SOLUTION: Can someone help me? Thank you. When superballs sprang upon the scene in the 1960s, kids across the US were amazed that these hard rubber balls could bounce to 90% of the height f

Algebra ->  Sequences-and-series -> SOLUTION: Can someone help me? Thank you. When superballs sprang upon the scene in the 1960s, kids across the US were amazed that these hard rubber balls could bounce to 90% of the height f      Log On


   

Question 1092083: Can someone help me? Thank you.
When superballs sprang upon the scene in the 1960s, kids across the US were amazed that these hard rubber balls could bounce to 90% of the height from which they were dropped. If a superball is dropped from a height of 2m, how far does it travel until it stops bouncing?
How can I set up? Is it finite or infinite geometric series?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Infinite series.
Start at h, travel up to 0.9h.
Start at 0.9h, travel up to 0.81h,
Start at 0.81h, travel up to 0.729h
.
.
.
So then it's the sum of
D=h%2B2%280.9h%29%2B2%280.81h%29%2B2%280.729h%29
Looks like the pattern is,
D=h%2B2h%2Asum%28%280.9%5En%29%2Cn=1%2Cinfinity%29%29
D=h%281%2B2%2Asum%28%280.9%5En%29%2Cn=1%2Cinfinity%29%29%29
D=h%281%2B2%2A%280.9%2F%281-0.9%29%29%29
D=h%281%2B2%2A%289%29%29
D=19h
D=19%282%29
D=38m