Solution to 2001 Problem 34

Recall that two events could occur at the same time in an inertial reference frame if and only if the invariant interval between them is spacelike i.e.
\begin{align*}\left(\Delta x\right)^2 + \left(\Delta y\right)^2 + \left(\Delta z\right)^2 - c^2 \left(\Delta t \right)^2 >...
In our case \Delta y = \Delta z = 0, so this inequality reduces to
\begin{align*}\left(\Delta x\right)^2 - c^2 \left(\Delta t \right)^2 > 0 \Rightarrow \frac{\left|\Delta x \right|}{\left|\...
Therefore, answer (C) is correct.

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