Solving Velocity and Vector Problems to Understanding Relative Motion

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SUMMARY

This discussion focuses on solving velocity and vector problems related to relative motion. The first problem involves calculating the ferry's velocity relative to the water, given a passenger's velocity of 1.50 m/s north relative to the ferry and 4.5 m/s at a 30.0° angle west of north relative to the water. The second problem requires finding the magnitudes of vectors A and B, given that their sum with vector C equals zero. Both problems emphasize the application of vector addition and trigonometric principles in physics.

PREREQUISITES
  • Understanding of vector addition and subtraction
  • Knowledge of trigonometric functions and their applications in physics
  • Familiarity with relative motion concepts
  • Ability to resolve vectors into components
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  • Study vector resolution techniques in physics
  • Learn about relative velocity in different reference frames
  • Explore the use of trigonometry in solving physics problems
  • Practice additional problems involving vector addition and equilibrium
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Students studying physics, educators teaching vector mechanics, and anyone interested in mastering relative motion concepts and vector analysis.

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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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