Final answer:
Two weeks after the fall equinox, the sunset position will have shifted towards the southwest because the Sun's path in the sky shortens and moves southward as the Northern Hemisphere approaches winter.
Step-by-step explanation:
On about September 22, during the fall equinox, the Sun sets directly to the west. Two weeks later, as Earth continues its orbit around the Sun, the position of sunset shifts towards the southwest. This is because after the fall equinox, the Sun's path in the sky shortens, and sunsets (and sunrises) gradually move southward as the Northern Hemisphere tilts away from the Sun, approaching winter.
The Sun's apparent movement in the sky reflects Earth's orbit around the Sun and tilt on its axis. As days pass after the equinox, the length of daylight decreases, and the setting Sun appears further south of due west until it reaches its southernmost setting position during the winter solstice, generally around December 21.