Physics Question: Airspeed & Wind Velocity | 13 Marks

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SUMMARY

The discussion focuses on calculating the velocity of a small plane with an airspeed of 200 km/h and a wind speed of 50.0 km/h from the west. Participants emphasize the importance of vector analysis and trigonometry for determining the plane's velocity relative to the ground in various directions, including East, West, North, and a specific angle of N40°E. The use of vector components is highlighted as a key method for solving the problem without needing to calculate square roots, as the question requires velocity rather than speed.

PREREQUISITES
  • Understanding of vector analysis in physics
  • Knowledge of basic trigonometry functions
  • Familiarity with airspeed and wind velocity concepts
  • Ability to interpret directional notations such as N40°E
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  • Study vector addition and subtraction in physics
  • Learn how to resolve vectors into components
  • Explore trigonometric functions relevant to right and acute triangles
  • Practice problems involving airspeed and wind velocity calculations
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Students studying physics, particularly those tackling problems related to airspeed and wind velocity, as well as educators seeking to enhance their teaching methods in vector analysis.

SkipToMaLou
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Hey doing virtual school for physics and needed help on a question...

The airspeed of a small plane is 200 km/h. The wind speed is 50.0 k/h from the west. Determine the velocity of the plane relative to ground if the pilot keeps the plane pointing to each of the following directions:
[13 Marks]
a) [E] **
b) [W] **
c) [N] ****
d) [N400E] *****
Hint: This question may require Trigonometry functions for both right angle and acute triangles
* = how much there worth

I had 17 questions and stuck on this last one...my brain is like dead :|
 
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I'm not sure what [N400E] means. Except if this gives you an odd angle you shouldn't need trigonometry.

Try the problem in vector format and all you'll need is square roots... in fact since they ask for velocity instead of speed you shouldn't even need to take a square root... just give magnitude components in each direction.

But if you want any more hints than "use vectors" you need to show what you've tried so far.
 

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