A drag racer accelerates at a(t) = 78 ft/s. Assume that v(0) = 0 and s(0) = 0. a. Determine the position function for t2 0. b. How far does the racer travel in the first 6 s? c. At this rate, how long will it take the racer to travel 4 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 181 ft/s? a. The position function for t 2 0 is s(t) =