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Math Help - Vector Problem

  1. #1
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    Vector Problem

    Hey guys:
    An airplane is flying at an airspeed of 500 km/hr in a wind blowing at 60 km/hr toward the southeast. In what direction should the plane head to end up going due east? What is the airplane's speed relative to the ground?

    Thanks,
    Peter
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  2. #2
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    Quote Originally Posted by flybynight View Post
    Hey guys:
    An airplane is flying at an airspeed of 500 km/hr in a wind blowing at 60 km/hr toward the southeast. In what direction should the plane head to end up going due east? What is the airplane's speed relative to the ground?
    did you make a sketch?


    air vector + wind vector = ground vector

    using the method of components ...

    A_x + W_x = G_x

    500\cos{\theta} + 60\cos(-45) = G\cos(0)<br />

    A_y + W_y = G_y<br />

    500\sin{\theta} + 60\sin(-45) = 0


    finish it ... solve for G and \theta
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  3. #3
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    So then Theta=4.86756 degrees and G=540.623?
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  4. #4
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    Quote Originally Posted by flybynight View Post
    So then Theta=4.86756 degrees and G=540.623?
    close enough ... \theta is degrees North of East and G is in km/hr
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