Two space stations are at rest relative to each other and separated by a distance of 1km. Each space station has a large clock mounted to it on the outside, visible from space. The two clocks are synchronized with each other. At time t=0, both clock faces light up. A rocket is traveling at 0.6c along the line connecting the two space stations. At time t=0 (in the rocket's frame of reference) the rocket reaches the first station just as the clock face lights up (call this: event 1) a) According to the rocket, how far away is the other space station? b) According to an observer on the rocket, at what time does the clock face of the other space station light up (event 2)? Is it simultaneous, before or after event 1? c) Sketch a space-time diagram for the two events in the reference frame of the space stations and an observer on the rocket. Use this example to explain why 2 events simultaneous in one frame are not simultaneous in another frame that is moving relative to the other (indicate the time intervals between the 2 events). d) Suppose a second rocket is moving at 0.7c in the opposite direction, relative to the space stations. According to passengers on the first rocket, what is the velocity of the second rocket?