Answer
The x-component of the velocity of the center of mass is $6~m/s$
The y-component of the velocity of the center of mass is $-4~m/s$
Work Step by Step
We can find the x-component of the velocity of the center of mass $v_x$:
$v_x = \frac{(3~kg)(14~m/s)+(4~kg)(0)}{3~kg+4~kg} = 6~m/s$
The x-component of the velocity of the center of mass is $6~m/s$
We can find the y-component of the velocity of the center of mass $v_y$:
$v_y = \frac{(3~kg)(0)+(4~kg)(-7~m/s)}{3~kg+4~kg} = -4~m/s$
The y-component of the velocity of the center of mass is $-4~m/s$.
