could travel at, say, 45 MPH for a 25 foot boat ....
assuming adequate available horsepower.

**assuming** the 25 foot boat takes 1 hp to go 1 mph, then it would take 4 hp
to go 2 mph: 16 hp to go 4 mph; 64 hp to go 8 mph; 256 hp to go 16 mph; 1024 hp
to 32 mph; ~2000 hp to 45 mph.

note, this is the hp needed to overcome induced drag at greater speeds. note
also that there is no break point anywhere on the hp vs speed curve due to
"climbing the bow wave"

note-2, **if** a boat were REQUIRED "to climb the bow wave" rather than slice
through wave, the extra hp needed is only about 40% more at 2x hull speed than
is needed just to overcome induced drag. Even at 4x hull speed, the increase
due to the alleged requirement "to climb the bow wave" not huge compared the hp
needed to overcome induced drag.

In fact, **if** the boat were REQUIRED "to climb the bow wave" (it is not
required) the extra hp needed only starts to become truly substantial only when
boat speed starts to get VERY high, i.e. two or three or four orders of
magnitude (that's 100x, 1000x 10,000x) greater than hull speed.

it ain't "climbing the bow wave" that limits the speed of a boat.