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