A vessel at rest at the origin of an xy coordinate system explodes into three pieces. Just after the explosion, one piece, of mass m, moves with velocity (-55 m/s) and a second piece, also of mass m, moves with velocity (-55 m/s). The third piece has mass 3m.
(a) Just after the explosion, what is the magnitude of the velocity of the third piece?
(b) What is the direction of the velocity of the third piece?