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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10th Edition
ISBN:9781337282291
Author:Ron Larson
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Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
Problem 7ECP: The kinetic energy E of an object varies jointly with the object’s mass m and the square of the...
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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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