Is it because the treadmill itself is stationery?
In: Physics
Your body is stationary relative to the room so your momentum relative to it is zero. So if the treadmill stop and you stop you lege you will remain in placee.
Your legs do move back and forward but the motion of one backward is approximately zero.
You can compare it to if you had a stick on the end of a rope and was hanging from it. Swing your legs back and forward and stop and you will most star to move. or at least to any significant degree.
If you would continue to run when it stops you would accelerate forward but you will likely no to that
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