Jack nervously entered the Skate-O-Rama building for his class reunion. The gaudily decorated room is filled with people and chatter, skating and laughing.
But then... across the room, Jack sees Anne--his long lost love. Their eyes lock, and for a moment time stands still. The powerful attraction is still there. They glide toward one another, first slowly but then faster and faster until 90.0 kg Jack is traveling 2.8 m/s left toward 55.0 kg Anne who approaches him at 3.6 m/s towards the right. They collide in a totally inelastic embrace. What is their final speed and direction after the collision?