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A river is flowing directly south with a velocity of 2 m/s. A boat has a...

A river is flowing directly south with a velocity of 2 m/s. A boat has a speed of 5 m/s relative to the water. The river is 150 m wide at the point where the boat leaves the dock on the west bank. The boat heads directly east to a point directly across the river from the dock. How long will it take the boat to cross the river? Where will the boat actually land along the east bank? What is the speed of the boat as measured by a person on the bank? If the boat wants to actually hit point directly across the river from the dock, what should the heading of the boat be? How long will it take the boat to get to that point?

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