Physics
posted by Aparna .
A hard ball dropped from a height of 1 m in earth’s gravitational field bounces to a height of 95 cm. What
will be the total distance traversed by the ball?

Counting 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 downtoup 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/(10.95)]  100
= 3900 cm 
A question like this was answered recently. I'll try to find a link.

drwls is faster than me!!