Given the position function, t, between t = 0 and t = 15, where s is given in feet and t is measured in seconds, find the interval in seconds where the particle is moving to the right.

Question

unicwaan · Answer

The given position is $$s(t)= \frac{ t^3 }{ 3 }-\frac{ 12t^2 }{ 2 }+36t$$

anonymous · Answer

assuming that right is positive, you need to find the interval t where s(t) >0 within t = 0 and t = 15

unicwaan · Answer

How do I do that?

anonymous · Answer

so set the equation >0 and solve for t

unicwaan · Answer

okay one second

unicwaan · Answer

I just got that t is greater than 0 @physo

unicwaan · Answer

@physo

welshfella · Answer

it might be that the particle is moving to the right but stays in the same position for ssome period during the first 15 seconds
A graph would give you a picture of that.

welshfella · Answer

You might try differentiating the function and see if there are any turning points