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Math Help - Position vectors

  1. #1
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    May 2008
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    Smile Position vectors

    I am having trouble solving this problem, can anyone help me out...please!

    A particle traveling in a straight line is located at the point (1, -1, 2) and has speed 2 at time t=0. The particle moves toward the point (3, 0, 3) with constant acceleration 2i+j+k. Find its position vector r(t) at time t.


    any help is greatly appreciated
    thank you
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  2. #2
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    Jul 2008
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    It would be easier if you specified what part of the problem you found difficult. I'm going to assume it is the accelleration vector.

    What if I tell you that

    \vec{a}(t)=\frac{d\vec{v}}{dt}=\frac{d^2\vec{p}}{d  t^2} If you don't know, \frac{d^2\vec{p}}{dt^2} is the second derivative of \vec{p}(t).
    Then, \vec{p}(t)=p_1i+p_2j+p_3k \, \Rightarrow \, \vec{v}(t)=\frac{dp_1}{dt}i+\frac{dp_2}{dt}j+\frac  {dp_3}{dt}k

    or something like that, and so on.

    Was that understandable?
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