A dinner plate falls vertically to the floor and breaks up into three pieces, which slide horizontally along the floor. Immediately after the impact, a 200-g piece moves along the +x-axis with a speed of 2. 00 m/s, a 235-g piece moves along the +y-axis with a speed of 1. 50 m/s. The third piece has a mass of 100 g. What is the speed of the third piece?.