First we get a set of data points from observing the height of the ball at various times (from the graph):

t 0 2 4 6 8 10 12 14 16
h 0.2 4.3 8.2 10.9 12.3 12.5 11.6 9.5 6.0

Using Scientific Notebook, we can model the motion from the data points.

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

`y = -0.51429 + 2.804x - 0.15013x^2`

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.

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