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this interactive simulation plots the trajectory of a sphere an important thing to realize this is for a non-rotating sphere and rotation can have a docHub effect on the distance travel because it affects the drag but here weamp;#39;re just looking at a non-rotating sphere and weamp;#39;re looking at the effect of surface roughness so the four plots shown here correspond each to different surface roughness and actually different launch angle also just to demonstrate we can display multiple ones with different values the last one we displayed thatamp;#39;s the drag corresponding drag coefficient so you notice as a function of reynolds number has this unusual behavior and a minimum of drag is at a specific reynolds number the code for these graphs is the legend on the right side so the smooth surface for example is this trajectory so you can clear the plot and then start over again you can change the launch angle and you can change the velocity and this is a drop down menu for su
