P$3\mathrm{.}100$ Suppose that the solid$-$propellant rocket of Prob. P$3\mathrm{.}35$ is

built into a missile of diameter $70$ cm and length $4$ m $.$

The system weighs $1800$ N $,$ which includes $700$ N of

propellant. Neglect air drag. If the missile is fired verti$-$

cally from rest at sea level, estimate $(a)$ its velocity and

height at fuel burnout and $(b)$ the maximum height it will

attain.