This question is a short free-response question. Show your work for each part of the question. A ball is thrown toward the ground. The figure shows the direction of the ball before it reaches the ground and the direction of the ball after it bounces off the ground. After the bounce, the ball leaves the ground with the same speed that it had before the bounce. The angle between the ground and the ball’s direction of travel is θ0 before and after the ball bounces off the ground. The positive directions are indicated in the figure.

Each grid below represents a component of the change in momentum of the ball as a result of the bounce. On each grid, draw a vector arrow to indicate the direction and relative magnitude of the change in momentum of the ball as a result of the bounce. If there is no change in momentum for a given component, write “NO CHANGE” under the corresponding grid.

A ball of mass M is released from rest at height H1 above the ground. After the ball reaches the ground, it bounces and travels to height H2 above the ground, as shown in the figure. In a clear, coherent paragraph-length response that may also contain equations and drawings, explain, using the conservation of momentum and the conservation of energy, why H2 < H1.