Two boys are sliding toward each other on a frictionless, ice-covered parking lot. Jacob, mass 45 kg, is gliding to the right at 7.83 m/s, and Ethan, mass 31.0 kg, is gliding to the left at 10.1 m/s along the same line. When they meet, they grab each other and hang on.

That was so much fun that the boys repeat the collision with the same original velocities, this time moving along parallel lines 1.02 m apart. At closest aproach, they lock arms and start rotating about their common center of mass. Model the boys as particles and their arms as a cord that does not stretch.
Find the belocity of their center. magnitude m/s
direction