A wind turbine has a total height of 50m, with 3 equally spaced blades that are 16m in diameter.

1. Create equations modelling the height of points on the tips of blades One, Two and Three. Graph these three curves on one graph (you can use www.Desmos.com and share a screenshot. Make sure you adjust the x-axis and y-axis so that the graph is easy to read!).
2. Maintenance can only be done on the blades when the points on blades Two and Three are at the same height. Identify the rotation angles when this would occur as well as the height of the points at that time.
3. What is the height of the tip of Blade Two, when the tip of Blade Three is 1m below its maximum height?
4. On a particular day the blades are rotating at a rate of 60 per second. How fast are the tips of the blades travelling? If you wanted to throw a tennis ball through the blades and not be struck, how long is the gap of time between blades?