I am trying to come up with a rule of thumb/rough guide to determining the velocity of a person jumping from various heights into water - for example from the side of a ship.
Not being a natural mathematician I am having difficulties.
My own conclusions if my calculations are somewhere near accurate lead me to conclude from a height of 10 feet velocity at impact will be 10 knots
from 20 feet 20 knots
from 30 feet 30 knots
etc
etc
Go on shoot holes in my theory
Thanks
Mike
The velocity at impact increases in proportion to the square root of the height.Your example has it increasing linearly with the height.
From a height of ten feet, the impact velocity is
V = sqrt (2gH) = 25 ft/s = 17.3 miles/h = about 15 knots