Physics

Problem

A water tank has a hole on its side at a height

y

above the ground. The water level in the tank is maintained at a constant height

H

above the ground. Show that the horizontal range

R

is given by

R^{2} = 4y(H-y)

and determine the value of

y

for which the jet lands at a horizontal distance equal to its vertical drop? (Assume the stream launches horizontally).