Swimming speed of fish For a fish swimming at a speed v relative to the water, the

Chapter 4, Problem 28

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Swimming speed of fish For a fish swimming at a speed v relative to the water, the energy expenditure per unit time is proportional to v 3 . It is believed that migrating fish try to minimize the total energy required to swim a fixed distance. If the fish are swimming against a current u su , vd, then the time required to swim a distance L is Lysv 2 ud and the total energy E required to swim the distanc

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