The table presents the coordinates of the position vector (x,y) in meters, of the foot of a ballet flat. This information was obtained from the analysis of a video. The data was recorded with a video capture rate (fps) of 24 frames per second. Each row corresponds to a captured instant.

Estimate the acceleration felt by the dancer's foot as she passes through position (1.4, 1.73) m, to three decimal places. Assume the radius of gyration is 1 m. Use the central finite difference method.

 

X(m) 1.48 1.58 1.64 1.63 1.59 1.49 1.40 1.28 1.16 1.06 Y(m) 0.44 0.67 0.91 1.14 1.37 1.57 1.73 1.85 1.93 1.98