When a ball is dropped from a height of 10 feet, it falls to the ground due to gravity and then bounces back up. In this scenario, each time the ball hits the floor, it bounces back to 34% of the height from which it fell.
For the first bounce, the height will be:
Height after first bounce = 10 feet × 0.34 = 3.4 feet
This means that after it hits the floor for the first time, the ball will bounce back to a height of 3.4 feet. The ball will continue to bounce, but each subsequent bounce will be 34% of the height of the previous bounce.
To find the height of the second bounce, we take the height of the first bounce:
Height after second bounce = 3.4 feet × 0.34 = 1.156 feet
And this process continues with each successive bounce getting smaller. It’s fascinating to see how the height decreases significantly after each bounce, illustrating the concept of energy loss during the bounce.