A rocket is launched from rest with a time-dependent acceleration $a(t) = (p - rt)$, where $p = 18.00 \text{ m/s}^2$, $r = 2.50 \text{ m/s}^3$, and $a(t) \ge 0$. Determine the maximum velocity $v_{max}$ of the rocket. $v_{max} = $ m/s
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