A missile is shot straight up into the air. At the peak of its trajectory, it breaks up into three pieces of equal mass, all of which move horizontally away from the point of the explosion. One piece travels in a horizontal direction of 28.0° east of north with a speed of 30.0 m/s. The second piece travels in a horizontal direction of 12.0° south of west with a speed of 8.00 m/s. What is the velocity of the remaining piece? Give both speed and angle.
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