Problem 1.357

The space-time diagram of Fig. 1.93 shows three events \(A\), \(B,\) and \(C\) which occurred on the \(x\) axis of some inertial reference frame. Find: (a) the time interval between the events \(A\) and \(B\) in the reference frame where the two events occurred at the same point; (b) the distance between the points at which the events \(A\) and \(C\) occurred in the reference frame where these two events are simultaneous.