A Coast Guard ship is traveling at a constant velocity of 4.01 m/s, due east, relative to the water. On his radar screen the navigator detects an object that is moving at a constant velocity. The object is located at a distance of 3230 m with respect to the ship, in a direction 22.0° south of east. Six minutes later, he notes that the object's position relative to the ship has changed to 548 m, 69.0° south of west. What are (a) the magnitude and (b) direction of the velocity of the object relative to the water? Express the direction as an angle with respect to due west.

A Coast Guard ship is traveling at a constant velocity of 4.01 m/s, due east, relative to the water. On his radar screen the navigator detects an object that is moving at a constant velocity. The object is located at a distance of 3230 m with respect to the ship, in a direction 22.0° south of east. Six minutes later, he notes that the object's position relative to the ship has changed to 548 m, 69.0° south of west. What are (a) the magnitude and (b) direction of the velocity of the object relative to the water? Express the direction as an angle with respect to due west.