Angle to hit a coordinate with a projectile

angle_to_hit_coords.py

#!/usr/bin/env python3

import math
import sys
def calculate_angle(velocity, x, y, gravity=9.8, high_angle=False):
    
    angles = []
    try:
        rad = math.atan( ( velocity**2 + math.sqrt(velocity**4 - gravity * (gravity*x**2 + 2*y*velocity**2) ) ) / (gravity * x) )
        angles.append(math.degrees(rad))
    except ValueError:
        pass

    try:
        rad = math.atan( ( velocity**2 - math.sqrt(velocity**4 - gravity * (gravity*x**2 + 2*y*velocity**2) ) ) / (gravity * x) )
        angles.append(math.degrees(rad))
    except ValueError:
        pass


    if len(angles) == 0:
        return None
    if high_angle:
        return max(angles)
    else:
        return min(angles)
    

if __name__ == "__main__":
    v = float(sys.argv[1])
    x =float(sys.argv[2])
    y = float(sys.argv[3])
    a = calculate_angle(v, x, y)
    if a is None:
        a = "Impossible to hit!!!"
    print("Angle: {} Velocity: {}m/s Distance: {}m Height: {}m".format(a, v, x, y))