If $\mathbf{r} (t) = \cos (4 t) \mathbf{i} + \sin (4 t) \mathbf{j} + 7 t \mathbf{k}$, compute the tangential and normal components of the acceleration vector.

Tangential component $\; a_T (t) =$

Normal component $\; a_N (t) =$

Your overall score for this problem is