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A boat is rowed with constant velocity u starting from point A on the bank of a river of width d. Water in the river flows at a constant speed nu. The boat always points towards a point O on the other bank which is directly opposite to A (figure). Find the path equation r=f(theta) for the boat.

A boat is rowed with constant velocity u starting from point A on the bank of a river of width d. Water in the river flows at a constant speed nu. The boat always points towards a point O on the other bank which is directly opposite to A (figure). Find the path equation r=f(theta) for the boat.

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Grade:11

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