A drag racer accelerates at a(t)equals 64 ft/ssquared . Assume that v(0)equals 0 and s(0)equals 0. Determine and graph the position function for...

A drag racer accelerates at

​a(t)equals

64

​ft/ssquared

.

Assume that

​v(0)equals

0

and

​s(0)equals

0.

a. Determine and graph the position function for

tgreater than or equals

0.

b. How far does the racer travel in

3

​s?

c. At this​ rate, how long will it take the racer to travel

​mi?

d. How long will it take the racer to travel

300

​ft?

e. How far has the racer traveled when it reaches a speed of

182

​ft/s?