When “superballs” sprang upon the scene in the 1960’s, kids across the United States were amazed that these hard rubber balls could bounce to 90% of the height from which they were dropped. If a superball is dropped from a height of 2 m, how far does it travel by the time it hits the ground floor for the tenth time?

2 answers

set this up as a geometric series and then just apply the sum formula.

a = 2
r = 0.9

allow for round trips up and down
38