A $0.5\mathrm{ }\mathrm{k}\mathrm{g}$ block slides from $A$ on horizontal track with an initial speed of $3\mathrm{ }{\mathrm{m }\mathrm{s}}^{–1}$ towards a weightless horizontal spring of length $\mathrm{1 }\mathrm{m}$ and force constant $2\mathrm{ }{\mathrm{N }\mathrm{m}}^{–1}$. The part $AB$ of the track is frictionless and the part $BC$ has the coefficient of static and kinetic friction as $0.22$ and $0.20$ respectively. If the distance $AB$ and $BD$ are $2\mathrm{ m}$ and $\mathrm{2.14\; m }$respectively, the total distance through which the block moves before it comes to rest completely is -