Final answer:
To find the velocity of the Gulf Stream, convert the given velocities to their northward and westward components using trigonometry. Subtract the northward component of the ship's velocity from the total velocity to find the velocity of the Gulf Stream. Finally, calculate the magnitude and direction of the Gulf Stream's velocity using vector addition.
Step-by-step explanation:
The velocity of the Gulf Stream can be calculated using vector addition. We can break down the velocity of the ship into its northward and westward components using trigonometry. The northward component can then be subtracted from the total velocity to obtain the velocity of the Gulf Stream.
Step 1: Convert the given velocities to their northward and westward components using trigonometry.
Step 2: Subtract the northward component of the ship's velocity from the total ship's velocity to find the velocity of the Gulf Stream.
Step 3: Calculate the magnitude and direction of the Gulf Stream's velocity using vector addition.