A gutter is tilted from an angle of $\theta$ with respect to earth. There is a hole on the gutter from a distance of $l$ (m) from the top of a gutter. What is the speed of the water that should flow above the hole so that water will not drop down from the hole. (Assume speed of the water stream in the gutter at the top is zero).
I can't identify the forces and principle behind this phenomenon to derive an relationship. I need to derive an equation. Variables that may affect are $\theta$, $l$, $r$ (radius of the hole), pressure difference (Bernoulli) etc. Can someone please help me to understand how water would not fall down and to derive an equation?