One of the simplest ways to check an equation is to plug in the units and see if you get the result you want.
If we square velocity in Ft/sec we get feet squared over seconds squared. I like pounds for mass. 1hp=33,000 ft lbs/minute which we can convert to ft lbs per second by dividing by 60. That gives us units we can deal with.
But if we go through the math on the left side of your equation, we get ft/sec or velocity. We do not get time.
Jim
