import numpy as np
import matplotlib.pyplot as plt

g = 9.80 #the Constant acceleration of an object close to the surface of the earth.
v0 = 700 #Initial velocity in meters per second.
x=[0]
y=[0]#the string keeping track of the position along the y axis starting with 0.
t=[0] # the string keeping track of the times measured in each time step starting with 0.
a=[g] #the string containing the different velocities in each step,velocity in the situation stays the same.

dt = 0.10 #the change in time between each value in the above strings

for i in range(0,5,5):
    angle=((i)+30)*(np.pi/180)
    vx=[v0*np.cos(angle)]
    vy=[v0*np.sin(angle)] #the string keeping track of the velocity.

    #the following loops statement appends values to all of the
    #following strings using the Euler method while the current y position is greater than or equal to 0.
    while y[-1] >= 0:
        x.append(x[-1]+vx[-1]*dt)
        vx.append(vx[-1])
        y.append(y[-1]+vy[-1]*dt)
        vy.append(vy[-1]-g*dt)
        t.append(t[-1]+dt)
        a.append(g)

    while i <= 25:
        plt.plot(x,y)
    x=[0]
    y=[0]#the string keeping track of the position along the y axis starting with 0.
    t=[0] # the string keeping track of the times measured in each time step starting with 0.
    a=[g] #the string containing the different velocities in each step,velocity in the situation stays the same.


plt.show()