Thursday

April 2, 2015

April 2, 2015

Posted by **long nguyen** on Thursday, April 25, 2013 at 3:07am.

a/ how far does the ball travel between tne second and third bounces .

b/ write an infinite series to model the total distance tralveled by the ball, excluding the distance traveled before the firstbounce

- math -
**Reiny**, Thursday, April 25, 2013 at 9:35amwe have to count the up and the down of each bounce

So from the moment of the first bounce:

distance = 2(.75)(8) + 2(.75^2)(8) + 2(.75^3)(8) + ...

= 16(.75) + 16(.75^2) + 16(.75^3) + ...

so we have a GS, with

a = 16 ,r = .75

distance between 3rd and 2nd

= 16(.75^2) - 16(.75^3) = 2.25 ft

total distance = a/(1-r) = 16/(1-.75) = 64 ft

**Answer this Question**

**Related Questions**

math - a ball is dropped from a height of 3m and bounces on the ground . At the ...

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

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

math - A rubber ball is dropped from a height of 729 feet, and at each bounce it...

math - A ball has a 75% rebound ratio. When you drop it from a height of 16 ft, ...

Math- Check over please - A ball is dropped from a height of 3m and bounces on ...

math - Suppose you drop a ball from the top of a five-story building onto the ...

alg2 - suppose you drop a tennis ball from a height of 15 feet. After the ball ...

alg - suppose you drop a tennis ball from a height of 15 feet. After the ball ...

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