In frame S, event B occurs 2 ms after event A and at Dx = 1.5 km from event A.  (a) How fast must an observer be moving along the +x axis so that events A and B occur  simultaneously? (b) Is it possible for event B to precede event A for some observer? (c) Draw a spacetime diagram that illustrates your answers to (a) and (b).

Physics for Scientists and Engineers: Foundations and Connections
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Chapter39: Relativity
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In frame S, event B occurs 2 ms after event A and at Dx = 1.5 km from event A. 
(a) How fast must an observer be moving along the +x axis so that events A and B occur 
simultaneously? (b) Is it possible for event B to precede event A for some observer?
(c) Draw a spacetime diagram that illustrates your answers to (a) and (b). (d) Compute the 
spacetime interval and proper distance between the events. 

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