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Math Help - Integrating acceleration to find velocity

  1. #1
    Newbie dest's Avatar
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    Integrating acceleration to find velocity

    I'm not sure where I'm going wrong here. I'm given a particle's acceleration as a function of t, an initial velocity, and an initial position:



    I have to find the particle's velocity v(t) so I integrated each component and added the initial velocity:

    v(t) =

    For some reason this is being marked wrong by the homework site. Can you tell me why? Am I not integrating correctly or adding the initial velocity incorrectly or something. Thanks very much for any help.
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  2. #2
    MHF Contributor
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    You did the integrals correctly. I think the problem is with the condition v(0)=i. You added 1 to the i component but notice that the j component is -cos(t), and -cos(0)=-1. You need the j and k vectors to have a 0 coefficient when t=0.
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  3. #3
    Newbie dest's Avatar
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    Ahhh. You were right. That makes complete sense to me. It works now too. Thanks again for your help.

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