A river flows with a current of 5.0 mi/h directly south. A small boat has a maximum speed in still water (i.e., on a quiet lake) of 10 mi/h. The pilot points the boat due east and sets the engine at full throttle to move the boat at maximum speed. In what direction does the boat actually move? Hint: The velocities of the river and the boat in still water can both be described as vectors, each having a magnitude and direction. The total velocity of the boat when traveling in the river is the sum of these two vectors.
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