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An athlete runs 9 km in 46.9 min, as measured by a friend at rest relative...

An athlete runs 9 km in 46.9 min, as measured by a friend at rest relative to the Earth. The runner also measures the time with a watch. By how much do the two time measurements differ? (Hint: Use the binomial approximation.)

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there is very small change in time which can not be detected .

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