Find the velocity, acceleration, and speed of a particle with position function
$\mathbf r(t) = \langle 8 t \sin t, 8 t \cos t, 4 t^2\rangle$
$\mathbf v(t) = \langle$ , , $\rangle$
$\mathbf a(t) = \langle$ , , $\rangle$
$|\mathbf v(t)| =$

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