Projectile Target Calculator

from random import *
from math  import *
g= 9.8
y0 = 1.9
horizontalDistance = 20.0
hoopHeight = 3.05
startingV = 10
startingT = 30

class Projectile():
    
    def __init__(self,v0,theta):
            self.theta = theta
            self.v0 = v0
            self.error = self.getError(v0,theta)
            
    def getError(self,v0,theta):
       arrivalTime = horizontalDistance/(v0*cos(theta*pi/180))
       finalHeight = y0 + v0*sin(theta*pi/180)*arrivalTime-0.5*g*arrivalTime*arrivalTime
       return (finalHeight-hoopHeight)
    

class Projectiles():
    def __init__(self,N,startingV,startingT,endingV,endingT):
        self.N = N
        self.startingV = startingV
        self.startingT = startingT
        self.endingV = endingV
        self.endingT = endingT
        self.array = self.generate()
        self.ordered = self.array.sort(key=lambda x: abs(x.error))
                                       
    def generate(self):
        emptyArray = []
        
        for i in range(self.N):
            emptyArray.append(Projectile(uniform(self.startingV,self.endingV),uniform(self.startingT,self.endingT)))
        return emptyArray          

for j in range(15):
    startingV = 10
    startingT = 40
    endingV = startingV*2
    endingT = startingT*3
    error = 10
    changeError = 10
    while(abs(changeError)>0.0001):
        a = Projectiles(5000,startingV,startingT,endingV,endingT)
        startingV = a.array[0].v0
        startingT = a.array[0].theta
        endingT = a.array[20].theta
        endingV = a.array[20].v0
        changeError = error - a.array[0].error
        error = a.array[0].error
    #print("error: "+str(a.array[0].error) +", v0: " + str(a.array[0].v0) + ", theta:"+str(a.array[0].theta))
    print("Calc.setExpression({id:"+str(j)+",latex:'("+str(a.array[0].v0)+"*cos("+str(a.array[0].theta*pi/180)+")*t,"+str(y0)+"+"+str(a.array[0].v0)+"*sin("+str(a.array[0].theta*pi/180)+")*t-4.9*t^2)'})")