>>1673831How far it'd sink in depends mostly on the snow, not the poop itself. I imagine most of the snow in the antarctic to be very icy and rather dense, so it probably wouldn't sink in at all. Except when there's fresh snow, then I'd except some sinking, maybe through the feshet layer, perhaps even by melting som of it too. I don't think it would be warm enough to mud up the surroundning snow, but this probably depends more on the consistency of the poop. At -3 °C, which is around midday as OP said in one of his replies, it should take some time, especially if the poop is freshly out. I think it would be steaming a bit, this depends mostly on the liquidity of your poo though; the temperature difference would be enough I am sure. Now that last question, how far you could fling it in one sweep of the shovel, that depends just on you and a little bit on the mass of your poop. If you do it right and pick it up to really use your whole body in that throw I can see how it'd fly around a hundred meters.
I made a graphic showing the technique I think is most useful for a shovel throw.
