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Posted by on Monday, December 3, 2012 at 12:46pm.

An airplane flies due south at 185 km/h relative to the air. There is a wind blowing at 68 km/h to the east relative to the ground. What are the plane's speed and direction relative to the ground?

  • Physics - , Wednesday, December 5, 2012 at 7:48pm

    Vp = 185km/h @270o + 68km/h @ 0o.

    X = 185*cos270+68*cos(0)=0+68 = 68km/h.
    Y = 185*sin270+68*sin(0)=-185+0=-185km/h

    tanAr = Y/X = -185/68 = 2.72059.
    Ar = -69.82o = Reference angle.
    A = -69.82 + 360 = 290o = Direction.

    Vp = X/cosA = 68/cos290=197 m/s=Velocity
    of plane.

  • Physics - , Tuesday, February 12, 2013 at 5:06pm

    @Henry: Where the heck did you get 270??

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