Monday

September 22, 2014

September 22, 2014

Posted by **Aparna** on Monday, January 3, 2011 at 1:12am.

will be the total distance traversed by the ball?

- Physics -
**drwls**, Monday, January 3, 2011 at 1:21amCounting all bounces? That would be

100 (1 + 2*0.95 + 2*0.95^2 + 2*0.0.95^3 + ... centimeters. That is an infinite series, and assumes that the down-to-up ratio is always 0.95.

That can be written as

100*(2 + 2*0.95 + 2*0.95^2 + 2*0.0.95^3....) - 100

or, in closed form, as

200[1/(1-0.95)] - 100

= 3900 cm

- Physics -
**Dr Russ**, Monday, January 3, 2011 at 1:22amA question like this was answered recently. I'll try to find a link.

- Physics -
**Dr Russ**, Monday, January 3, 2011 at 1:23amdrwls is faster than me!!

**Answer this Question**

**Related Questions**

physics - A hard ball dropped from a height of 1 m in earth’s gravitational ...

calculus - A ball has bounce coefficient 0 < r < 1 if when it is dropped ...

math - the height that a ball bounces varies directly as the height from which ...

Geometric Series question? Help!? - A bouncy ball bounces to 2/3 of its height ...

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

physics - You drop a ball, mass 127.5 grams from a height of 83.0 cm. It bounces...

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

math - 5. A rubber ball dropped on a hard surface takes a sequence of bounces, ...

maths - a ball is dropped from a height of 40cm onto a horizontal surface and ...

math - a student drop a rubber ball from a height of 8 feet . Each time the ball...