A ball is dropped from a height of 12 meters and rebounds one-fourth the distance on each bounce. Find the total distance it travels.

Guest Oct 27, 2020

#1**+1 **

Before the first bounce it travels 12

the next bounce is up and down 3 = 6

the next bounces is up and down 3/4 = 6/4

geometric sequence a_{1 = 6 }r = 1/4

sum = 12 + a(1/(1-r)) = 12 + 6 (1/(1-1/4)) = 20 m

ElectricPavlov Oct 27, 2020