Hi, I am having trouble with this problem and I need help. Thank you.  The problem is: A particle moves according to a law of motion s = f(t), t ≥ 0, where t is measured in seconds and s in feet.  f(t)=t^3 - 9t^2 +24t  . When is the particle at rest? t= ?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 44E
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Hi, I am having trouble with this problem and I need help. Thank you. 

The problem is:

A particle moves according to a law of motion s = f(t), t ≥ 0, where t is measured in seconds and s in feet. 

f(t)=t^3 - 9t^2 +24t  .

When is the particle at rest?

t= ?

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