Consider a toy car that moves back and forth on a long, straight track for 5 minutes in such a way that the function s(t) = 120t − 102t2 + 32t3 − 3t4 describes how far the car is to the right of the starting point, in centimeters, after t minutes.
Within the domain of your model, when (in minutes after the toy car begins moving) is the toy car moving fastest to the right? (Round your answer to two decimal places.)
When (in minutes after the toy car begins moving) is the toy car moving fastest to the left? (Round your answer to two decimal places.)