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A $\backslash (0\mathrm{.}535-\backslash$mathrm$\{$oz$\}\backslash )$ model rocket is launched vertically from rest at time $\backslash ($ t$=0\backslash )$ with a constant thrust of $0\mathrm{.}900$ lb for $0\mathrm{.}3$ s and no thrust for $\backslash ($ t$>0\mathrm{.}3\backslash$mathrm$\{$~s$\}\backslash ).$ Neglect air resistance and the decrease in mass of the rocket.

Determine the maximum height $\backslash ($ h $\backslash )$ reached by the rocket.

The maximum height reached by the rocket is

ft$.$