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After being heated in a furnace, hot air flows through air ducts to each room in the house.

Which of the following most closely approximates what happens to the velocity of the air as all of it travels from a main air duct (located $3.3\text{ m}$ above the ground floor with a width of $40\text{ cm}$ and a height of $30\text{ cm}$) through a vent ($30\text{ cm}$ by $10\text{ cm}$) at the same height?


The velocity of the air doubles.


The velocity quadruples.


The velocity is cut in half.


The velocity is reduced to one-fourth of what it was in the main air duct.

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