Find the Velocity of a Particle That Has the Given $\mathbf { a } ( t ) = 3 \mathbf { k } , \mathbf { v } ( 0 ) = 12 \mathbf { i } - 7 \mathbf { j }$

Multiple Choice

Find the velocity of a particle that has the given acceleration and the given initial velocity. $\mathbf { a } ( t ) = 3 \mathbf { k } , \mathbf { v } ( 0 ) = 12 \mathbf { i } - 7 \mathbf { j }$

A) $\mathbf { v } ( t ) = 12 \mathbf { i } - \mathbf { j } + 3 t \mathbf { k }$
B) $\mathbf { v } ( t ) = 12 \mathbf { i } - 7 \mathbf { j } + t \mathbf { k }$
C) $\mathbf { v } ( t ) = ( 12 t - 9 ) \mathbf { i } + 7 t \mathbf { k }$
D) $\mathbf { v } ( t ) = \mathbf { i } - 7 \mathbf { j } + 3 t \mathbf { k }$
E) $\mathbf { v } ( t ) = 12 \mathbf { i } - 7 \mathbf { j } + 3 t \mathbf { k }$