Consider a particle moving along the $x-$axis where $x(t)$ is the position of th

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

$($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 $0.$

$$