Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN: 9781285741550
Author: James Stewart
Publisher: Cengage Learning
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Related questions

Question
2.
Suppose a particle is traveling on a one-dimensional track with velocity
v(t) = t² − 6t + 5
feet per
second for 0 ≤ t ≤ 6. Further suppose that the position of the particle at time
t = 0 is given by s(0) = 3 and that positive values mean the particle is traveling to the
right.
(a)
(b)
What is the position function s(t)?
What is the acceleration function a(t)?
(c)
When is the particle at rest? The particle is at rest when the velocity is
zero. Then graph the velocity function v(t).
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Transcribed Image Text:2. Suppose a particle is traveling on a one-dimensional track with velocity v(t) = t² − 6t + 5 feet per second for 0 ≤ t ≤ 6. Further suppose that the position of the particle at time t = 0 is given by s(0) = 3 and that positive values mean the particle is traveling to the right. (a) (b) What is the position function s(t)? What is the acceleration function a(t)? (c) When is the particle at rest? The particle is at rest when the velocity is zero. Then graph the velocity function v(t).
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