The velocity $\mathrm{v}$ in feet per second of a free- falling object can be found using the formula $\mathrm{v}=\sqrt{64 \mathrm{~d}}$, where $d$ is the distance (in feet) that the object has already fallen. Find the distance that and object with a velocity of $68 \mathrm{ft} / \mathrm{s}$ has fallen. Round to the nearest foot.
A) 74 feet
B) 63 feet
C) 66 feet
D) 72 feet

Question

Quizplus · Accepted Answer

To find the distance $d$, use the formula $v = \sqrt{64d}$. Plug in $v = 68$ and solve for $d$: $68 = \sqrt{64d}$. Squaring both sides gives $4624 = 64d$. Solving for $d$ gives $d = 72.25$, which rounds to 72 feet.

The Velocity v\mathrm{v}v In Feet Per Second of a Free- Falling Object Can

The Velocity $\mathrm{v}$ In Feet Per Second of a Free- Falling Object Can