Airplane Flight Time Calculation with Prevailing Wind and Air Speed

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SUMMARY

The discussion focuses on calculating flight time for a journey of 900 km at a heading of North 30 degrees East, considering a prevailing wind from the west at 80 km/h and an airspeed of 300 km/h. The formula t = d/v is essential for determining time, where 't' is time, 'd' is distance, and 'v' is velocity. Additionally, constructing a vector diagram is recommended to visualize the effects of wind on the aircraft's trajectory, which is crucial for accurate calculations.

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  • Understanding of vector addition and resolution
  • Familiarity with basic physics formulas, particularly t = d/v
  • Knowledge of trigonometric ratios (SOH CAH TOA)
  • Ability to interpret vector diagrams
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Homework Statement


heres the question: An island is located 900km (North 30 degrees east). The weather office informs him of a prevailing wind from the west of 80km/h. If the pilot wasnt to maintain and air speed of 300km/h, how long will the flight take?


Homework Equations





The Attempt at a Solution

 
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Well, you should start by looking at some formulas that could be useful such as [tex]t=\frac{d}{v}[/tex], and the soh cah toa ratios.
 
It would also be helpful if you drew yourself a vector diagram.
 

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