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Math Help - velocity of a wave

  1. #1
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    velocity of a wave

    The velocity of a wave in deep water is V = K*sqrt(L/C+C/L) where K and C are known positive constants. What is the length of the wave that gives the minimum velocity?

    I'm not sure how to really start this one? All I can think is that we want the result of the square root to be as small as possible, right?

    Any tips greatly appreciated.
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  2. #2
    DBA
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    I am not sure, but isn't the velocity at its minimum when the acceleration (derivate of velocity) is zero?

    In this case you would differentiate V = K*sqrt(L/C+C/L) with respect to the length L (since C and K are constant)
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  3. #3
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    That does sound correct, thank you very much.
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