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`.

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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