Question

A ball is thrown 12 meters in the air (so that the initial up-and-down distance is 24 meters). The ball rebounds 95% of the distance it falls. What is the total vertical distance traveled by the ball before it stops bouncing?

Answer 1

total distance
= 24 + 24(.95) + 24(.95)^2 + ....

an infinite GS, where a = 24 and r = .95

sum(all terms) = a/(1-r)
= 24/(1-.95)
= 24/.05 = 480 metres

Answer 2

Where is come 0.095

Answer 3

240 meters