Question Part Points Submissions Used A river flows with a current of 5.5 mi/h d

Question

Question Part Points Submissions Used A river flows with a current of 5.5 mi/h directly south. A small boat has a maximum speed in still water (i. e., on a quiet lake) of 11 mi/h. The pilot points that boats due east and seats 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. Magnitude mi/h direction degree south of east

Explanation / Answer

The magnitude in miles per hour would be 12.298.

This is found by = square root of (5.5^2 + 11^2).

The direction = arctan(11/5.5) = 63.43 degrees!

Hope this helps! And please rate my answer if it was helpful!

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