A drag racer accelerates at ​a(t)equals72 ​ft/ssquared. Assume that ​v(0)equals0 and ​s(0)equals0. a. Determine the position function for tgreater than or equals0. 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 one third ​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 178 ​ft/s?