A bomb at rest at the origin of an xy-coordinate system explodes into three pieces. Just after the explosion, one piece, of mass 2.0 kg, moves with a velocity of 41 m/s in the negative x-direction, and a second piece, also of mass 2.0 kg, moves with a velocity of 17 m/s in the negativey-direction. The third piece has a mass of 6.0 kg. Just after the explosion, what is the magnitude of the velocity of the third piece? Just after the explosion, in what direction is the third piece moving? (Give your answer as an angle measured counterclockwise from the positive x-axis.)