The Position Vector of a Particle Is R(t) A) V(3) = 46i + 81j + 6k
B) V(3)

Multiple Choice

The position vector of a particle is r(t) . Find the requested vector.
- $\text { The velocity at } t = 3 \text { for } \mathbf { r } ( t ) = \left( 7 t ^ { 2 } + 4 t + 3 \right) \mathbf { i } - 3 t ^ { 3 } \mathbf { j } + \left( 8 - t ^ { 2 } \right) \mathbf { k }$

A) v(3) = 46i + 81j + 6k
B) v(3) = 25i - 27j - 3k
C) v(3) = 46i - 81j - 6k
D) v(3) = 38i - 81j - 6k