Addition of 2-D vectors and relative velocity

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SUMMARY

The discussion focuses on determining the correct heading for a plane flying due north while accounting for a gentle wind from the south-west. The user illustrated two scenarios: one where the plane flies directly north and another where it flies north-west. The conclusion emphasizes the need to resolve the vector components to find the precise angle the plane must point to counteract the wind and reach its destination accurately.

PREREQUISITES
  • Understanding of 2-D vector addition
  • Knowledge of relative velocity concepts
  • Familiarity with trigonometric functions for angle calculations
  • Basic skills in drawing vector diagrams
NEXT STEPS
  • Study vector resolution techniques in physics
  • Learn about wind vector effects on aircraft navigation
  • Explore trigonometric applications in vector problems
  • Practice with real-world examples of flight paths affected by wind
USEFUL FOR

Aerospace engineers, physics students, and anyone involved in flight navigation or vector analysis will benefit from this discussion.

Bruce_Wayne
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Homework Statement



A plane must fly to a destination located due north from its departure point. A gentle wind is blowing from the south-west. What direction must the plane point to reach its destination?

Homework Equations





The Attempt at a Solution



http://i.minus.com/iMPPjrIF6APd.png


In situation 1 I drew the displacement if the plan was to fly due north. In situation 2 I drew the displacement if the plane was to fly north-west.

I'm not really sure, but I think that sit. 2 might be what happens if the plane wanted to reach its destination.
 
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You have the geometry right, now you just need get the components to work out. Without a little more info, there's not much more we do.
 

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