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Problem $12\mathrm{.}006-$ Launch of a rocket model

A $0\mathrm{.}515-oz$ model rocket is launched vertically from rest at time $t=0$ with a constant thrust of $0\mathrm{.}900$ lb for $0\mathrm{.}3$ s and no

thrust for $t>0\mathrm{.}3s.$ Neglect air resistance and the decrease in mass of the rocket.

Problem $12\mathrm{.}006.$b $-$ Time taken by the rocket

Determine the time required to reach this maximum height. $($Round the final answer to three decimal places.$)$

The time required to reach this maximum height is

Determine the maximum height $h$ reached by the rocket.

The maximum height reached by the rocket is

ft $.$