A red light flashes at position xR = 3.00 m and time tR = 1.00 × 10-9 s, and a blue light flashes at xB = 5.00 m and tB = 9.00 × 10-9 s, all measured in the S reference frame. Reference frame S' moves uniformly to the right and hasits origin at the same point as S at t = t' = 0. Both flashes are observed to occur at the same place in S'. (a) Find the relative speed between S and S'. (b) Find the location of the two flashes in frame S'. (c) At what time does the red flash occur in the S' frame?

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Proper Length

The theory of special relativity explains the connection between space and time to objects that move in a straight line at a constant speed. The objects move at the speed of light. When an object approaches light speed, its mass is endless and cannot move faster than light. The most crucial postulate of Einstein's special relativity is that the laws of nature do not change in each frame of reference.