Water falls from a tap, down the streamline

Water falls from a top down the streamline,

If water falls from a tap, then the volume rate of flow of water at depth of h, ( A_0 is the area of cross-section of the mouth and A_0/2 is the corresponding area at depth h)

If water falls from a tap, then the volume rate of flow of water at depth of h, ( A_0 is the area of cross-section of the mouth and A_0/2 is the corresponding area at depth h)

Water drops fall from a tap on the floor 5 m below at regular intervals of time, the first drop striking the floor when the fifth drop begins to fall. The height at which the third drop will be, from ground, at that instant when first drop strikes the ground, will be, (taking g = 10 ms^(-2))

Water drops fall from a tap on to the floor 5.0 m below at regular intervals of time. The first drop strikes the floor when the fifth drops beings to fall. The height at which the third drop will be from ground at the instant when the first drop strikes the ground is (take =g=10 m^(-2) )

Water drops fall from a tap on to the floor 5.0 m below at regular intervals of time. The first drop strikes the floor when the fifth drops beings to fall. The height at which the third drop will be from ground at the instant when the first drop strikes the ground is (take g=10 m^(-2) )

During fall of water gently from a water-tap the stream gets thinner at the bottom. Why?

Water falls from a tap with A_(0)=4 m^(2) , A=1 m^(2) and h=2 m, then velocity v is