At time t = 0, an aircraft is located at (x, y) = (3km, -1km) in a two-dimensional coordinate system. Its velocity is v = (-30m/s, 80m/s). a) Write down an expression for the position of the aircraft at later times, as x(t), y(t), and deter- mine the aircraft's speed. b) Determine r(t), the distance of the aircraft from the origin. How close does the aircraft get to the origin and at what position and time does this happen? c) Make a plot of the path of the aircraft during 1 minute of flight (from t = 0 to t = 1 minute). Mark the origin with a square symbol and use axis equal in Matlab. Note, when making plots, make sure to label your axes and specify units.