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
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?
3 answers
Where is come 0.095
240 meters
6 answers