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 t≥ 0. b. How far does the racer travel in the first 4 s? 1 c. At this rate, how long will it take the racer to travel mi? 3

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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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 t≥ 0.
b. How far does the racer travel in the first 4 s?
1
c. At this rate, how long will it take the racer to travel mi?
3
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 181 ft/s?
Transcribed Image Text: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 t≥ 0. b. How far does the racer travel in the first 4 s? 1 c. At this rate, how long will it take the racer to travel mi? 3 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 181 ft/s?
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