Problem $2$: The $25-$ lb block has an initial speed of $\backslash ($ v$\_\{0\}\backslash )$ when it is midway between springs $\backslash ($ A $\backslash )$ and $\backslash ($ B $\backslash ).$ After striking spring $\backslash ($ B $\backslash ),$ it rebounds and slides across the horizontal plane toward spring $\backslash ($ A $\backslash )$ and compresses spring $\backslash ($ A $\backslash )$ by $0\mathrm{.}25$ ft $.$ If the coefficient of kinetic friction between the plane and the block is $\backslash (\backslash$mu$\_\{$k$\}=0\mathrm{.}4\backslash ),$ determine the velocity $\backslash ($ v$\_\{0\}\backslash ).$ For more information, please refer to Figure $2.$

Figure $2$: Problem $2.$ need asap