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Airplane Vectors problem

  1. Nov 18, 2009 #1
    1. The problem statement, all variables and given/known data

    An airplane flying North at 119.7 m/s encounters a 46.8 m/s tailwind. If the plane's destination is 573 km due North, what will its travel time be?

    2. Relevant equations



    3. The attempt at a solution

    I added the two velocities: 166.5 m/s. Then divided that by 573000, but that's not right becasue I get a very small number of seconds. What I am doing wrong.
     
  2. jcsd
  3. Nov 18, 2009 #2
    Velocity = Change in position / Change in time

    Change in time = Change in position / velocity

    I think you were doing velocity / change in position instead.
     
  4. Nov 18, 2009 #3

    your doing your math wrong.
    if the plane is going at 166.5 m/s, convert that to km ---->166.5m/s(1km/1000m).
    you should get a low number (something like 0.16.....), and thats how many km the plane goes in 1 second.
    It would also make it easier if you change seconds to hours (multiply by 3600 since there are 3600 seconds per hour), or just keep it as km/seconds if you would rather that.
    Anyways, you should get around 599 km/hour, and then you can calculate how much time that it would take if you the distance is 573km, and the plane is going around 599km/hr.


    check that though, i just did it in my head, so my math could be way off
    or i could be completely wrong :redface:

    hope that helped
     
    Last edited: Nov 18, 2009
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