Find the Acceleration of a Particle with the Following Position $$\mathbf { r } ( t ) = \left\langle 2 t ^ { 2 } - 2,4 t \right\}$$

Multiple Choice

Find the acceleration of a particle with the following position function.
$$\mathbf { r } ( t ) = \left\langle 2 t ^ { 2 } - 2,4 t \right\}$$
Select the correct answer.

A) $\mathbf { a } ( t ) = 4 \mathbf { i }$
B) $\mathbf { a } ( t ) = 2 t \mathbf { i } + 2 \mathbf { j }$
C) $\mathbf { a } ( t ) = ( 2 + 4 t ) \mathbf { i } - 2 \mathbf { j }$
D) $\mathbf { a } ( t ) = 2 \mathbf { i } - \mathbf { j }$
E) $\mathbf { a } ( t ) = 4 t \mathbf { i } + 2 \mathbf { j }$