A 46.0 {\rm kg} crate, starting from rest, is pulled across a floor with a constant horizontal force of 250 {\rm N}. For the first 11.5 {\rm m} the floor is frictionless, and for the next12.0 {\rm m} the coefficient of friction is 0.22. What is the final speed of the crate after being pulled these 23.5 {\rm m}?