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=== Hull speed and beyond === [[Hull speed]] is the speed at which the wavelength of a vessel's [[bow wave]] is equal to its [[waterline length]] and is proportional to the square root of the vessel's length at the waterline. Applying more power does not significantly increase the speed of a [[Displacement hull|displacement vessel]] beyond hull speed. This is because the vessel is climbing up an increasingly steep bow wave with the addition of power without the wave propagating forward faster.<ref name=:1 /> Planing and foiling vessels are not limited by hull speed, as they rise out of the water without building a bow wave with the application of power. Long narrow hulls, such as those of catamarans, surpass hull speed by [[Wave-piercing hull|piercing]] through the bow wave. Hull speed does not apply to sailing craft on ice runners or wheels because they do not displace water.<ref name=":2">{{Cite book|last=Bethwaite|first=Frank|url=https://books.google.com/books?id=WTRLAAAAQBAJ&q=faster+than+the+wind|title=Higher Performance Sailing: Faster Handling Techniques|date=4 August 2013|publisher=A&C Black|isbn=978-1-4729-0130-9|language=en}}</ref>
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