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A boats's motor can allow it to travel at speed 2V. The boat is aimed with a heading of 180 degrees. The river is X metes wide. The river flows at speed V at 270 degrees.

What is the magnitude of the resultant velocity of the boat ?
What is the heading of the resultant velocity of the boat ?
How long does it take the boat to cross the river ?
How far downstream from the launch point will the boat land on the opposite shore?
With what heading must the boat be aimed to reach a point directly across from the launch point ?

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