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it has to do with the suns position relative to the earth. In the Southern Hemisphere, the sun is towards the north in winter and towards the south in summer. The suns relative proximity to the earth and your position influences the seasons and the length of the days through the seasons.

True, but this question is about rate of change, not just the day length. Day length goes from short to long and back again. Like the swing of a pendulum, it goes from one extreme to the other. The only way the days length can go from getting longer to getting shorter is that a some time it must pass through a point where it is doing neither, and that point is a solstice "which means "sun standstill. Close to that time it has to go slower, else it wouldn't reverse. And like a pendulum, when things are mid way, it is going fastest. "Equinox" means equal days and nights.

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