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

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?

A

The velocity of the air doubles.

B

The velocity quadruples.

C

The velocity is cut in half.

D

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

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