In a circus trapeze act, two acrobats actually fly through the air and grab on to each other, then together grab a swinging bar. One acrobat, with a mass of 48 kg, is moving at 3.4 m/s at an angle of 14° above the horizontal and the other, with a mass of 51 kg, is approaching her with a speed of 3.2 m/s at an angle of 18° above the horizontal. What is the direction and speed of the acrobats right after they grab on to each other? Let the positive x−axis be in the horizontal direction and assume the first acrobat has positive velocity components in the positive x− and y−directions.

The final velocity of the acrobats? (m/s)