Let the Velocity of a Particle Be $\mathbf { v } ( t ) = \mathbf { i } + t \mathbf { j }$

Multiple Choice

Let the velocity of a particle be $\mathbf { v } ( t ) = \mathbf { i } + t \mathbf { j }$ , and let its position when t = 0 be $\mathbf { r } ( 0 ) = \mathbf { j } + 2 \mathbf { k }$ . Find its position when t = 2.

A) $3 \mathbf { i } + 3 \mathbf { j } + 2 \mathbf { k }$

B) $2 \mathbf { i } + 3 \mathbf { j } + 2 \mathbf { k }$
C) $3 \mathbf { i } + 2 \mathbf { j } + 2 \mathbf { k }$
D) $3 \mathbf { i } + 2 \mathbf { j } + 3 \mathbf { k }$
E) $3 \mathbf { i } + 4 \mathbf { j } + 2 \mathbf { k }$
F) $2 \mathbf { i } + 4 \mathbf { j } + 2 \mathbf { k }$

G) $4 \mathbf { i } + 2 \mathbf { j } + 2 \mathbf { k }$

H) $4 \mathbf { i } + 3 \mathbf { j } + 2 \mathbf { k }$