A Coast Guard ship is traveling at a constant velocity of 4.20 m/s, due east, relative to the water.



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Question

A Coast Guard ship is traveling at a constant velocity of 4.20 m/s, due east, relative to the water. On his radar screen the navigator detects an object that is moving at a constant velocity of . The object is located at at a distance of 2310 m with respect to the ship, in a direction of 32.0 degrees south of east. Six minutes later, he notes that the object's position relative to the ship has changed to 1120 m, 57 degrees south of west. What are the magnitude and direction of the velocity of the object relative to the water? Express the direction as an angle with respect to due west.

 



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