An unstable nucleus with a mass of 17.0 E-27 kg initially at rest disintegrates into three particles. One of the particles, of mass 5.0 E-27 kg, moves along the positive y-axis with a speed of 6.0 E 6 m/s. Another particle, of mass 8.4 E-27 kg, moves along the positive x-axis with a speed of 4.0 E 6 m/s. (Assume that mass is conserved.) Determine the third particle's speed and direction of motion.