Question

A ball is dropped from a height of 10m after each bounce it rises to 3/5 its original height. How many bounces until the height reached is less than 1 metre?

Answer 1

Hey, I hope this helps. Just remember, I'm a math genius, okay. There is some math subjects I don't understand, and there are some that I do. Anywho, Here is the answer:

You will have 4 bounces until it rests. The fourth bounce is less than 1 metre.

Height after 4th bounce=
`4*0.6^(3)`

=0.864

4*0.6

Explanation:

Here is how to solve it:

1st bounce=
`a_(1)`

4m

2nd bounce=
`a_(2)`

4*0.6

=2.4m

3rd bounce=
`a_(3)`

`4*0.6^(2)`

= 1.44m

4th bounce=
`a_(n)`

`4*0.6^(n-1)`

I don't know if this is what you are looking for or if this is completely correct, but I hope this helps. I tryied my very best to help you.