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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