Calculus I

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  • E2P21
  • April 2, 2013 at 2:55 am #13238

    Ezra Halleck
    Participant

    The figure shows the graph of the distance covered by a particle in meters, versus the time elapsed in microseconds. True or False:
    a. Starting at time t=0, the particle always travels in one direction.
    b. The particle’s velocity is maximal when .
    c. The particle’s velocity is negative for more than one microsecond.
    If True, explain why. If false, provide a similar statement that is true.

    This problem tests whether you can give information about the velocity and direction of travel from the position graph.

    April 15, 2013 at 3:41 am #16869

    Ezra Halleck
    Participant

    a. false, from t=1.5 to t=3, particle is traveling in negative direction
    b. false, the particle’s velocity is 0 at t=1.5 (hor tangent line).
    c. true, as explained in a. the particle’s velocity is negative from t=1.5 to t=3 which is 1.5 microseconds.

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