Question

The elasticity coefficient e of a ball relates the height r of its rebound to the height h from which it is dropped. You can use the function e =
$\sqrt{ \frac{r}{h} }$
to find the elasticity coefficient. What is the elasticity coefficient of a tennis ball that rebounds 3 ft after it is dropped from a height of 3.5 feet? Round to the nearest 100th.

Answer 1

$\bf e=\sqrt{\cfrac{r}{h}}~~ \begin{cases} r=\stackrel{rebound}{height}\\ h=\stackrel{drop}{height}\\[-0.5em] \hrulefill\\ r=3\\ h=3.5 \end{cases}\implies e=\sqrt{\cfrac{3}{3.5}}\implies e\approx 0.92582\implies e=\stackrel{\textit{rounded up}}{0.93}$