1. The problem statement, all variables and given/known data In the laboratory frame, event 1 occurs at x = 0 light-years, t = 0 years. Event 2 occurs at x = 6 light-years, t = 10 years. In all rocket frames, event 1 also occurs at the position 0 light-years and the time 0 years. The y- and z- coordinates of both events are zero in all frames. a) In rocket frame A, event 2 occurs at time t’ = 14 years. At what position x’ will event 2 occur in this frame? b) In rocket frame B, event 2 occurs at position x’’ = 5 light-years. At what time t’’ will event 2 occur in this frame? c) How fast must rocket frame C move if events 1 and 2 occur at the same place in this rocket frame? 2. Relevant equations s^2 = c^2Δt^2-Δx^2 t = (1/√1-v^2/c^2)t' 3. The attempt at a solution For part A, I did c^2Δt^2-Δx^2 = c^2Δt'^2-Δx'^2. Because the everything in the rocket frames start at 0, then the entire left side becomes 0 and I get. √c^2 * (14)^2 = Δx' which is 4.2*10^9 or 14c. I did the same thing for part B. The c^2Δt^2-Δx^2 = c^2Δt''^2-Δx''^2 and ended up with √5/c = 1.29*10^-4 = Δt''. For part c, I know that I need to use t = (1/√1-v^2/c^2)t' . However, if I set t=0, then I get v rocket = c ---which shouldn't be right. It should be some fraction of c. My question is if if I am looking at a third reference frame, then do I use the values for time and position from the one before it? So to find the v in rocket frame C, I need to only use the data from rocket frame B?