Question

A water fountain on the ground sprinkles water all around it. If the speed of water coming out of the fountain is $v$, the total area around the fountain that gets wet is

• A. $\pi \frac{v^2}{g^2}$
• B. $\pi \frac{v^2}{g}$
• C. $\pi \frac{v^4}{g^2}$
• D. $\frac{\pi }{2}\frac{v^4}{g^2}$

Answer 1

Answer: (C)

Area $=\pi R_{\max }^2$
$R_{\max }=\frac{v^2\sin 90^{\circ }}{g}=\frac{v^2}{g}$
$\Rightarrow$ Area $=\frac{\pi v^4}{g^2}$