in transverse wave (traveling pulse) when a particle move down it has maximum velocity at equilibrium point , why it stop suddenly at this point?
explain about single pulse,I can appreciate how it may look as if the string stops. But you would need to see exactly how the single pulse is formed and how it's actually driven.
I it may be that your OP is based on what you have learned about continuous waves ( even just simple sine waves) where the maximum speed is at the zero crossing. Things are different for single pulses.