The position of a particle is given by the equation  s = t^4 − 2t^3 + 6t^2 where t is measured in seconds and s in feet.  What is the acceleration at any time t seconds?  What is the acceleration after 1 second? 3 seconds?  When is the velocity increasing? decreasing? Constant?

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Chapter1: Units, Trigonometry. And Vectors
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The position of a particle is given by the equation

 s = t^4 − 2t^3 + 6t^2

where t is measured in seconds and s in feet. 

  1. What is the acceleration at any time t seconds? 
  2. What is the acceleration after 1 second? 3 seconds? 
  3. When is the velocity increasing? decreasing? Constant?
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