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Vectors in Relative Velocities Problems
If so instructed by your teacher, print out a worksheet page for these problems.
Open the slide called Relative Velocities (with text) and read the explanation of the vector equation of airspeed.

 

Click on image for detailed description

 

A pilot is about to take off from a Bensonville airport which has two runways. Runway A runs East-West and Runway B runs 30 degrees West of North. There is a wind of 25 mph out of the Northwest (see figure above).

 

  1. Which runway should the pilot choose?

  2. What is the magnitude of the velocity vector of the wind along the desired runway?

  3. If an airspeed of 100 mph is required for takeoff, what is the ground speed required?

  4. Before the pilot is able to take off, the wind shifts. The wind is now directly out of the north at 25 mph.Will the pilot choose the same runway?

    What is the ground speed required now?

 

Please send any comments to:
Curator: Tom.Benson@grc.nasa.gov
Responsible Official: Kathy.Zona@grc.nasa.gov