The speed of a sail-boat or other craft that does not plane is limited by the wave it makes – it can’t climb uphill over the front of the wave. What is the maximum speed you’d expect?
Hint: relevant quantities might be the length l of the boat, the density ρ of the water, and the gravitational acceleration g.
vboat = (L^X)(p^Y)(g^Z)

Question

The speed of a sail-boat or other craft that does not plane is limited by the wave it makes – it can’t climb uphill over the front of the wave. What is the maximum speed you’d expect?
Hint: relevant quantities might be the length l of the boat, the density ρ of the water, and the gravitational acceleration g.
vboat = (L^X)(p^Y)(g^Z)

anonymous · Answer

do the dimensional analysis:
$$[LT ^{-1}] = L ^{x-3y+z}M ^{y}T ^{-2z}$$

comparing the powers will give : 
x=1/2
y=0
z=1/2