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

Question 34

Multiple Choice

Approximate to the nearest tenth when necessary.
-The velocity v\mathrm{v} , in ft/s\mathrm{ft} / \mathrm{s} , of a free falling object after t\mathrm{t} seconds is given by the formula v 32t32 \mathrm{t} until the object reaches terminal velocity. The terminal velocity Vt\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 dd , in feet, that a free-falling object falls in tt seconds is given by the formula de=16t2\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 Vt\mathrm{V}_{\mathrm{t}} by the amount of time after it reaches terminal velocity. Find the distance that a parachutist travels in t=45\mathrm{t}=45 seconds if she has the given terminal velocity Vt=16ft/s\mathrm{V}_{\mathrm{t}}=16 \mathrm{ft} / \mathrm{s} .


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

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