With artificial gravity, when you turn the vessel harshly will the subjects stay put, or will they fall to the lowest point?

I.e. when they turn the ship on wall-e
So me and my brother and his girlfriend are debating when they turn the ship on wall-e if, since there is,no gravity, and gravity on the ship is artificially the floor of the ship, should the people stay put, or should they fall towards the side of the ship?
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