A spring with a spring constant of $495$ N$/$m is used to propel a $0\mathrm{.}313-$kg mass up an inclined plane. The spring is compressed $31\mathrm{.}9$ cm from its equilibrium position and launches the mass from rest across a horizontal surface and onto the plane. The plane has a length of $4\mathrm{.}00$ m and is inclined at $30\mathrm{.}0.$ Both the plane and the horizontal surface have a coefficient of kinetic friction with the mass of $0\mathrm{.}311.$ When the spring is compressed, the mass is $1\mathrm{.}50$ m from the bottom of the plane.

a$)$ What is the speed of the mass as it reaches the bottom of the plane?