Sunday

December 21, 2014

December 21, 2014

Posted by **Emma** on Friday, May 25, 2007 at 8:16am.

the ball bounces in such a way that it loses ten percent of its height for each bounce and will continue to do this until it comes to rest on the surface.

what is the total distance travelled by the ball before coming to rest on the surface?how do i calculate this?

The sequence of successive heights can be written as

h---40 + 40(.9) + 40(.9^2) + 40(.9^3) +........ or

40(1 + .9 + .9^2 + .9^3 + ......

The limit of the converging series Sn = 1 + r + r^2 + r^3 + r^4 + = 1/(1 - r) -1 < r < 1

Thus, the total distance traveled becomes D = 40(1)/(1 - .9) = 40/.1 = 400 cm.

**Answer this Question**

**Related Questions**

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 ...

maths lit - a ball is dropped from a height of 2r1/3 meters. It bounces to 3/4 ...

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

physics - A ball of mass 0.1 kg is dropped from a height of 2 m onto a hard ...

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

math - Fay's rubber ball bounces exactly half the height from which it is ...

Physics - A solid rubber ball has a diameter of 8.0 cm. It is released from rest...

Math - A ball bounces 0.7 of the distance it is dropped. How many bounces will ...

Math - 3rd grade summer work - A Super-Duper ball bounces twice its height when ...