sqrt(2*32*1)
This demonstrates why the 8 is a “constant” in this “unit form” equation. This means that at a height of 1 foot (measured from the exit orifice to the top of the water) water will have a velocity of 8 feet per second.
To find the height at which the velocity will equal 16 feet per second. Rearrange to solve for v=16.---- 16/8 = sqrt(h).----> (16/8)
2 =h
(16/8)^2
Keep in mind that as the water drains, the velocity will change (diminish) as the water drains.
The full Bernoulli equations take in to consideration the energy losses through orifices, pipes, and the viscosity, temperature, and motion of the liquid (water in this case), all of which have an effect on the actual flow rate.
~~D~~