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Homework Help: Relative Motion - Airplane Problem

  1. Sep 30, 2013 #1
    1. The problem statement, all variables and given/known data

    An airplane has a velocity 325km/h relative to the air. It is going in a direction [S30W]. There is a wind velocity of 80km/h[W]. What is the velocity of the plane relative to the ground?

    2. Relevant equations

    aVg + pVa = pVg
    (velocity of air relative to ground + velocity of plane relative to air = velocity of plane relative to ground)

    3. The attempt at a solution

    pVa = 325km/h and aVg = 80km/h [W] and pVg = ? [S30W]

    i know pVg^2 = aVg^2 + pVa^2
    but, i'm not getting the number i'm supposed to?
  2. jcsd
  3. Oct 1, 2013 #2
    The problem does not state specifically that the vectors form a 90 degree triangle. So you cannot assume that.
  4. Oct 1, 2013 #3
    You could divide pVa into components.
  5. Oct 1, 2013 #4
    Can you possibly attach a diagram showing the vectors?
  6. Oct 1, 2013 #5


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