Results 1 to 2 of 2

Math Help - Vector problem

  1. #1
    Newbie
    Joined
    Jul 2010
    Posts
    13

    Vector problem

    Q: an airplane is flying at an airspeed of 600 km/hr in a cross-wind that is 30 degrees west of north at a speed of 50 km/hr. In what direction should the plane fly to end up going due west?

    Its been years since I did this, but am having a test and this problem will show up on it
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    skeeter's Avatar
    Joined
    Jun 2008
    From
    North Texas
    Posts
    12,135
    Thanks
    1013
    Quote Originally Posted by highc1157 View Post
    Q: an airplane is flying at an airspeed of 600 km/hr in a cross-wind that is 30 degrees west of north at a speed of 50 km/hr. In what direction should the plane fly to end up going due west?
    air vector + wind vector = ground vector

    let \theta = angle relative to due West for the Air vector

    using the method of components ...

    A_x + W_x = G_x

    600\cos{\theta} + 50\cos(60) = G

    A_y + W_y = G_y

    600\sin{\theta} + 50\sin(60) = 0

    solve for \theta using the 2nd equation. If you need to find the groundspeed, G, use the value found for \theta and the 1st equation.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Vector Problem
    Posted in the Math Topics Forum
    Replies: 3
    Last Post: November 7th 2010, 11:57 AM
  2. [SOLVED] Vector problem
    Posted in the Calculus Forum
    Replies: 1
    Last Post: October 3rd 2010, 04:03 PM
  3. 3D vector problem
    Posted in the Calculus Forum
    Replies: 1
    Last Post: May 7th 2010, 09:22 PM
  4. Vector problem
    Posted in the Algebra Forum
    Replies: 6
    Last Post: January 22nd 2010, 01:28 AM
  5. vector problem
    Posted in the Calculus Forum
    Replies: 2
    Last Post: January 8th 2010, 06:18 PM

Search Tags


/mathhelpforum @mathhelpforum