007A Sample Midterm 3, Problem 5

At time  $t,$  the position of a body moving along the  $s-$axis is given by  $s=t^{3}-6t^{2}+9t$ (in meters and seconds).

(a)  Find the times when the velocity of the body is equal to  $0.$

(b)  Find the body's acceleration each time the velocity is  $0.$

(c)  Find the total distance traveled by the body from time  $t=0$  second to  $t=2$  seconds.

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