A hoop is rolling without slipping along a horizontal surface with a forward speed of $6\mathrm{.}78$ m$/$s when it starts up a ramp that makes an angle of $16\mathrm{.}14\backslash$deg with the horizontal. What is the linear speed of the hoop after it has rolled $3\mathrm{.}09$ m up as measured along the surface of the ramp? Give your answer in m$/$s