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Question from Real Analysis subject in University Answer using working out please In 1969 Armstrong Aldrin and Collins became the first humans on the moon

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Question from Real Analysis subject in University Answer using working out please In 1969 Armstrong Aldrin and Collins became the first humans on the moon They lifted off from Cape Canaveral did a loop of the earth then headed for the moon where they landed 102 hours 45 minutes and 40 seconds later During that time of course the earth was busily rotating and the moon was busily orbiting and so forth so it is very difficult to describe exactly how far they were from Cape Canaveral or from the moon at most points in time during their trip Prove that there was a moment during the trip where they were exactly the same distance from Cape Canaveral as they were from their eventual landing site on the moon You can assume that the distance between two given objects is a continuous function of time

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