A proton strikes an air molecule in Earth's atmosphere, creating a muon (6.0 mathrm{~km}) above the ground.

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A proton strikes an air molecule in Earth's atmosphere, creating a muon \(6.0 \mathrm{~km}\) above the ground. The muon travels toward Earth at nearly \(c_{0}\) and decays just before reaching the ground. An observer traveling along with the muon determines that it lives for \(2.2 \times 10^{-6} \mathrm{~s}\). According to this observer, what is the distance between the ground and the muon at the instant the muon is created?

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