Two systems k and k’ synchronize their clocks at t = t’ = 0 when their origins are aligned as system k’ passes by system k along the x axis at relative speed 0.8c. at time t = 3 ns, frank (in system k) shoots a proton gun having proton speeds of 0.98c along his x axis. the protons leave the gun at x = 1 m and arrive at a target 120 m away. determine the event coordinates (x, t) of the gun firing and of the protons arriving as measured by observers in both systems k and k’.