A ball is dropped from a height of 10 m

A ball falls from the height of 10 m.
1st bounce: 0.5 * 10 = 5 m
2nd bounce: 5 * 0.5 = 2.5 m
3rd bounce: 2.5 * 0.5 = 1.25 m
4th bounce: 1.25 * 0.5 = 0.625 m
After that the ball hits the ground the 5th time.
Total distance:
10 + ( 5 * 2 ) + ( 2.5 * 2 ) + ( 1.25 * 2 ) + ( 0.625 * 2 ) =
= 10 + 10 + 5 + 2.5 + 1.25 = 28.75 m
Answer: The total vertical distance the ball has traveled when it hits the ground the 5th time is 28.75 m.