### Home > AC > Chapter 14 > Lesson 14.3.1.1 > Problem3-12

3-12.

If a ball is dropped from $160$ cm and rebounds to $120$ cm on the first bounce, how high will the ball be:

1. On the $2^{nd}$ bounce?

What is the ratio between the rebound height and the original height?

$\text{The rebound ratio is } \\\frac{120\text{ cm}}{160\text{ cm}}=0.75.$

1. On the $5^{th}$ bounce?

$≈ 37.97$ cm

1. On the $n^{th}$ bounce?

$\textit{t}(\textit{n})=160(0.75)^\textit{n}$