Posted by **sally** on Sunday, October 30, 2011 at 10:30pm.

a rubber ball is dropped froma building that is 16 meters high. Each time the ball bounces, it bounces up half as high as the previous bounce. It is caught by Romer, the wonder dog, when it bounces 1 meter high. How many meters did the ball travel before it was caught?

- Math (logic and problem solving) -
**bobpursley**, Sunday, October 30, 2011 at 10:37pm
height: 16;8;4;2;1

fourth bounce. Distance went 16+2*8+2*4+2*2+1

or another way:

Distance=16+ 16(.5)+16*.5^2+ 16*.5^3+1

this looks like a geometric series, r=.5

So in a geometric series,

an= A_{1}*r^n n=0, 1, 2,..

to find our problem

1=16 (.5)^n

1/16= (1/2)^n

take log base 1/2 of each side..

4=n

## Answer This Question

## Related Questions

- Math - Fay's rubber ball bounces exactly half the height from which it is ...
- Math - a special rubber ball is dropped from the top of a wall that is 64 feet ...
- math - Fay's rubber ball bounces exactly half the height from which it is ...
- Math - Please explain how to figure out the following 7th grade math problem: If...
- maths lit - a ball is dropped from a height of 2r1/3 meters. It bounces to 3/4 ...
- Maths - A bouncy ball bounces 16m on its first bounce and then 8m on the second ...
- math - Sandy dropped a basketball from the top of her Mom'soffice building which...
- Math - 3rd grade summer work - A Super-Duper ball bounces twice its height when ...
- 5th grade math - On each bounce a ball reaches 4/5 of the height of its previous...
- physic - A rubber ball dropped from a height of exactly 6 ft bounces several ...

More Related Questions