import numpy as np
from scipy.integrate import solve_ivp

def f(t,y):
    m, g = 1., 9.8
    dydt = np.zeros(4)
    ### START YOUR CODE HERE ###


    #### END YOUR CODE HERE ####
    return dydt

def flight_distance(theta, v0, k):
    distance = 0.
    ### START YOUR CODE HERE ###
    
    
    #### END YOUR CODE HERE ####
    return distance