Question

at the of a standing wave there is no displacement for the rest position

Answer 1

In the standing waves the nodes of the waves are at rest but the anti nodes are not at rest.

Answer 2

And the standing waves do not go anywhere... these are not travelling..

Answer 3

The nodes have zero displacement from the rest/equilibrium position, will the antinodes (the top of the crest of the wave) have maximum displacement from the rest/equilibrium