Rope through hole

A rope of length \(\SI{90}{\centi\meter}\) lies in a straight line on a frictionless table, except for a very small piece at one end which hangs down through a hole in the table.

This piece is released, and the rope slides down through the hole. What is the speed \((\)in \(\text{m/s})\) of the rope (to 2 decimal places) at the instant it loses contact with the table?

Details: \(g = \SI[per-mode=symbol]{9.81}{\meter\per\second\squared}.\)

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