The velocity of a particle traveling along a straight line is given by v(t) = 2(t² – 2t − 3) for 2 ≤ t ≤ 4. (a) Find the acceleration of the particle at the time when the particle is at rest. (b) Find the total distance traveled by the particle over the time interval 2 ≤ t ≤ 4.

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section: Chapter Questions
Problem 33CT
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The velocity of a particle traveling along a straight line is given by
v(t) = 2(t² – 2t − 3) for 2 ≤ t ≤ 4.
(a) Find the acceleration of the particle at the time when the particle is at rest.
(b) Find the total distance traveled by the particle over the time interval 2 ≤ t ≤4.
Transcribed Image Text:The velocity of a particle traveling along a straight line is given by v(t) = 2(t² – 2t − 3) for 2 ≤ t ≤ 4. (a) Find the acceleration of the particle at the time when the particle is at rest. (b) Find the total distance traveled by the particle over the time interval 2 ≤ t ≤4.
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