Solve this question in two different ways:
13.A 5.0-kg bomb at rest explodes into three pieces, each of which travels parallel to the ground. The first piece, with a mass of 1.2 kg, travels at 5.5 m/s at an angle of 20° south of east. The second piece has a mass of 2.5 kg and travels at 4.1 m/s at an angle of 25° north of east. Determine the velocity of the third piece.