Question

A ball is dropped from a height of 10 feet.Every time it rebounces to half of the height. How many feet it travelled?

Answer 1

in this question first the ball was dropped at a height of 10ft , diminishthe number until zero
like
10
5
2.5
1.25
0.75
0.375
Hey it takes many steps end up here itself and
add all the measurements then you will get your final answer ourelse if it's wrong find out with your teacher.

I hope the answer I guessed was right.

Answer 2

The ball will travel 10 feet before first bounce .

then it will travel 5 feet after a bounce.

then 2.5 feet and so on...

It will bounce infinite times,

The summation of distance traveled is

10 + 10/2 + 10/4 +...

It forms a G.P. with common ratio 1/2.

So the summation of infinite terms

S_∞ = 10/(1-1/2)

S_∞ =20 metres