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

Answer:

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

Step-by-step 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.