A spaceship of mass 2.0 x 106 kg is cruising at a speed of 5.0 x 106 m/s when the antimatter reactor fails, blowing the ship into three pieces. One section, having a mass of 5.0 * 105 kg, is blown straight backward with a speed of 2.0 x 106 m/s. A second piece, with mass 8.0 x 105 kg, continues forward at 1.0 x 106 m/s. What are the direction and speed of the third piece?

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