Posted by **Steven** on Friday, May 11, 2012 at 5:55pm.

A hard rubber ball is dropped from a moving van with a height of 5 metres. The ball rises to 80% of the previous height after each bounce.

a) determine the total vertical distance the ball has traveled when it strikes the ground the eighth time.

b) estimate the total vertical distance the ball travels before it comes to rest.

It's a geometric series, I know this much. My problem comes from the fact that... the initial 5 metres in an anomaly. After the ball hits the ground the first time, it will go up and down the same distance, then up and down 80% less, etc. It's that first 5 that is an odd distance, it only happens once. How would I write the S_n_ formula?

A few ideas I had were:

Sn=/8(1-.8^n)\

\ 1-.8 / +5

## Answer this Question

## Related Questions

Calculus - Hard rubber ball is thrown down from a building with a height of 5 ...

math - a ball is dropped from a height of 5m. after each bounce, the ball rises ...

Math - I need some help with these quesitons 1. a1 = -1, and an = 4/3an-1 for n...

Math - I need some help with these quesitons 1. a1 = -1, and an = 4/3an-1 for n...

math - 1.A ball is dropped from a height of 2.0, to a floor. After each bounce, ...

Calculus - A ball is dropped from a height of 10 feet and bounces. Each bounce ...

physics - A superball is dropped from rest from a height of 2.0m. It bounces ...

physics - A superball is dropped from rest from a height of 2.0m. It bounces ...

Algebra II - Help me with this, please... A ball is dropped vertically from a ...

science - Science Experiment Determine a mathematical modelwhich describes the ...