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 0.621 m/ s. In still water, he can swim at 0.711 m / s. At what angle, less than 90, with respect to the shoreline would you advise him to swim to travel directly across the stream to his campfire? Number The water is near freezing in temperature. Typically a human can only swim in such water for about 300 seconds (or 5 minutes) before hypothermia sets in. Calculate the time the explorer spends in the water if the river is 26.5 meters wide. Number

Explanation / Answer

1)

0.711 m/s x cos = 0.621 m/s

cos = 0.8734

= 29º with respect to shore

2)

That makes his crossing velocity

v = 0.711m/s x sin29º

v = 0.3462 m/s,

and the time it takes

t = d / v

t = 26.5 m / 0.3462 m/s

t = 76.55 s

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