Simultaneous? in a reference frame s two very evenly matched sprinters are lined up a distance l apart along the x axis for a race parallel to the y axis. two starters, one beside each runner will fire their pistols at lightly different times, giving a handicap to the faster of the two sprinters. the time difference in the frame s is t (a) for what range of time differences will there be a reference frame s in which there is no handicap, and for what range of time difference is there a true (not apparent) handicap. (b) determine the lorentz transformation to the frame s appropriate for each of the two possibilities in part (a), finding the velocity of s relative to s