Use the Given Acceleration Function and Initial Conditions to Find

Multiple Choice

Use the given acceleration function and initial conditions to find the position at time t = 1. $$\mathbf { a } ( t ) = 10 \mathbf { i } + 6 \mathbf { j } + 8 \mathbf { k } , \quad \mathbf { v } ( 0 ) = \mathbf { 0 } , \quad \mathbf { r } ( 0 ) = 5 \mathbf { j }$$

A) $\mathbf { r } ( 1 ) = 11 \mathbf { i } + 8 \mathbf { j } + 4 \mathbf { k }$
B) $\mathbf { r } ( 1 ) = 5 \mathbf { i } + 4 \mathbf { j } - 4 \mathbf { k }$
C) $\mathbf { r } ( 1 ) = 5 \mathbf { i } + 8 \mathbf { j } + 4 \mathbf { k }$
D) $\mathbf { r } ( 1 ) = 5 \mathbf { i } + 8 \mathbf { j } - 4 \mathbf { k }$
E) $\mathbf { r } ( 1 ) = 5 \mathbf { i } + 8 \mathbf { j } + 9 \mathbf { k }$