Find $\mathbf{r}(t)$ and $\mathbf{v}(t)$ given acceleration $$\mathbf{a}(t)=\left<t,3\right>,$$ initial velocity $$\mathbf{v}(0)=\left<1,-4\right>,$$ and initial position $$\mathbf{r}(0)=\left<0,0\right>.$$

$\mathbf{v}(t)=$
$\mathbf{r}(t)=$

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