Question

A ball is dropped from a height of 10 meters. Each time it bounces, it reaches 50 percent of its previous height. The total vertical distance the ball has traveled when it hits the ground the fifth time is ______ meters.
How many meters is it?

Answer 1

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.

Answer 2

Answer: 28.75

Step-by-step explanation: You honestly just need to divide each distance by 2 then add them together. First time it drops it goes down 10 meters. Then up five and back down. Then 2.5 meters then back down. Then 1.25, back down then .625 the back down.

At the end if you add together the total vertical distance you should get 28.75. If that is wrong well then the questions needs to be worded differently.