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Projectile motion of a sailboat

  1. Sep 22, 2009 #1
    1. The problem statement, all variables and given/known data

    A sailboat runs before the wind with a constant speed of 3.9m/s in a direction 44 north of west.
    How far west has the sailboat traveled in 23min ?
    How far north has the sailboat traveled in 23min ?
    Answer in two sigfigs

    2. Relevant equations

    hypothesis*cos(theta)=x
    hypothesis*sin(theta)=y


    3. The attempt at a solution

    23min=1380seconds
    3.9*1380=5382(the length of hypothesis)

    Sailboat traveled distance of WEST in 23min : 5382*cos(44)=3871.486805
    two sigfigs : 3900

    Sailboat traveled distance of NORTH in23min: 5382*sin(44)=3738.65136
    two sigfigs : 3700

    *:multiply

    I solve like this but its wrong.
    What did I do wrong?
     
  2. jcsd
  3. Sep 23, 2009 #2

    tiny-tim

    User Avatar
    Science Advisor
    Homework Helper

    Welcome to PF!

    Welcome to PF! :smile:

    (it's hypotenuse! :wink: :biggrin:)
    hmm … looks ok to me :smile:

    do they want you to convert to km?
     
  4. Sep 26, 2009 #3
    Re: Welcome to PF!

    Thanks for reply!

    I forgot to convert that to km. :)
     
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