Math Problem Solver

A drag racer accelerates at ​a(t)equals88 ​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 3 ​s?

c. At this​ rate, how long will it take the racer to travel one fourth

​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 173 ​ft/s?

Question content area bottom

Part 1

a. The position function for tgreater than or equals0 is ​s(t)equals

44 t squared.

Part 2

b. In the first 3 ​s, the racer travels

396 ft.

​(Simplify your answer. Type an integer or decimal rounded to three decimal places as​ needed.)

Part 3

c. At this​ rate, it will take the racer

5.477 s to travel one fourth

mi.

​(Do not round until the final answer. Then round to three decimal places as​ needed.)

Part 4

d. It will take the racer

2.611 s to travel 300 ft.