Maximum height of the water fall that the salmon can clear


A Chinook salmon has a maximum underwater speed of 3.58 m/s, but it can jump out of the water with a speed of 6.26 m/s. To move upstream past a waterfall, the salmon does not need to jump to the top of the fall, but only to a point in the fall where the water speed is less than 3.58 m/s; it can then swim up the fall for the remaining distance. Because the salmon must make forward progress in the water, let's assume that it can swim to the top if the water speed is 3.00 m/s. If the water has a speed of 1.50 m/s as it passes over a large ledge, how far below the ledge will the water be moving with a speed of 3.00 m/s? (Note that water undergoes projectile motion once it leaves the ledge.) If the salmon is able to jump vertically upward from the base of the fall, what is the maximum height of the water fall that the salmon can clear?

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Physics: Maximum height of the water fall that the salmon can clear
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