A ball was dropped from a height of 80m above a concrete floor. It rebounded to a height of 0.5 of it's previous height at each rebound .After how many bounces is d ball 2.5m high
To find out the number of bounces it takes for the ball to reach a height of 2.5m, we can use a formula to calculate the rebound height for each bounce. Let's break down the problem step by step.
1. Initially, the ball is dropped from a height of 80m.
2. After the first bounce, the ball reaches a height of 0.5 * 80m = 40m.
3. After the second bounce, the ball reaches a height of 0.5 * 40m = 20m.
4. After the third bounce, the ball reaches a height of 0.5 * 20m = 10m.
5. After the fourth bounce, the ball reaches a height of 0.5 * 10m = 5m.
6. After the fifth bounce, the ball reaches a height of 0.5 * 5m = 2.5m.
Therefore, the ball takes 5 bounces to reach a height of 2.5m.