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).

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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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).
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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