Two scientists decide to experimentally verify the phenomenon of time dilation. One scientist sets up a lab on an airplane, an the other scientists sets up a lab on the ground. The idea is for each scientist to measure the time it takes for muons at rest on the surface of the Earth to decay. Suppose that the clocks can measure time down to a precision of 10^-10 s 0.0000000001 s. If the scientist on Earth measures a lifetime of 2.2x10 s, how fast must the other scientist's plane travel relative to the ground so that the diffe rence in time intervals predicted by relativity can be detected?
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