A drag racer accelerates at a(t) = 86 ft/s2. Assume that v(0) = 0 and s(0) = 0. a. Determine the position function for tz 0. b. How far does the racer travel in the first 5 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 169 ft/s? a. The position function for t 2 0 is s(t) = b. In the first 5 s, the racer travels ft. (Simplify your answer. Type an integer or decimal rounded to three decimal places as needed.) c. At this rate, it will take the racer s to travel , mi. (Do not round until the final answer. Then round to three decimal places as needed.) d. It will take the racer s to travel 300 ft. (Do not round until the final answer. Then round to three decimal places as needed.) e. When the racer reaches a speed of 169 fu/s, it has traveled |ft. (Do not round until the final answer. Then round to three decimal places as needed.)