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Homework Help: Position of toy moving on straight track

  1. Oct 18, 2007 #1
    1. The problem statement, all variables and given/known data
    The position of a toy locomotive moving on a
    straight track along the x-ais is given by the

    x = t^6 - 6t^2 + 9t

    where x is in meters and t is in seconds.

    The net force on the locomotive is equal to
    zero when t is equal to _______?

    Answer in units of s.

    2. Relevant equations
    x = t^6 - 6t^2 + 9t
    http://www.glenbrook.k12.il.us/gbssci/phys/Class/1DKin/U1L6a1.gif [Broken]

    3. The attempt at a solution
    I tried to get the acceleration equation by taking the second derivative of the position equation, setting it to zero, and solving for t... but doesnt look right.
    Last edited by a moderator: May 3, 2017
  2. jcsd
  3. Oct 18, 2007 #2


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    Homework Helper

    The procedure you described should give you the answer... where did you get stuck?
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