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Math Help - Speed of object

  1. #1
    Newbie
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    Oct 2009
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    Speed of object

    How do I go about solving this question:

    Which parametrization shows that the object moves the FASTEST at t=0.

    Do I differentiate the parametrization and sub in 0 to all the values of t. Then what? For example
    :

    r'(t) = <2t,sin t, 5>
    r'(0) = <0,0,5>

    how do I compare parametrizations?
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  2. #2
    Senior Member Tinyboss's Avatar
    Joined
    Jul 2008
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    Yes. Compute the derivatives, evaluate at zero, choose the one with the largest magnitude.
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