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 debris flowing down the river, you estimate that the stream is flowing at 1.45 mph. In still water, he can swim at 1.61 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 temperature. Typically a human can only swim in such water for about 5 minutes before hypothermia sets in. Calculate the time the explorer spends in the water if the river is 89.5 feet wide. Based on your results, what would be your advice to the explorer?

Explanation / Answer

(a) heta =Sin^{-1} (vy/vx) =Sin^{-1}(1.45/1.61) =64.24 degrees.)

b)Velocity component across stream=1.61Cos theta=0.70mph=1.027ft/s

time taken=d/v=87.1s=1.45 minutes

c)Approved. He'll get cold but he should be able to make it across.

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