Question

If X (t) = cos(−4 t) I + sin(−4 t) J + 3 t K, compute:

A. The velocity vector v (t) = ? I + ? J + ? K

B. The acceleration vector a (t) = ? I + ? J + ? K

Note: the coefficients in your answers must be entered in the form of expressions in the variable \emph{t}; e.g. "5 cos(2t)"