Test 3 #17

We know the velocity equation(the derivative of the position equation) =


Thus the zeros are 0 and 3.

The acceleration equation(the derivative of the velocity equation) =


Thus the zeros are 0 and 2.

Plug in numbers less than 0, between 0 and 3, and greater than 3 into the velocity equation for t





Plug in numbers less than 0, between 0 and 2, and greater than 2 into the acceleration equation for t:






The particle is slowing down when the signs are opposite:
and