For those of you that use Python, I have made a disk simulator using physics from a 2008 paper on the physics of frisbees. It takes the angle of the shooter, the height, the speed, and calculates the path of the disk. It then graphs it for better understanding.

Here is the code:

```
import math
import matplotlib.pyplot as plt
from matplotlib.pyplot import figure
class Frisbee():
def __init__(self,g,m,dens,area,a0lift,a_lift,a0drag,a_drag):
self.g=g
self.mass=m
self.density=dens
self.area=area
self.a0_lift=a0lift
self.a_lift=a_lift
self.a0_drag=a0drag
self.a_drag=a_drag
self.alpha0=-4
def simulate(self,x_start,y_start,velocity,a,interval):
a-=10
xvelocity=velocity*math.cos(math.radians(a))
yvelocity=velocity*math.sin(math.radians(a))
xvelocity=xvelocity
yvelocity=yvelocity
angle=math.radians(a)
cl=self.a0_lift+self.a_lift*angle*math.pi/180
cd=self.a0_drag+self.a_drag*(angle*self.alpha0*math.pi/180)**2
x=x_start
y=y_start
spread=[]
k=0
while y>0:
deltavy=(self.density*(xvelocity**2)*self.area*cl/2/self.mass+self.g)*interval
deltavx=(-self.density*(xvelocity**2)*self.area*cd*interval)
xvelocity+=deltavx
yvelocity+=deltavy
x+=xvelocity*interval
y+=yvelocity*interval
if k%5==0:
spread.append([round(x,2),round(y,2),round(k*interval,2)])
k+=1
return spread
frisbee=Frisbee(-9.81,0.065,1.1,0.016,0.1,1.4,0.08,2.72)
print("Starting velocity for 600 RPM flywheel is about 4 m/s")
print("Starting velocity for 1400 RPM flywheel is about 6 m/s")
points=frisbee.simulate(0,float(input("starting height: ")),float(input("starting velocity: ")),float(input("starting angle: ")),float(input("time interval: ")))
x=[]
y=[]
t=[]
for i in range(len(points)):
x.append(points[i][0])
y.append(points[i][1])
t.append(points[i][2])
fig=plt.figure()
figure(figsize=(12, 6), dpi=80)
ax=plt.axes()
ax.set_ylim([0,2])
ax.set_xlim([0,6])
for i in range(len(x)):
plt.plot(x,y)
plt.show()
print("Minimum height to get into goal is ~0.75 m")
print("Matixmum height is about 1 m")
print("All units are in SI standard.")
#ax.scatter(x,y)
```

Unfortunately, I donâ€™t know how to make websites, so it might take a bit of work to set up, but feel free to modify it and make it better.