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. 

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