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 51 mph?
A)about 225 ft
B)about 282 ft
C)about 248 ft
D)about 203 ft
E)about 236 ft

Question

Quizplus · Accepted Answer

Plug in the given values into the formula: 
$$s = k\sqrt{d}$$ 
$$(51) = (3.24)\sqrt{d}$$ 
Solve for $d$: 
$$\sqrt{d} = \frac{51}{3.24}$$ 
$$d = \left(\frac{51}{3.24}\right)^2 \approx 248$$ 
Therefore, the car will skid about 248 feet. The closest answer choice is (C) about 248 ft.

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

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