In the reference frame two very evenly matched sprinters are lined up a distance d apart
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(a) For what range of time differences will there be a reference frame K' in which there is no handicap, and for what range of time differences is there a frame K' in which there is a true (not apparent) handicap?
(b) Determine explicitly the Lorentz transformation to the frame K' appropriate for each of the two possibilities in part a, finding the velocity of K' relative to К and the space-time positions of each sprinter in K'.
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