Solution to 1992 Problem 94

The Lorentz transformation that describes the coordinate transformation between an unprimed coordinate system at rest and a primed coordinate system in the positive x direction with speed v is given by:

\begin{align}x' &= \gamma \left(x - v t \right) \\y' &= y \\z' &= z \\t' &= \gamma \left(t - \frac{v x}{c^2} ...
\setcounter{equation}{4}\begin{align}\gamma = \frac{1}{\sqrt{1 - v^2/c^2}}\end{align}

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