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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 29.1 ° east of north with a speed of 27.9 m/s. The second piece travels in a horizontal direction of 15.1 ° south of west with a speed of 8.63 m/s.

a) What is the velocity of the remaining piece?

b) What is the angle of the remaining piece? Give angle counterclockwise, relative to the positive x-axis.

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