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= [tex]4*0.6^{3}[/tex]
=0.864
4*0.6
Step-by-step explanation:
Here is how to solve it:
1st bounce= [tex]a_{1}[/tex]
4m
2nd bounce= [tex]a_{2}[/tex]
4*0.6
=2.4m
3rd bounce= [tex]a_{3}[/tex]
[tex]4*0.6^{2}[/tex]
= 1.44m
4th bounce= [tex]a_{n}[/tex]
[tex]4*0.6^{n-1}[/tex]
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.