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Vector Application

  1. Apr 28, 2010 #1
    1. The problem statement, all variables and given/known data

    A pilot wishes to fly form city A to city B, a distance of 720 km on a bearing of 070°. The speed of the plane is 700 km/h. An 60 km/h wind is blowing on a bearing of 110°. What heading should the pilot take to reach his or her destination? How long will the trip take?

    Can only use the cartesian vector method for this

    2. Relevant equations



    3. The attempt at a solution

    This is what I get (Please correct me if I am wrong)

    We find the x and y values of the 700 vector:
    =[700 cos(20°).700 sin(20°)]
    =[658,239]

    We now find the x and y values of the wind vector (60)
    =[60 cos(20°),-700 sin(20°)]
    =[56,-21]

    To find the resultant, we will need to add the two vectors (correct?)

    [658 + 239] + [56,-21]

    Is this method correct? any help is much appreciated


    Thanks!
     
  2. jcsd
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