I can't understand why a ball bounces many time before coming to a rest

When a ball bounces many times before coming to rest, it is due to the conservation of energy and the elastic properties of the ball and the surface it is bouncing on.

Let's break it down step by step:

1. When a ball is dropped or thrown onto a surface, it possesses potential energy, which is converted into kinetic energy as it starts to move downward.

2. As the ball hits the surface, it undergoes a collision. The surface applies an upward force on the ball, causing it to deform slightly.

3. The deformation of the ball stores potential energy in its compressed form, like a compressed spring, while simultaneously converting some of the kinetic energy into internal energy (heat) due to the collision.

4. The compressed ball then releases this potential energy, causing it to rebound back into the air.

5. The ball now possesses kinetic energy again and rises back up. But it doesn't regain the exact same height as its initial drop due to the loss of energy during the collision and internal energy conversion.

6. The process repeats as the ball falls, rebounds, rises, and falls again. With each bounce, the ball loses some energy due to internal friction and other factors like air resistance. This loss of energy gradually reduces the height and speed of each subsequent bounce.

7. Eventually, the bounces become smaller and smaller until the ball comes to a rest on the surface, unable to rebound any further.

Therefore, the repeated bouncing of a ball is a result of the interplay between kinetic and potential energy, as well as the ball's elastic properties and the dissipative forces at play.