An object has the velocity vector function\\
$\vec{v}(t) = \left<2, 10e^{5t}, 6t + 6\right>$\\
and initial position $\vec{r}(0) = \left<5, -2, 4\right>$\\
A) Find the vector equation for the object's position.\\
$\vec{r}(t) = \left< \underline{\qquad}, \underline{\qquad}, \underline{\qquad} \right>$\\
B) Find the vector equation for the object's acceleration.\\
$\vec{a}(t) = \left< \underline{\qquad}, \underline{\qquad}, \underline{\qquad} \right>$
