An m = 6.60-kg clay ball is thrown directly against a perpendicular brick wall at a velocity of 22.0 m/s and shatters into three pieces, which all fly backward, as shown in the figure. The wall exerts a force on the ball of 2650 N for 0.110 s. One piece of mass m1 = 2.60 kg travels backward at a velocity of 10.7 m/s and an angle of = 32.0° above the horizontal. A second piece of mass m2 = 1.60 kg travels at a velocity of 8.30 m/s and an angle of 28.0° below the horizontal.
a) What is the velocity of the third piece?
b) What is the direction of the third piece?