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The figure below shows that an airplane travels along a parabolic path of Y = KX² where k is a constant determined by the given airplane's position of (X,Y) = (3 km, 5 km). At the given position, the airplane has 220 m/s speed and 3 m/s² acceleration along its path. (a) Find the components of the airplane's velocity and acceleration in Path coordinates. (b) Draw the velocity and acceleration vector diagrams in the Path coordinates. Find the components of the airplane's velocity and acceleration in Polar coordinates using the graphical approach. (c) Find the components of the airplane's velocity and acceleration in the Polar coordinates using the coordinate transformation from the Path to Polar coordinates. Confirm that your answers in Part (b) is the same as the ones in Part (c). Y Y =kX² 3 km 5 km X