Finding the correct formula for the speed of waves in shallow water

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lostpersson
Question: The speed of waves in shallow water depends only on the acceleration due to gravity (g) and the water depth (h). Which of the following formulas describes the speed of the wave?
a) (1/2)gh^2
b) gh
c) h/g
d)(gh)^(1/2)

Attempt:

Change in V = at
t= ΔV/a

Δx=vt+(1/2)at2
Δx = vt+(1/2)(v/a)
Δx = v[t+1/(2a)]
aΔx = V2 + V

Not sure if my calculations are correct, and if they are, I'm stuck here.
 
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