To venkatParam. You are absolutely right.
q is flow rate, for example, m3/s.
Force can be expressed in various manners. For example kgf = 9.8 N = 9.8 kg.m/s2.
Thus, (kg/m3)(m3/s)(m/s) = kg.m/s2.
Dividing by 9.8 one gets kgf. I should have said that g is a constant = 9.8, and call it gc to distinguish it from the acceleration of gravity 9.8 m/s2.
Otherwise one gets kg which is a measure of mass, not a force.
Another way to express the perpendicular impact force would be [ρ]Av2. By dimensions:
(kg/m3)(m2)(m/s)2 = kg.m/s2, which has the dimensions of force, as given by mass times acceleration.