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Spatial separation between two events. For the passing reference frames of Fig. 37-25, events A and B occur with the following spacetime coordinates: according to the unprimed frame, (xA, tA) and (xB, tB); according to the primed frame, (x'A, t'A) and (x'B, t'B). In the unprimed frame, Δt = tB − tA = 1.00 µs and Δx = xB − xA = 240 m. (a) Find an expression for Δx' in terms of the speed parameter ß and the given data. Graph Ax'versus ß for two ranges of ß: (b) 0 to 0.01 and (c) 0.1 to 1. (d) At what value of ß is Δx' = 0?
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