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Homework Help: SUPER Power question

  1. Nov 17, 2008 #1
    SUPER URGENT !!! Power question

    1. The problem statement, all variables and given/known data

    A truck of mass m is accelerated from rest at t=0 with constant power P along a level road

    show that the position of the truck is related to its speed by x=(m/3P)v^3

    the position of the truck is previously found as:

    x=(8P/9m)1/2*t3/2

    I also found the v=(2P/m)1/2*t1/2

    2. Relevant equations

    Integral

    3. The attempt at a solution

    I have not found anyway to do this problem yet. I tried to to relate v to x by taking the integral of v by integrate (m/3P)v^3 but I am stuck.
     
  2. jcsd
  3. Nov 17, 2008 #2

    tiny-tim

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    Science Advisor
    Homework Helper

    Hi nns91! :smile:
    erm … i think you need a power nap :redface:

    if v=(2P/m)1/2*t1/2,

    then v3 = … ? :smile:
     
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