The velocity $v ( t )$ and acceleration $a ( t )$ of a point P moving on a number line at time $t$ ($t \geq 0$) satisfy the following conditions.\\
(가) When $0 \leq t \leq 2$, $v ( t ) = 2 t ^ { 3 } - 8 t$.\\
(나) When $t \geq 2$, $a ( t ) = 6 t + 4$.
Find the distance traveled by point P from time $t = 0$ to $t = 3$. [4 points]