#!/usr/bin/env python
import os,sys
from pprint import pprint
from math import sin, pi
import random


# ## Instructions (for reference):

# 1. Initialize the height of the particle to 100 meters.
h = 100

# 2. Use a while loop to simulate the motion of the particle until it hits the ground.
# 3. Inside the while loop, use an if-else statement to check if the particle has hit the ground.
# 4. Update the height of the particle using the equation of motion: h = hinitial − 1/2 * g * (t)2.
# 5. Print the height of the particle at each time step.
# 6. Use a for loop to iterate through the time steps.

# h = h - 1/2 * g * t^2

# 1. Initialize the height from which the particle is released.
t_step = float(input("Enter the time step in seconds: "))
h_current = float(input("Enter the height in meters: "))
h_initial = h_current

t_current =  0

while (h_current >= 0):
  # 4. Print the height of the particle at each time step until it hits the ground.
  print(f'Time: {t_current:.1f} s, Height: {h_current:.2f} m')

  # 2. Use a loop to update the position of the particle at each time step.
  t_current += t_step
  h_current = h_initial - (1/2 * 9.8 * (t_current**2))

  # 3. Use an if-else statement to check if the particle has hit the ground.
  if (h_current < 0):
    print(f'Time: {(t_current):.1f} s, Height: {0:.2f} m')
    print(f'has hit the ground')
    break