between two vertical walls such that in the absence of the wall its range would have been `5d`. Given that all the collisions are perfectly elastic, find.
(a) maximum height atained by the ball.
(b) total number of collisions with the walls before the ball comes back to the ground, and
(c) point at which the ball finally falls. The walls are supposed to be very tall.

A small ball is projected at an angle alpha with an initial velocity u between two vertical walls such that in the absence of the wall its range would have been 5d . Given that all the collisions are perfectly elastic and distance between the walls be d/2 , find. (a) maximum height atained by the ball. (b) total number of collisions with the walls before the ball comes back to the ground, and (c) point at which the ball finally falls. The walls are supposed to be very tall.

Suppose a ball is projected with speed u at an angle alpha with horizontal. It collides at some distance with a wall parallel to y-axis. Let v_(x) and v_(y) be the components of its velocity along x and y-directions at the time of impact with wall. Coefficient of restitution between the ball and the wall is e . Component of its velocity along y -diection (common tangent) v_(y) will remain unchanged while component of its velocity along x -direction (common normal) v_(x) will become ev_(x) is opposite direction. The situation shown in the figure a small ball is projected at an angle alpha between two vertical walls such that in the absence of the wall its range would have been 5d . Given that all the collisions are perfectly elastic (for first and second problems), the walls are supposed to be very tall. The total time taken by the ball to come back to the ground (if collision is inelastic) is

Two large rigid vertical walls A and B are parallel to each other and separated by 10m . A particle of mass 10g is projected with an initial velocity of 20m//s at 45^@ to the horizontal from point P on the ground, such that AP=5m . The plane of motion of the particle is vertical and perpendicular to the walls. Assuming that all the collisions are perfectly elastic, find the maximum height attained by the particle and the total number of collisions suffered by the particle with the walls before it hits ground. Take g=10m//s^2 .

Two large rigid vertical walls A and B are parallel to each other and separated by 10m . A particle of mass 10g is projected with an initial velocity of 20m//s at 45^@ to the horizontal from point P on the ground, such that AP=5m . The plane of motion of the particle is vertical and perpendicular to the walls. Assuming that all the collisions are perfectly elastic, find the maximum height attained by the particle and the total number of collisions suffered by the particle with the walls before it hits ground. Take g=10m//s^2 .

In the previous problem , if the collision is head - on elastic , find (a) the velocities of balls immediately after the collision and (b) the maximum height attained by eacl ball.

A small ball is projected with a velocity u at some angle with horizontal towards a smooth vertical wall at a distance d from the point of projection after rebounding from the wall . If e is the coefficient of restitution then find maximum distance d for which ball may return to point of projection .

A ping-pong ball strikes a wall with a velocity of 10 ms^(-1) . If the collision is perfectly elastic, find the velocity if ball after impact

A ping-pong ball strikes a wall with a velocity of 10 ms^(-1) . If the collision is perfectly elastic, find the velocity if ball after impact

A ball is projected with velocity v_(0) at an angle alpha to the horizonal, towards a smooth wall which appraches the ball. With velocity u. After collision the ball retraces its path to the point of projection . What is the time t taken by the ball form the instant of projection to point of impact ?