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Homework Help: Linear Motion - Particle Displacement

  1. Dec 6, 2009 #1
    The function v(t) = 9 - t2 is the velocity in m/sec for a particle moving along the x-axis, where t is measured in seconds (t is greater than or equal to 0). Use analytic methods to solve:

    (a) When the particle is moving to the right, to the left, and stopped.
    (b) The particles displacement for 0 <= t <= 6 (<= means "less than or equal to")
    (c) The total distance the particle traveled for 0 <= t <= 6

    I'm going to be honest, i have no idea how to even start on the problem. Any help would be greatly appreciated.
  2. jcsd
  3. Dec 6, 2009 #2


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    Homework Helper

    v(t) = dx/dt = 9 - t^2.
    So dx = (9-t^2)*dt.
    Find the integration and equate it to zero. You will get t for which the displacement is zero.
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