Air flows through a heating duct with a square cross-section with 6-inch sides at a speed of 4.9 ft/s. Just before reaching an outlet in the floor of a room, the duct widens to assume a square cross-section with sides equal to 15 inches. Compute the speed of the air flowing into the room (in ft/s), assuming that we can treat the air as an incompressible fluid.

The speed of the air flowing into the room is 4.9 ft/s. The speed of the air does not change as it passes through the duct, since we are assuming that the air is incompressible.