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If I'm bothering to go all the way to quintic, I'd expect it to be t³+3t³(1-t)+6t³(1-t)² so that the velocity, acceleration, and jerk are all continuous.
EDIT: If you want explicit formulas for the In and Out versions of Smooth(er)Step, you can find them in bevyengine/bevy#16957
https://en.wikipedia.org/wiki/Smoothstep
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