Chapter 4.1, Problem 65E

(a)

To determine

To calculate: The velocity and acceleration of the particle if the position of the particle is $x\left(t\right)=t^3-6t^2+9t-2$.

(b)

To determine

To calculate: The open $t\text{-interval}$ on which the particle moving to the right, if the position of the particle is $x\left(t\right)=t^3-6t^2+9t-2$.

(c)

To determine

To calculate: The velocity of the particle when the acceleration is $0$, if the position of the particle is $x\left(t\right)=t^3-6t^2+9t-2$.