The formula $s = k \sqrt { d }$ relates the speed $s$ (in mph)of a car and the distance $d$ of the skid when a driver hits the brakes. On wet pavement, $k = 3.24$ . How far will a car skid if it is going 59 mph?

Question

Quizplus · Accepted Answer

Substitute the values given in the problem into the formula and solve for $d$:
\begin{align*}
s &= k \sqrt{d}\
59 &= 3.24\sqrt{d}\
\sqrt{d} &= \frac{59}{3.24}\
d &= \left(\frac{59}{3.24}\right)^2\
&\approx 332 \text{ ft}
\end{align*}
Therefore, the answer is choice C, about 332 ft.

The Formula s=kds = k \sqrt { d }s=kd​ Relates the Speed

The Formula $s = k \sqrt { d }$ Relates the Speed