If $\mathbf { r } ( t ) = t ^ { 2 } \mathbf { i } + 3 t \mathbf { j } + e ^ { t } \mathbf { k }$

Essay

If $\mathbf { r } ( t ) = t ^ { 2 } \mathbf { i } + 3 t \mathbf { j } + e ^ { t } \mathbf { k }$ , find the acceleration vector and the tangential component of the acceleration vector.