A $5.00 \mathrm{~kg}$ Mass Is Moving At $4.00 \mathrm{~m} / \mathrm{s} 30.0$

A $5.00 \mathrm{~kg}$ mass is moving at $4.00 \mathrm{~m} / \mathrm{s} 30.0$ degrees SOUTH of WEST and a $2.00 \mathrm{~kg}$ mass is moving at 3.00 $\mathrm{m} / \mathrm{s} 60.0$ degrees SOUTH of EAST. Find the velocity of the center of mass, letting $(\mathrm{a}) =$ the east-west component, and (b) = the north-south component.

A) $\mathrm{a}=-2.17 \mathrm{~m} / \mathrm{s}, \mathrm{b}=+2.05 \mathrm{~m} / \mathrm{s}$ .
B) $\mathrm{a}=+2.17 \mathrm{~m} / \mathrm{s}, \mathrm{b}=-2.05 \mathrm{~m} / \mathrm{s}$ .
C) $\mathrm{a}=-2.05 \mathrm{~m} / \mathrm{s}, \mathrm{b}=-2.17 \mathrm{~m} / \mathrm{s}$ .
D) $\mathrm{a}=-2.05 \mathrm{~m} / \mathrm{s}, \mathrm{b}=+2.17 \mathrm{~m} / \mathrm{s}$ .
E) $\mathrm{a}=+2.05 \mathrm{~m} / \mathrm{s}, \mathrm{b}=-2.17 \mathrm{~m} / \mathrm{s}$ .