Using Scientific Notebook, we can model the motion from the data points obtained by observing the position of the ball at various times.

Using one of the Statistics tools in Scientific Notebook (Fit Curve to Data), we obtain:

y = -0.51429 + 2.804x - 0.15013x²

We can use this to find where the ball will be at any time during the motion. For example, when t = 2.5, the golf ball will have height 5.6 m. Also, we can predict when it will next bounce (at around time 18.5), by solving for y = 0.

Using Excel to Model Curves

You can also use Microsoft Excel to module a parabola. After you plot the points, right-click on one of the points and choose "Add Trendline".

Choose Polynomial, degree 2. In "Options" you can get Excel to display the equation of the parabola on the chart.