An emergency braking parachute system on a military aircraft consists of a large parachute of diameter \(6 \mathrm{~m}\). If the airplane mass is \(8500 \mathrm{~kg}\), and it lands at \(400 \mathrm{~km} / \mathrm{hr}\), find the time and distance at which the airplane is slowed to \(100 \mathrm{~km} / \mathrm{hr}\) by the parachute alone. Plot the aircraft speed versus distance and versus time. What is the maximum "g-force" experienced? An engineer proposes that less space would be taken up by replacing the large parachute with three noninterfering parachutes each of diameter \(3.75 \mathrm{~m}\). What effect would this have on the time and distance to slow to \(100 \mathrm{~km} / \mathrm{hr}\) ?