An object located at the origin and having mass M explodes into three pieces having masses M/4, M/3, and 5M/12. The pieces scatter on a horizontal frictionless xy-plane. The piece with mass M/4 flies away with velocity 5.0 m/s at 37° above the x-axis. The piece with mass M/3 has velocity 4.0 m/s directed at an angle of 45° above the -x-axis. (a) What are the velocity components of the third piece? (b) Describe the motion of the cm of the system after the explosion.