### Velocity Acceleration and Trajectory

Particle's motion is given by

$\vec{a}\left(t\right)=12t^2\hat{x}+\left(18t-8\right)\hat{y}-6t\hat{z}$

and
$\vec{r_0}=\left(3,-1,4\right)$ , $\vec{v_0}=\left(6,15,-8\right)$

Find $\vec{v}\left(t\right)$and $\vec{r}\left(t\right)$.