Chapter 37, Problem 64P

GO Reference frame S' passes reference frame S with a certain velocity as in Fig. 37-9. Events 1 and 2 are to have a certain spatial separation ▵x' according to the S' observer. However, their temporal separation ∆t' according to that observer has not been set yet. Figure 37-30 gives their spatial separation Δx according to the S observer as a function of ▵t' for a range of ▵t' values. The vertical axis scale is set by Δx_a = 10.0 m. What is ∆x'?

Figure 37-30 Problem 64.