Answer :
Final answer:
Despite the reduced pressure due to the increased height, the speed of the water at a faucet on a third floor will not be less than its ground-level counterpart. This is due to Bernoulli's principle in physics, allowing the speed to remain the same as at ground level.
Explanation:
The subject of this question is physics, specifically the concept of fluid dynamics and the impacts of gravity and pressure on fluid flow. Given that the speed of water shooting out from a ground-level faucet is observed to be approximately 20 m/s, one might initially think this speed would decrease as you move to a faucet on the third floor of a building, some 12 meters above ground level. As a matter of fact, it is the pressure that decreases as the water has to move uphill.
However, despite the reduced pressure, the speed of the water at the third-floor faucet will not be less than its ground-level counterpart. This is due to Bernoulli's principle, which describes how an increase in the speed of a fluid occurs simultaneously with a decrease in static pressure or a decrease in the fluid's potential energy.
In this case, the height of the water (potential energy) has increased but the pressure and the speed of the water has remained the same, both are equal to the atmospheric pressure once it comes out of the faucet. Therefore, judging by the information provided and knowledge of Bernoulli's principle, the correct answer to your question would be 3) The speed will remain the same.
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