Explanation;why water falling from faucet becomes narrower proportionally with time elapsed. Please proof read
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The stream of water from faucet becomes narrower as it falls because the velocity of the water increases from acceleration due to gravity and that water also has to pass equal amount through the cross section at any given point in time. Due to the adhesiveness of water the water will draw a line that gradually decreases in the diameter (assuming a tube form) through which the water passing at any given point in time is the same despite ever decreasing diameter. To counteract this, the water will again more velocity assisted by acceleration due to gravity. This is the reason why water falling from faucet will become narrower and narrower yet the velocity at which that water is passing through imaginary cross section at any given point in time increases to hold the equation of continuity principle
*to hold the equation of continuity principle true