Basketball Bounce

Algebra Level 1

A basketball bounces back up of half the height from which it is dropped. If a basketball is dropped from 120 feet and keeps bouncing, what is its vertical height after it hits the floor for the 3rd time?

Source .

45 feet 15 feet 60 feet 30 feet

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s/Julia Ding by s/Julia Ding , 32, USA

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2 solutions

Aaryan Vaishya
Oct 20, 2018

The height after each bounce is always equal to (OG height)(1/k^n)where k is a constant and n is the number of bounces.In this example k=2 and n=3,so ans=120 x 1/2^3=120 x 1/8=15

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s/Julia Ding
May 2, 2015

After first time: 60 feet Second time: 30 feet Third time: 15 feet

It's vertical height is 15 feet after it hits the ground for the third time.

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