a ball rebounds 1/2 of the height from which it is dropped. The ball is dropped from a height of 136 feet and keeps on bouncing. How far will it traveled when it strikes the ground the third time?

136 + 2*68 + 2*34 = 136 + 136 + 68 = __?

You have to stop adding after three bounces. 136 is the distance it falls on the first drop.

a ball rebounds 1/2 of the height from which it is dropped. The ball is dropped from a height of 136 feet and keeps on bouncing. How far will it traveled when it strikes the ground the third time?

It would have traveled 17 feets after the third time

To find out how far the ball will travel when it strikes the ground the third time, we need to calculate the total distance traveled during each bounce.

Given that the ball rebounds 1/2 of the height from which it is dropped, we can determine the distance traveled during each bounce as follows:

1st bounce: The ball is dropped from a height of 136 feet. So it rebounds to 1/2 * 136 feet = 68 feet.
2nd bounce: The ball is dropped from a height of 68 feet. So it rebounds to 1/2 * 68 feet = 34 feet.
3rd bounce: The ball is dropped from a height of 34 feet. So it rebounds to 1/2 * 34 feet = 17 feet.

Therefore, during each bounce, the ball travels a distance equal to the height it rebounds. Adding up the distances for each bounce, the total distance traveled when it strikes the ground the third time would be:

136 feet (height of first drop) + 68 feet (first bounce) + 34 feet (second bounce) + 17 feet (third bounce) = 255 feet.

Therefore, the ball will travel a total distance of 255 feet when it strikes the ground for the third time.