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Math Help - Tangential and normal components

  1. #1
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    Tangential and normal components

    If r(t) = <t^2, 3t, e^t>, find the tangential and normal components of the acceleration vector.
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  2. #2
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    This is what I have so far

    a(t) = r"(t) = <2, 0, e^t>

    T = r'(t)/||r'|| = <2t,3,e^t>/(4t^2 + 9 + e^t^2) = ?

    Am I on the right track? My algebra is a rusty. Can I do anything with T.
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  3. #3
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    There was an error let me try this again.

     <br />
T = r'(t)/||r'|| = <2t,3,e^t>/(4t^2 + 9 + (e^t)^2)^(1/2)<br />

    So am I on the right track? How can i reduce T? The next step is to find N then do a dot T and a dot N correct?
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  4. #4
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    Anyone out there that can help please!
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