Yes, the bounce of a ball does affect its height. When a ball is dropped, it experiences a force due to gravity which pulls it towards the ground. As the ball falls, its potential energy is converted into kinetic energy. When the ball hits the ground, some of its kinetic energy is converted into heat and sound, and the rest is converted back into potential energy as the ball bounces up. The height to which the ball bounces back depends on the amount of energy that is converted back into potential energy. If the ball is dropped from a greater height, it will have more kinetic energy when it hits the ground and will therefore bounce back to a greater height. Additionally, the elasticity of the ball also plays a role in determining the height of the bounce. A more elastic ball will convert more of its kinetic energy back into potential energy and will therefore bounce back to a greater height.