Solving Velocity and Vector Problems to Understanding Relative Motion

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To solve the first problem, the ferry's velocity relative to the water can be determined by analyzing the passenger's movement and applying vector addition. The second question requires finding the magnitudes of vectors A and B, given that their sum with vector C equals zero. This involves breaking down the vectors into their components and using trigonometric functions to resolve the angles. Both problems emphasize the importance of understanding relative motion and vector addition in physics. A thorough approach to these calculations will clarify the relationships between the velocities and directions involved.
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Hey if anyone could help me out with these questions that would be great. Thx!


1.A passenger walks from one side of a ferry to the other as it approaches a dock. If the passenger's velocity is 1.50 m/s due north relative to the ferry, and 4.5 m/s at an angle of 30.0° west of north relative to the water, what are the direction and magnitude of the ferry's velocity relative to the water?

2.
Vector A points in the negative x direction. Vector B points at an angle of 30.0° above the positive x axis. Vector C has a magnitude of 11 m and points in a direction 39.0° below the positive x axis. Given that A + B + C = 0, find the magnitudes of A and B.
 
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