SOLUTION: A motion of a particle on a straight line is given by displacement function : s(t)= -49t + 63t^2 -15t^3 + t^4 for t≥0 where s is in meters and t is in seconds. A) when is th

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Question 1166875: A motion of a particle on a straight line is given by displacement function :
s(t)= -49t + 63t^2 -15t^3 + t^4 for t≥0 where s is in meters and t is in seconds.
A) when is the particle at rest?
B) when is the particle moving in the negative direction?
C) When is the particle slowing down?
Answer by ikleyn(52786)   (Show Source): You can put this solution on YOUR website!
.

            The plot


    


        The displacement as a given function of time.



For your convenience, I prepared a PLOT for you showing the given polynomial (the displacement function).


Having even very preliminary understanding of basic conceptions, you can analyze from this plot as many as you can.


In the future, you may use your own graphing calculator or even other website plotting tools for visualization.

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You will make it right, if you post your deepest "THANKS" to me for my teaching and guiding.



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