Two blocks, A and B$,$ are initially held together by a string as shown in the figure; the mass of block A is of $2$ kg and the mass of block $\backslash ($ B $\backslash )$ is $10$ kg $.$ The massless spring in$-$between the two blocks has a spring constant of $\backslash (\backslash$mathrm$\{$k$\}=655\backslash$mathrm$\{$~N$\}/\backslash$mathrm$\{$m$\}\backslash )$ and is initially compressed by $45$ cm $.$ The two blocks are initially moving together with a speed of $\backslash (1\mathrm{.}0\backslash$mathrm$\{$~m$\}/\backslash$mathrm$\{$s$\}\backslash ).$ When the string is cut $($i$.$e$.,$ when the blocks are released$),$ the spring expands and pushes the two blocks apart. What is the speed $($in $\backslash (\backslash$mathrm$\{$m$\}/\backslash$mathrm$\{$s$\}\backslash ))$ of the block A$?$ You may assume that the surface is horizontal and frictionless. HINT: As shown in the figure, $\backslash (\backslash$mathrm$\{$v$\}\_\{\backslash$mathrm$\{$A$\}\}\backslash )$ and v must be in opposite directions $($i$.$e$.,$ have opposite sign$).$

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