The illustration for this problem is at ds055uzetaobb<dot>cloudfront<dot>net/image_optimizer/142fdba0bc53bb9ae12ecea6de058f57fef01274.png

A rope of length 90cm 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 m/s of the rope (to 2 decimal places) at the instant it loses contact with the table?

Details: g=-9.81 m/s²