When will it stop...........?

Mathematically, it will never stop bouncing since numbers can get infinitely smaller.

If you round to 2 decimal places, then it hits zero on the 15th bounce.

However, this question assumes it's in a vacuum, and gravity is ignored, since you said "every time he ball hits the ground it bounces back up half of the distance".

Numbers aren't enough, we also need to know what type of terrain the ball will land on, the bounce is gonna be different if it falls onto a concrete sidewalk or a sandbox. And it wouldn't bounce back up half the distance, anyone whose ever dropped a ball knows it will usually lean in a different direction on the rebound and keep bouncing in that direction like, well a bouncing ball, or a cricket - this happens because as you drop it you might accidentally not release it from every part of your hand (perhaps it rolls off a fingertip) and this can influence the ball to rotate or the rotation can be caused by wind resistance. UNTIL, and this is most important, numbers directions and terrain aside, it has lost too much momentum, kinetic and potential energy to bounce again.

You get a star for reminding me of all the middle school science stuff lol

It will continue to bounce forever in an eternal hell of bounciness for the number divided by two that equals 0 is 0. The numbers keep getting smaller but they never reach 0.

Let v be the velocity when the ball is at 640 feets going downwards

v = 48 feet /sec

let the velocity with which it reaches the ground be u

then,

u2=v2+2gh

g = acc due t ogravity in feet/sq.sec

h = 640 feet

the time taken to reach the ground

= time to return to 640ft + the time to fall from there

Time taken to get to the ground is 8 seconds. Final velocity is 208 feet per second downwards

6?

about 9

1 50ft

2 25ft

3 12ft

4 6ft

5 3ft

6 1ft

7 0.5ft

8 0.2ft

9 0.1ft

i gave you s star, becasue my brain is too dumb to figure this out,

can i still have best answer?

you know u wanna give it to me...

it wil never stop!!!

dont no