Question

deeper the hole in the vessel wall,farther the water travels as it leaves the hole and comes out of the vessel.do you agree?how

Answer 1

Say you have a bottle of water filled up to a height HH. A small hole is drilled in its side at a height dd, so that water squirts out. The squirting water travels in an arc as it falls, covering some horizontal distance SS away from the bottle before it hits the table top that the bottle sits on. Multi-part question to try to understand this completely:

At what height dd should the hole be placed so that its horizontal travel distance SS is maximized?

Will SS or the optimum value of dd depend on the hole diameter?

Does the answer change if you assume that the hole presents zero impedance to the water flow? This might not make sense to ask, or it might be equivalent to asking what happens in the limit of a very large-sized hole (see #2). Not sure.