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Several large firecrackers are inserted into the holes of a bowling ball, and the 6.1 kg...

Several large firecrackers are inserted into the holes of a bowling ball, and the 6.1 kg ball is then launched into the air with a speed of 9.1 m/s at an angle of 42° from the horizontal. The firecrackers explode at the peak of the trajectory, breaking the ball into three pieces. A 2.0 kg piece travels straight back horizontally with a speed of 2.6 m/s. A 2.5 kg piece travels straight up with a speed of 1.7 m/s.

What is the magnitude of the third piece?

What is the direction of the third piece measured clockwise from the horizontal axis?

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