Synchronized clocks A and B are at rest in our frame of reference, a distance five light-minutes apart. Clock \(\mathrm{C}\) passes \(\mathrm{A}\) at speed (12/13) \(c\) bound for \(\mathrm{B}\), when \(\mathrm{C}\), and also both \(\mathrm{A}\) and \(\mathrm{B}\), read \(t=0\) in our frame.

(a) What time does \(\mathrm{C}\) read when it reaches \(\mathrm{B}\) ?

(b) How far apart are A and B in C's frame?

(c) In C's frame, when A passes C, what time does B read?