A ball that dropped from a height of 729 cm rebounds on each bounce one-third of the distance from which it fell. How high does it go on the 7th rebound? A. 0.33 cm B. 0.67 cm C. 0.25 cm D. 0.11 cm
Mathematics · High School · Mon Jan 18 2021
Answered on
Given :
A ball is dropped from height of 729 cm.
So, height after 1st bounce = 729/3 = 243 cm
height after 2nd bounce = 243/3 = 81 cm
height after 3rd bounce = 81/3 = 27 cm
height after 4th bounce = 27/3 = 9 cm
height after 5th bounce = 9/3 = 3 cm
height after 6th bounce = 3/3 = 1 cm
height after 7th bounce = 1/3 = 0.33 cm
Hence, option (A) is correct.