You are a member of a production crew filming a nature explorer in the Rocky Mou

Question

You are a member of a production crew filming a nature explorer in the Rocky Mountains, the explorer needs to swim across a river to his campsite. By watching debrin flowing down the river, you estimate that the stream is flowing at 1.47 mph. In still water he can swim at 1.57 mph. At what angle with respect to the shoreline would you advise him to swim to travel directly across the stream to his campfire? The water is near freezing in temeprature. Typically a human can only swim in such water for about 5 minutes before hypothermia sets in. Calculate the time the explorer speands in the water if the river is 93.3 feet wide?

Explanation / Answer

According to the question

We know that

To swim directly across the stream the horizontal component of the swimmers velocity must cancel out rivers velocity. cos theta =1.47/1.57 sin theta= 0.936component =1.57*0.936=1469 time taken = river width/vertical component =93.3/1469 = 0.0635 s

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