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Homework Help: Another Vectors Question.

  1. Apr 22, 2006 #1
    Two ships P and Q are travelling at night with constant velocities. At midnight, P is at the point with position vector (20i + 10j) km relative to a fixed origin O. At the same time, Q is at the point with position vector (14i – 6j) km. Three hours later, P is at the point with position vector (29i + 34j) km. The ship Q travels with velocity 12j km h–1. At time t hours after midnight, the position vectors of P and Q are p km and q km respectively. Find
    (a) the velocity of P, in terms of i and j,

    (b) expressions for p and q, in terms of t, i and j.

    At time t hours after midnight, the distance between P and Q is d km.
    (c) By finding an expression for PQ, show that
    d^2 = 25t^2 – 92t + 29^2.
    ---

    Hi... another vectors question....
    i get the answers to part a and and b... however, for C i dont really know how to do this one.... maybe im lacking the principles to this question. :confused: ... If anyone could walk me through part C.. it would really help...
    Thanks :)

    PS. Do you know of any good internet source that has extensive tutorials on vectors?
     
  2. jcsd
  3. Apr 22, 2006 #2

    Hootenanny

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    How'd you calculate the distance between two points on a graph? You should apply the same rule here.

    ~H
     
  4. Apr 22, 2006 #3
    (y2 -y1) ÷ (x2 -x1)?
     
  5. Apr 22, 2006 #4

    Hootenanny

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    Using pythag;

    [tex]d = \sqrt{(x_{2}-x_{1})^2 + (y_{2}-y_{1})^2}[/tex]

    ~H
     
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