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"Given that: Delta X prime = -V Delta - t prime C Delta t prime = 2 squareroot t^2 + (Delta X prime/2)^2 = 2 squareroot L^2 + (-v Delta t prime/2)^2 (C Delta t prime/2)^2 = L^2 + (v Delta t prime/2)^2 Delta t prime^2 (c^2 - v^2) = 4L^2 C Delta t prime = 2 L/ squareroot 1 - (v/c)^2 Delta x prime = -v Delta t prime = 2 L (v/c)/ squareroot t (v/c)^2 C Delta t prime = 2 L/ squareroot 1 - (v/c)^2 = C Delta t - V x
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