A spaceship of mass 2.2×106kg is cruising at a speed of 5.4×106m/s when the antimatter reactor fails, blowing the ship into three pieces. One section, having a mass of 4.6×105kg , is blown straight backward with a speed of 2.2×106m/s . A second piece, with mass 8.1×105kg , continues forward at 1.0×106m/s .
1. What is the speed of the third piece?
2. What is the directionof the third piece?