A spaceship of mass 2.3×106 is cruising at a speed of 5.6×106 when the antimatter reactor fails, blowing the ship into three pieces. One section, having a mass of 4.7×105 , is blown straight backward with a speed of 2.0×106 . A second piece, with mass 8.3×105 , continues forward at 1.1×106 .
What is the speed of the third piece?
what is the direction of the third piece?