The position of a particle moving along a coordinate axis is given by s(t) = t³ - 9t² + 24t + 4, t ≥ 0.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter2: Functions And Graphs
Section2.6: Proportion And Variation
Problem 18E
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a. Find the velocity of the particle (the derivative of s(t)) and acceleration of the particle (v(t)).

b. At what time(s) is the particle at rest? (v(t)=0).

 

The position of a particle moving along a coordinate axis is given by
s (t) = t³ - 9t² + 24t + 4, t ≥ 0.
Transcribed Image Text:The position of a particle moving along a coordinate axis is given by s (t) = t³ - 9t² + 24t + 4, t ≥ 0.
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