Vector Addition - Grade 12 part 3

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SUMMARY

The discussion focuses on calculating the resultant displacement of a jet flying at 345 km/h at an angle of 225 degrees, while encountering a wind blowing at 40 km/h from the West. Participants emphasize using the construction line method, components method, and the law of sines and cosines to solve the problem. Key recommendations include drawing a free body diagram and resolving the forces to visualize the vectors effectively.

PREREQUISITES
  • Understanding of vector addition and displacement
  • Familiarity with the law of sines and law of cosines
  • Knowledge of trigonometric functions
  • Ability to create and interpret free body diagrams
NEXT STEPS
  • Practice vector addition using the construction line method
  • Explore the components method for resolving vectors
  • Study the application of the law of sines in vector problems
  • Learn how to effectively draw and analyze free body diagrams
USEFUL FOR

Students in Grade 12 physics, particularly those studying vector addition and displacement in mechanics, as well as educators looking for teaching strategies in physics problem-solving.

smittyj
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Homework Statement


A new pilot with Canjet is asked to find the resultant displacement of his jet if it flies at 345km/h @ 225 degrees into a wind that is blowing at 40km/h from the West. Use the 'construction line' method, components method, AND law of sines and cosines.


Homework Equations


Law of sines, law of cosines, trig functions



The Attempt at a Solution


Lame attempt.
 
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Can you show your attempt please as per PF guidelines.

It may help you to consider drawing a freebody diagram and resolving all the forces.
 
Try drawing both vectors from the same origin. If you connect the heads with a line, you will have a triangle, from which you can apply the trig stuff.
 

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