Spheres A (mass 0.01 kg), B (mass 0.09 kg), and C (mass 0.1 kg) are approaching the origin as they slide on a frictionless air table. The initial velocities of A and B are given in the figure. All three spheres arrive at the origin at the same time and stick together. After the collision, all three objects are moving at 0.4 m/s in the +x-direction.
What must the x- and y-components of the initial velocity of C?