# A drag racer accelerates at​a(t)equals=7272​ft/ssquared2.Assume that​v(0)equals=0and​s(0)equals=0. a. Determine the position function fortgreater than or equals≥0.b. How far does the racer travel in the first66​s?c. At this​ rate, how long will it take the racer to travelone third13​mi?d. How long will it take the racer to travel300300​ft?e. How far has the racer traveled when it reaches a speed of183183​ft/s?

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A drag racer accelerates at
​a(t)equals=7272
​ft/ssquared2.
Assume that
​v(0)equals=0
and
​s(0)equals=0.

a. Determine the position function for
tgreater than or equals≥0.
b. How far does the racer travel in the first
66
​s?
c. At this​ rate, how long will it take the racer to travel
one third13
​mi?
d. How long will it take the racer to travel
300300
​ft?
e. How far has the racer traveled when it reaches a speed of
183183
​ft/s?
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Step 1

(a)

Given information:

A drag racer accelerates at a(t)...

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