Final answer:
To determine the velocity of the wind relative to the water, we can use vector addition. By breaking down the velocities into their horizontal and vertical components, performing the addition, and applying trigonometry, we can find the resultant velocity.
Step-by-step explanation:
The velocity of the wind relative to the water can be determined using vector addition. We need to break down the velocities of both the wind and the ocean current into their respective horizontal and vertical components to perform the addition. After performing the vector addition, we can calculate the resultant velocity of the wind relative to the water.
Given that the ocean current has a velocity of 2.20 m/s in a direction 30.0° east of north and the wind has a velocity of 4.50 m/s in a direction 50.0° south of west, we can calculate the horizontal and vertical components for each velocity using trigonometry. Once we have the components, we can add them to find the resultant velocity of the wind relative to the water.
Using the law of cosines, we can find the magnitude of the resultant velocity and using the inverse tangent function, we can find its direction. This will give us the velocity of the wind relative to the water.