As a design engineer you are asked to design an emergency braking parachute system for use with a military aircraft of mass \(9500 \mathrm{~kg}\). The plane lands at \(350 \mathrm{~km} / \mathrm{hr}\), and the parachute system alone must slow the airplane to \(100 \mathrm{~km} / \mathrm{hr}\) in less than \(1200 \mathrm{~m}\). Find the minimum diameter required for a single parachute, and for three noninterfering parachutes. Plot the airplane speed versus distance and versus time. What is the maximum "g-force" experienced?