# Python code to solve equations of motion (equations horaires)

# Function to solve all types of motion equations
def solve_equation_horaire(initial_position, initial_velocity, acceleration, time):
    # Position as a function of time
    position = initial_position + initial_velocity * time + 0.5 * acceleration * time ** 2

    # Velocity as a function of time
    velocity = initial_velocity + acceleration * time

    return position, velocity

# Example usage
# Inputs
initial_position = 0.0  # initial position in meters
initial_velocity = 5.0  # initial velocity in m/s
acceleration = 2.0  # acceleration in m/s^2
time = 3.0  # time in seconds

# Solve equations of motion
position, velocity = solve_equation_horaire(initial_position, initial_velocity, acceleration, time)

# Output results
print("Position after", time, "seconds:", position, "m")
print("Velocity after", time, "seconds:", velocity, "m/s")