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

Question

A. 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 0.645 m / s. In still water, he can swim at 0.751 m / s. At what angle with respect to the shoreline would you advise him to swim to travel directly across the stream to his campfire? B. 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 26.7 meters wide.

Explanation / Answer

to swim directly across the stream the horizontal component of the swimmers velocity must cancel out rivers velocity. cos theta =.645/.751 sin theta= 0.512 vertical component =0.751*0.512 =0.384 time taken = river width/vertical component =26.7/0.384 =69.4 s

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