A drag racer accelerates at a(t) = 70 ft/s². Assume that v(0) = 0 and s(0) = 0. a. Determine the position function for t≥ 0. b. How far does the racer travel in the first 5 s? 1 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 174 ft/s?

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section: Chapter Questions
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A drag racer accelerates at a(t) = 70 ft/s². Assume that v(0) = 0 and
s(0) = 0.
a. Determine the position function for t≥ 0.
b. How far does the racer travel in the first 5 s?
1
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 174 ft/s?
Transcribed Image Text:A drag racer accelerates at a(t) = 70 ft/s². Assume that v(0) = 0 and s(0) = 0. a. Determine the position function for t≥ 0. b. How far does the racer travel in the first 5 s? 1 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 174 ft/s?
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