You are a member of a production crew filming a nature explorer in the Rocky Mou
ID: 2284200 • Letter: Y
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 0.661 m/s. In still water, he can swim at 0.7 15 m/s. At what angle, less than 90 degree, 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 n the water if the over is 26.5 meters wide. Number Based on your results, what would be your advice to the explorer? Approved. He?ll get cold but he should be able to make it across. Sorry, but we will need to cancel the swim. He?ll never make it across in time.Explanation / Answer
Part A)
From the geometry of the situation, the triangle formed will have the .715 as the hypotenuse and the .661 as the opposite side, so...
sin(angle) = .661/.715
angle = 67.6o
Part B)
The net speed straight across is found from the Pythagrean Theorem
(.715)2 = (.661)2 + net2
net = .273 m/s straight across the river.
Then apply d = vt
26.5 = (.273)(t)
t = 97.2 sec
The swim would be approved.
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