UPSEE Solved Model Paper 4

A mass m1 with initial speed v0 in the positive x direction collides with a mass m2 = 2m1 which is initially at rest at the origin, as shown in figure. After the collision m1 moves off with speed v1 = v0∕2 in the negative y- direction, and m2 moves off with speed v2 at angle θ. Find the velocity (magnitude and direction) of the centre of mass after the collision :