Velocity → Position

The velocity of a particle with mass, m =  grams, is described by the vector,

Here $t$ is measured in seconds. At time $t_0=0$, the position and velocity of the particle are,

  

Calculate the position of this particle at time t =  seconds.

$\vec{r}$ = $\hat{x}$ + $\hat{y}$ + $\hat{z} \; \left[ \text{m} \right]$