A model solid propellant rocket has a mass of \(69.6 \mathrm{~g}\), of which \(12.5 \mathrm{~g}\) is fuel. The rocket produces \(5.75 \mathrm{~N}\) of thrust for a duration of \(1.7 \mathrm{~s}\). For these conditions, calculate the maximum speed and height attainable in the absence of air resistance. Plot the rocket speed and the distance traveled as functions of time.