Completed a Heatmap and collected some data on the programs speed. The heatmap creates a grid of 50 x 50,angle x speed, and represents them using different colours to make it more easier to spot patterns. At each grid, there is one combination of speed and angle. E.g. 50m/s at 12 degrees, the colour shows the projectile range output from these inputs. Yellow represents long range,(as seen on the right of the image). We can clearly see the region at which the range is maximised( range grows with speed). Since drag is also involved in this, we can see that every speed has a omptimised angle which gives it the max range. IF this were to have no drag, all speeds would be optimised at 45 degrees.

I also plotted a graph of optimal angle and speed, whichs hows which angle gives the maximised range at a certain speed. The graph shows that as speed increases, drag increases and so the optimum angle moves away from 45 degrees(the optimum with no drag). Its not a smooth curve due to background noise due to tolerance not being exact.

The final table shows some tests i did which recorded the time the heatmap took to plot, there were few anomolies such as 50x50 one, which doubled from its First try ~60s. This is mainly due to background variance, such as other softwares running on my pc, which are using my cpu.