A particle moves in a straight line according to a law of motion s = f (t), t>0, v %3D in seconds and s in meters. s = f (t) = 2t3 – 9t2 + 12t a) When is the particle at rest? b) When is the particle speeding up? (Write your answer using interval notation). c) When is the particle slowing down? (Write your answer using interval notation).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.7: More On Inequalities
Problem 44E
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A particle moves in a straight line according to a law of motion s = f (t), t > 0, where t is measured
in seconds and s in meters.
8 = f (t) = 2t3 – 9t2 + 12t
a) When is the particle at rest?
b) When is the particle speeding up? (Write your answer using interval notation).
c) When is the particle slowing down? (Write your answer using interval notation).
Transcribed Image Text:A particle moves in a straight line according to a law of motion s = f (t), t > 0, where t is measured in seconds and s in meters. 8 = f (t) = 2t3 – 9t2 + 12t a) When is the particle at rest? b) When is the particle speeding up? (Write your answer using interval notation). c) When is the particle slowing down? (Write your answer using interval notation).
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