007A Sample Midterm 3, Problem 5

At time  ${\displaystyle t,}$  the position of a body moving along the  ${\displaystyle s-}$axis is given by  ${\displaystyle s=t^{3}-6t^{2}+9t}$ (in meters and seconds).
(a)  Find the times when the velocity of the body is equal to  ${\displaystyle 0.}$
(b)  Find the body's acceleration each time the velocity is  ${\displaystyle 0.}$
(c)  Find the total distance traveled by the body from time  ${\displaystyle t=0}$  second to  ${\displaystyle t=2}$  seconds.