A $4.00 \mathrm{~kg}$ Mass Is Moving At $4.00 \mathrm{~m} / \mathrm{s} 45.0$

A $4.00 \mathrm{~kg}$ mass is moving at $4.00 \mathrm{~m} / \mathrm{s} 45.0$ degrees NORTH of WEST and a $6.00 \mathrm{~kg}$ mass is moving at $3.00 \mathrm{~m} / \mathrm{s} 30.0$ degrees SOUTH of EAST. Find the velocity of the center of mass, letting (a) = the east-west component, and $(\mathrm{b}) =$ the north-south component.

A) $\mathrm{a}=0.427 \mathrm{~m} / \mathrm{s}, \mathrm{b}=0.213 \mathrm{~m} / \mathrm{s}$ .
B) $\mathrm{a}=0.427 \mathrm{~m} / \mathrm{s}, \mathrm{b}=2.31 \mathrm{~m} / \mathrm{s}$ .
C) $\mathrm{a}=1.23 \mathrm{~m} / \mathrm{s}, \mathrm{b}=0.231 \mathrm{~m} / \mathrm{s}$ .
D) $\mathrm{a}=1.73 \mathrm{~m} / \mathrm{s}, \mathrm{b}=1.43 \mathrm{~m} / \mathrm{s}$ .
E) $\mathrm{a}=0.427 \mathrm{~m} / \mathrm{s}, \mathrm{b}=0.231 \mathrm{~m} / \mathrm{s}$ .