Question

A drag racer accelerates at a(t)= 72 ft/s2. 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 3 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 163 ft/s? 1 a. The position function for t20 is s(t) = ft b. In the first 6 s, the racer travels (Simplify your answer. Type an integer or decimal rounded to three decimal places as needed.) mi c. At this rate, it will take the racer s to travel 3 (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.) Enter your answer in each of the answer boxes

Answer 1

artl=72 Vo2 0 scol=0 2 r= ut & Ś at initial velocity 0 a. 72 S- O + Š x 72 7² r = 36 +2 b for t=6 2 Sa 3662 1296 ft la i mile 5280 1760 ft 1760 361 440 f. 6-992 recond for la 300 ft 3ou: 36t & ? 300 36 who f 2.887 recand r²u3 aas a - 72 V. 163 (163)-(0) 2x72xs

2. 1448 (163) 184. So + r