An astronaut has drifted too far away from the space shuttle while attempting to repair the Hubble Space telescope. She realizes that the orbiter is moving away from her at 3 m/s. She and her space suit have a mass of 90 kg. On her back is a 10 kg jetpack which consists of an 8 kg holding tank filled with 2 kg of pressurized gas. She is able to use the gas to propel herself directly towards to the orbiter. The gas exits the tank at a uniform rate with a constant velocity of 100 m/s, relative to the tank (and her). After the tank has been emptied, what is her velocity? Will she be able to catch up with the orbiter with that velocity?
