Do in MATLAB (Octave): In an experiment, a small steel ball is dropped and videoed against a checkered background. The video sequence is analyzed to determine the height of the ball as a function of time to give the data in the following table:

Time (seconds)	0.0300	0.0633	0.0967	0.1300	0.1633	0.1967	0.2300	0.2633	0.2967
Height (inches)	22.0	21.5	20.5	18.8	17.0	14.5	12.0	8.0	3.0

Using the fitting tools of MATLAB, find a polynomial fit that matches the data.

Based on theory, the experimental data should obey the following equation:

h=220.5gt²

where h is in inches, t is in seconds, and g=386.4 in/s².

Create a graph that compares the measured data with the fit values and the theoretical values; your graph should conform to good conventions for engineering graphics.

Plot the measured data using red points, the values based on the polynomial fit using a blue line, and the theoretical equation using a green line. Make sure to include a legend.