A $2\mathrm{.}6$ kg block slides along a rough horizontal surface and slows to $10\mathrm{.}9$ m$/$s after traveling $25\mathrm{.}8$ m$.$ If the kinetic coefficient of friction between the block and surface is $0\mathrm{.}1,$ what is the initial speed $($m$/$s$)$ of the block? Calculate your final answer in one decimal place. Given that g $=9\mathrm{.}81$ m$/$s$2.$

Hint: T$2+$U$2=$T$1+$U$1+$W$1$~$2$

W$1$~$2=-$Fx