Determining wind velocity vector.

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SUMMARY

The discussion focuses on determining the wind velocity vector affecting a light plane traveling due south at 185 km/h. After one hour, the plane covers only 136 km and is observed to be heading Southeast at a 45-degree angle. The problem requires the application of vector addition, specifically using the equation vec{A} = vec{B} + vec{C}, where vector B represents the plane's velocity and vector C represents the wind velocity. Participants suggest using i, j substitution for solving the problem, indicating a need for trigonometric analysis.

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  • Understanding of vector addition in physics
  • Familiarity with trigonometric functions and their applications
  • Knowledge of i, j notation for vector representation
  • Basic principles of relative motion in aerodynamics
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  • Learn about relative motion and its applications in aviation
  • Explore trigonometric methods for solving vector problems
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Jonathan Teas
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Homework Statement


A light plane is headed due south with a speed of 185km/h "relative to still air". After 1.0hr, the pilot notices that they have only covered 136km. And that their direction is Southeast 45 degrees. What is the wind velocity?


Homework Equations


Im guessing you have to use i, j substitution, but I am just not sure of how or what you would do.



The Attempt at a Solution


I drew it out, and tried solving it trigonometricly...Failed. Tried to look at it the same way as problems with someone swimming and a current pushing them away from their destination point, but I just couldn't figure it out.
 
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Jonathan Teas said:

Homework Statement


A light plane is headed due south with a speed of 185km/h "relative to still air". After 1.0hr, the pilot notices that they have only covered 136km. And that their direction is Southeast 45 degrees. What is the wind velocity?


Homework Equations


Im guessing you have to use i, j substitution, but I am just not sure of how or what you would do.



The Attempt at a Solution


I drew it out, and tried solving it trigonometricly...Failed. Tried to look at it the same way as problems with someone swimming and a current pushing them away from their destination point, but I just couldn't figure it out.

[itex]\vec{A}[/itex]=[itex]\vec{B}[/itex] + [itex]\vec{C}[/itex]

Vector B and C not necessarily orthogonal as in river crossing.
 

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