The position function s(t) = t3-8t gives the position in miles of a freight train where east is the positive direction and t is measured in hours.  a. Determine the direction the train is traveling in when s(t) = 0 b. Determine the direction the train is traveling in when a(t) = 0 c. Determine the time intervals when the train is slowing down or speeding up.

College Algebra
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ISBN:9781938168383
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Chapter6: Exponential And Logarithmic Functions
Section: Chapter Questions
Problem 51RE: The population of a city is modeled by the equation P(t)=256,114e0.25t where t is measured in years....
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The position function s(t) = t3-8t gives the position in miles of a freight train where east is the positive direction and t is measured in hours. 

a. Determine the direction the train is traveling in when s(t) = 0

b. Determine the direction the train is traveling in when a(t) = 0

c. Determine the time intervals when the train is slowing down or speeding up.

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