is it possible particle at x=0 still be moving?

Question

anonymous · Answer

of course! it can move! vertically. either upward or downward even if x=0. the value of its y is the one that is changing

theeric · Answer

True! And that's the highlight for movement while the particle stays at $x=0$. Another point is that it can go from $-x$ to $+x$ (some negative $x$ and some positive $x$), and be moving when it hits $x=0$, right? Mathematically,  you might say it takes two points to have movement... But if they're infinitely close to $x=0$, it's similar!

Overall, definitely yes. Reference @fab_camie 's post for surely good reasons!