A hoop is rolling without slipping along a horizontal surface with a forward speed of $5\mathrm{.}59$ m$/$s when it starts up a ramp that makes an angle of $20\mathrm{.}43\backslash$deg with the horizontal. What is the linear speed of the hoop after it has rolled $3\mathrm{.}17$ m up as measured along the surface of the ramp? Give your answer in m$/$s$.$