A 22.0-kg body is moving in the direction of the positive x axis with a speed of 359 m/s when, owing to an internal explosion, it breaks into three pieces. One part, whose mass is 6.5 kg, moves away from the point of explosion with a speed of 387 m/s along the positive y axis. A second fragment, whose mass is 3.5 kg, moves away from the point of explosion with a speed of 458 m/s along the negative x axis. What is the speed of the third fragment? Ignore effects due to gravity.
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