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Required information

A block weighing $2\mathrm{.}500$ kg is supported by a spring with a constant of $\backslash ($ k$=128\backslash$mathrm$\{$~N$\}/\backslash$mathrm$\{$m$\}\backslash )$ and a dashpot with a coefficient of viscous damping of $\backslash ($ c$=0\mathrm{.}6\backslash$mathrm$\{$~N$\}\backslash$cdot $\backslash$mathrm$\{$~s$\}/\backslash$mathrm$\{$m$\}\backslash ).$ The block is in equilibrium when it is struck from below by a hammer that imparts to the block an upward velocity of $\backslash (0\mathrm{.}4\backslash$mathrm$\{$~m$\}/\backslash$mathrm$\{$s$\}\backslash ).$

Determine the maximum upward displacement of the block from equilibrium after two cycles.

The maximum upward displacement is

$\backslash (\backslash$boldsymbol$\{*\}\backslash$mathrm$\{$mm$\}\backslash ).$