A 30-Kg Particle Has a Position Vector Given By By \overrightarrow

Multiple Choice

A 3.0-kg particle has a position vector given by $\overrightarrow { \mathbf { r } } = \left( 2.0 t ^ { 2 } \hat { \mathbf { i } } + 3.0 \hat { \mathbf { j } } \right)$ where $\overrightarrow { \mathbf { r } }$ is in meters and t is in seconds.What is the angular momentum of the particle,in kg.m²/s,about the origin at t = 2 s?

A) 72 $\hat { k }$
B) -72 $\hat { k }$
C) 24 $\hat { k }$
D) -24 $\hat { k }$
E) 22 $\hat { k }$