After several large firecrackers have been inserted into its holes, a bowling ball is projected into the air using a homemade launcher and explodes in midair. During the launch, the 7.00-kg ball is shot into the air with an initial speed of 10.0 m/s at a 40.0° angle; it explodes at the peak of its trajectory, breaking into three pieces of equal mass. One piece travels straight up with a speed of 3.00 m/s. Another piece travels straight back with a speed of 2.00 m/s. What is the velocity of the third piece (speed and direction)?

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