Approximate to the Nearest Tenth When Necessary $\mathrm{v}$ , In $\mathrm{ft} / \mathrm{s}$

Multiple Choice

Approximate to the nearest tenth when necessary.
-The velocity $\mathrm{v}$ , in $\mathrm{ft} / \mathrm{s}$ , of a free falling object after $\mathrm{t}$ seconds is given by the formula v $32 \mathrm{t}$ until the object reaches terminal velocity. The terminal velocity $\mathrm{V}_{\mathrm{t}}$ of a free-falling object is the highest velocity that the object can attain, and it depends on the mass of the object as well as its projected area. The distance $d$ , in feet, that a free-falling object falls in $t$ seconds is given by the formula $\mathrm{d} e=16 \mathrm{t}^{2}$ until it reaches terminal velocity. After that occurs, the distance that it falls is found by multiplying the terminal velocity $\mathrm{V}_{\mathrm{t}}$ by the amount of time after it reaches terminal velocity. Find the distance that a parachutist travels in $\mathrm{t}=45$ seconds if she has the given terminal velocity $\mathrm{V}_{\mathrm{t}}=16 \mathrm{ft} / \mathrm{s}$ .

A) 512 feet
B) 716 feet
C) 720 feet
D) 480 feet