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A particle moves along the x-axis in such a way that its acceleration at time t for t≥ 0 is given by a (t) = 4 cos(2t). At time t 0, the velocity of the particle is v (0) = 1 and its position is x (0) = 0. For what values of t, 0 ≤ t ≤ π, is the particle at rest? = O t = 7 and t = Ot=and t = O t = and t = t = 2 and t = 11T 6 11πT 12 7π 6 5п 12

A particle moves along the x-axis in such a way that its acceleration at time t for t≥ 0 is given by a (t) = 4 cos(2t). At time t 0, the velocity of the particle is v (0) = 1 and its position is x (0) = 0. For what values of t, 0 ≤ t ≤ π, is the particle at rest? = O t = 7 and t = Ot=and t = O t = and t = t = 2 and t = 11T 6 11πT 12 7π 6 5п 12

Calculus: Early Transcendentals
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 particle moves along the x-axis in such a way that its acceleration at time t for t≥ 0 is given by a (t): = = = 0, the velocity of the particle is v (0) = 1 and its 4 cos(2t). At time t position is x (0) = 0. For what values of t, 0 ≤ t ≤ π, is the particle at rest? Ot= and t Ot 7π 6 Ot - 7π 12 O t = and t and t ㅠ 12 - - = and t = 11π 6 11T 12 7π 6 5πT 12
Transcribed Image Text:A particle moves along the x-axis in such a way that its acceleration at time t for t≥ 0 is given by a (t): = = = 0, the velocity of the particle is v (0) = 1 and its 4 cos(2t). At time t position is x (0) = 0. For what values of t, 0 ≤ t ≤ π, is the particle at rest? Ot= and t Ot 7π 6 Ot - 7π 12 O t = and t and t ㅠ 12 - - = and t = 11π 6 11T 12 7π 6 5πT 12
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