Calculus

Acceleration: A drag racer accelerates at a(t)= 88 ft/s2 . Assume v(0)=0 and s(0)=0

a) Determine and graph the position function s(t)

b) How far does the racer travel in the first four seconds?

c) At this rate, how long will it take the racer to travel 1/4 mile?

d) How long does it take the racer to travel 300ft? 

e) How far has the racer traveled when it reaches a speed of 178 ft/s?