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Homework Help: Vector components help

  1. Oct 22, 2008 #1
    1. The problem statement, all variables and given/known data

    Man runs with velocity = 5m/s @ 25 degrees north of east for 10 minutes.
    How far to the north of his starting position does he end up?

    2. Relevant equations

    3. The attempt at a solution
    I know this has got to be the easiest problem to solve but im not getting it. this is what I did.

    It asked for how far to the north, so I assumed they were looking for a final position. I used vector components (5cos25)i + 5(sin25)j, but I dont know how to solve for the distance x. I know theres a formula v = x / t but that didnt help.
  2. jcsd
  3. Oct 23, 2008 #2
    Re: Vectors

    Vector components is the way to go. They only ask for the distance travelled North, so use the component of the velocity along the y-axis (North) and from that magnitude (speed), you can use your Speed = distance/time equation.

    i.e. x = vt

    (remember to convert time to seconds).


    You could work out his displacement, using Velocity = displacement/time, i.e. Displacement = velocity x time and then break the displacement vector down into components.

    Both should give you the same answer.
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