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Two swimmers, Chris and Sarah, start together at the same point on the hank, of a wide stream that flows with a speed v. Both move at the same speed c (where c > v) relative to the water. Chris swims downstream a distance L and then upstream the same distance. Sarah swims so that her motion relative to the Earth is perpendicular to the hanks of the stream. She swims the distance L and then back the same distance, with both swimmers returning to the starting point. In terms of L, c, and v, find the time intervals required (a) for Chris’s round trip and (b) for Sarah’s round trip. (c) Explain which swimmer returns first.
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