Answer
a) $\textbf{v}(t) =<5t, 12t>$; Speed = $13t$
b) $\textbf{a}(t) = <5, 12>$
Work Step by Step
$\textbf{r}(t) = $
$\textbf{v}(t) = \textbf{r}'(t) =<5t, 12t>$
Speed = $|\textbf{v}(t)| = \sqrt {(5t)^2+(12t)^2} = 13t$
$\textbf{a}(t) = \textbf{v}'(t) = <5, 12>$