First, let's rewrite the equation in component form:
$\vec{r}(t) = \langle 3t, 6t + 1 \rangle$
Now, let's find the derivative of the position vector with respect to time:
$\frac{d\vec{r}}{dt} = \langle 3, 6 \rangle$
Since the derivative is a constant vector, it
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