$($UPDATED$)$

NOTE: Round off answer up to $5$ decimal places. Answer should be in meter. Encode only the numerical value.

A $9\mathrm{.}2kg$ block of wood resting on a platform was hit by a $0\mathrm{.}02kg$ of bullet travelling upward with a speed of $1466\frac{m}{s}.$ The bullet emerges from the block with a speed of $362\frac{m}{s}.$ What is the height reached by the block relative to its initial position? Use $g=9\mathrm{.}8\frac{m}{s^2}.$

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