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Math Help - [SOLVED] find velocity of velocity vecotor and simplfy

  1. #1
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    [SOLVED] find velocity of velocity vecotor and simplfy

    I know what to do - its doing it that is the probelm:

    v(t) = < 2^(.5) , e^t , -e^(-t) >

    so all you do is square each term and then take the square root of that whole thing: (here is what i got)

    |v(t)| = [2 + e^(2t) + e^(-2t)]^.5 but from here i cannot simplify further which my book does...I think i need to find a perfect square but cannot see how. any explanation would be great.

    Thanks!

    edit* the book's answer is: e^(t) + e^(-t)
    Last edited by snaes; September 21st 2009 at 01:44 PM. Reason: show book's answer...
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  2. #2
    MHF Contributor Calculus26's Avatar
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    Multiply out

    [e^t +e^(-t)]^2

    and what do you get?
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  3. #3
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    e^(2t) + 2 + e^(-2t)
    Ahh it was looking at me the whole time. I didnt realize that the middle terms when expanding would be 1's...Thanks!
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