Results 1 to 4 of 4

Math Help - vector

  1. #1
    Junior Member
    Joined
    Feb 2008
    From
    NWT, Canada
    Posts
    51

    vector

    A plane flies 60km due north then makes a 40 turn west and flies another 30 km. The pilots makes a 2nd 40 turn west and lands 50km later. USe vector components to find the planes displacement.
    Vector 1: x=0, y = 60
    Vector 2: x=30cos40=-22.98, y= 30sin40=19.28
    Vector 3: x=50cos40=-38.30, y=50sin40=32.14
    Adding all the Xs up I get 61.28 and for y 82.42
    To find displacement I do 82.42/61.28=tan theta
    tan^-1(82.42/61.28)=52.37
    180-42-37=127
    So displacement would be 127?

    Follow Math Help Forum on Facebook and Google+

  2. #2
    Super Member
    earboth's Avatar
    Joined
    Jan 2006
    From
    Germany
    Posts
    5,830
    Thanks
    123
    Quote Originally Posted by iamanoobatmath View Post
    Vector 1: x=0, y = 60 sin(90)
    Vector 2: x=30cos(130)=-22.98, y= 30sin(130)=19.28
    Vector 3: x=50cos(170)=-38.30, y=50sin(170)=32.14
    Adding all the Xs up I get 61.28 and for y 82.42
    To find displacement I do 82.42/61.28=tan theta
    tan^-1(82.42/61.28)=52.37
    180-42-37=127
    So displacement would be 127?

    Unfortunately you have mixed up the angle of rotation (changing course), the bearing which the plane is heading and the angle of the components (measured to the positive x-axis).

    I've attached a sketch to demonstrate what you should have used instead.

    One personal remark: It is a huge difference between sin(2) and sin(2)
    Attached Thumbnails Attached Thumbnails vector-flugzeugreise.png  
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Junior Member
    Joined
    Feb 2008
    From
    NWT, Canada
    Posts
    51
    What software did you use to produce that image?
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Super Member
    earboth's Avatar
    Joined
    Jan 2006
    From
    Germany
    Posts
    5,830
    Thanks
    123
    Quote Originally Posted by iamanoobatmath View Post
    What software did you use to produce that image?
    I use this program:

    EUKLID DynaGeo Header Page

    But have a look here if you need a program for 3D-questions:

    Archimedes Geo3D

    Both programs are not freeware.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 8
    Last Post: January 11th 2011, 11:17 AM
  2. Replies: 2
    Last Post: January 27th 2010, 09:23 PM
  3. Replies: 11
    Last Post: December 23rd 2009, 02:30 AM
  4. Replies: 4
    Last Post: November 5th 2009, 05:03 PM
  5. Replies: 2
    Last Post: October 5th 2009, 04:25 PM

Search Tags


/mathhelpforum @mathhelpforum