Solution to 2001 Problem 33

We use the invariant interval to find the time \Delta t it takes the pion to travel 30 \mbox{ m} in the lab frame:

\begin{align*}\left(30 \mbox{ m}\right)^2 -  c^2 \left(\Delta t\right)^2 = - c^2 \left(10^{-8} \mbox{ s}\right)^2 \Rightarrow...
Therefore, the pion's speed in the laboratory frame is
\begin{align*}\frac{30 \mbox{ m}}{\displaystyle \sqrt{\frac{\left(30 \mbox{ m} \right)^2 + \left(c \cdot 10^{-8} \mbox{ s} \r...
Therefore, answer (D) is correct.

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