# Thread: velocity of a wave

1. ## 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.

2. 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)

3. That does sound correct, thank you very much.