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A plane takes off at St. Louis, flies straight to Denver, and then returns the same way. The plane flies at the same speed with respect to the ground the entire flight, and there are no headwinds or tailwinds. Since the earth revolves around its axis once a day, you might expect that the times for the outbound trip and the return trip differ, depending on whether the plane flies against the earth‚s rotation or with it. However, under the conditions given, the flights are identical. Explain why.

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