Consider a particle moving along the $x-$axis where

$x(t)=t^3-6t^{2}9t-5,0t10$

$($a$)$ Find the velocity and acceleration of the particle.

$x^{\text{'}}(t)=$

$x^{\text{'}\text{'}}(t)=$

$$

$$

$($b$)$ Find the open $t-$intervals on which the particle is moving to the right.

$$

$($c$)$ Find the velocity of the particle when the acceleration is $0.$

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