A ball dropped 16 feet. The height of each bounce of the ball is 8 feet, 4 feet, 2 feet and so on. How high will the sixth bounce be show all of your work
To find the height of the sixth bounce, we can observe that the height of each bounce decreases by half each time. Let's calculate it step by step:
1st bounce: The ball drops 16 feet.
2nd bounce: The height is half of the previous bounce, so 16 / 2 = 8 feet.
3rd bounce: Again, the height is half of the previous bounce, so 8 / 2 = 4 feet.
4th bounce: Continuing the pattern, 4 / 2 = 2 feet.
5th bounce: Similarly, 2 / 2 = 1 foot.
6th bounce: The height decreases by half again, so 1 / 2 = 0.5 feet.
Therefore, the height of the sixth bounce will be 0.5 feet.