You and your team get a distress call from another ship indicating that there has been an explosion and their propulsion and navigation systems are now off line. A large piece of their ship has been jettisoned into space, and their life support systems are failing. They need help as soon as possible. You try to track them, but are only able to pick up the piece of the craft that had been projected away from them in the explosion. You look up the make and model of their ship, a Galaxy Explorer 5000 (GE 5000), which has a total mass of 55000 kg. The piece heading in your direction is the ship’s storage module, and has a mass of 7500 kg. The GE 5000 was at rest with respect to your ship at the time of the explosion.

(a) Assuming you received the distress call 20 minutes before the jettisoned storage module passed by your ship at a speed of 750.0 m/s, what is the speed of the damaged craft?

(b) How far away is the Galaxy Explorer 5000 when its storage module passes by?

(c) In which direction, and how fast must you go, in order to catch up with the GE 5000 before its life support systems fail. (The crew had 80 minutes of life support left when they made the distress call, so you have 60 minutes to get to them.)