code: 
  
  
  
  
  
  
  """simple docstring"""
  
  
  
  
  
  
  from typing import TYPE_CHECKING
  
  from ...utils import (
      OptionalDependencyNotAvailable,
      _LazyModule,
      is_sentencepiece_available,
      is_tokenizers_available,
      is_torch_available,
  )
  
  
  A_			  =    {
      "configuration_open_llama": ["OPEN_LLAMA_PRETRAINED_CONFIG_ARCHIVE_MAP", "OpenLlamaConfig"],
  }
  
  try:
      if not is_sentencepiece_available():
          raise OptionalDependencyNotAvailable()
  except OptionalDependencyNotAvailable:
      pass
  else:
      A_			  =    ["LlamaTokenizer"]
  
  try:
      if not is_tokenizers_available():
          raise OptionalDependencyNotAvailable()
  except OptionalDependencyNotAvailable:
      pass
  else:
      A_			  =    ["LlamaTokenizerFast"]
  
  try:
      if not is_torch_available():
          raise OptionalDependencyNotAvailable()
  except OptionalDependencyNotAvailable:
      pass
  else:
      A_			  =    [
          "OpenLlamaForCausalLM",
          "OpenLlamaModel",
          "OpenLlamaPreTrainedModel",
          "OpenLlamaForSequenceClassification",
      ]
  
  
  if TYPE_CHECKING:
      from .configuration_open_llama import OPEN_LLAMA_PRETRAINED_CONFIG_ARCHIVE_MAP, OpenLlamaConfig
  
      try:
          if not is_sentencepiece_available():
              raise OptionalDependencyNotAvailable()
      except OptionalDependencyNotAvailable:
          pass
      else:
          from transformers import LlamaTokenizer
  
      try:
          if not is_tokenizers_available():
              raise OptionalDependencyNotAvailable()
      except OptionalDependencyNotAvailable:
          pass
      else:
          from transformers import LlamaTokenizerFast
  
      try:
          if not is_torch_available():
              raise OptionalDependencyNotAvailable()
      except OptionalDependencyNotAvailable:
          pass
      else:
          from .modeling_open_llama import (
              OpenLlamaForCausalLM,
              OpenLlamaForSequenceClassification,
              OpenLlamaModel,
              OpenLlamaPreTrainedModel,
          )
  
  
  else:
      import sys
  
      A_			  =    _LazyModule(__name__, globals()["__file__"], _import_structure, module_spec=__spec__)
  
style_context: 
  
  
  
  
  
  
  """simple docstring"""
  
  
  
  
  
  
  from math import radians as angle_to_radians
  from math import sin
  
  # Acceleration Constant on Earth (unit m/s^2)
  A_			  =    9.80665
  
  
  
  
  def 						_UpperCamelCase			(  A    ,       A			):
  
     # Ensure valid instance
     if not isinstance(A    ,       (int, float)			):
        raise TypeError("Invalid velocity. Should be a positive number."			)
  
     if not isinstance(A    ,       (int, float)			):
        raise TypeError("Invalid angle. Range is 1-90 degrees."			)
  
     # Ensure valid angle
     if angle > 90 or angle < 1:
        raise ValueError("Invalid angle. Range is 1-90 degrees."			)
  
     # Ensure valid velocity
     if init_velocity < 0:
        raise ValueError("Invalid velocity. Should be a positive number."			)
  
  
  
  
  def 						_UpperCamelCase			(  A    ,       A			):
     check_args(A    ,       A			)
     UpperCamelCase_     =angle_to_radians(2 * angle			)
     return round(init_velocity**2 * sin(A			) / g    ,       2			)
  
  
  
  
  def 						_UpperCamelCase			(  A    ,       A			):
     check_args(A    ,       A			)
     UpperCamelCase_     =angle_to_radians(A			)
     return round(init_velocity**2 * sin(A			) ** 2 / (2 * g)    ,       2			)
  
  
  
  
  def 						_UpperCamelCase			(  A    ,       A			):
     check_args(A    ,       A			)
     UpperCamelCase_     =angle_to_radians(A			)
     return round(2 * init_velocity * sin(A			) / g    ,       2			)
  
  
  
  
  def 						_UpperCamelCase			(  ):
     UpperCamelCase_    ,							UpperCamelCase_     =25, 20
     assert horizontal_distance(A    ,       A			) == 40.97
     assert max_height(A    ,       A			) == 3.73
     assert total_time(A    ,       A			) == 1.74
  
  
  if __name__ == "__main__":
      from doctest import testmod
  
      testmod()
  
      # Get input from user
      A_			  =    float(input("Initial Velocity: ").strip())
  
      # Get input from user
      A_			  =    float(input("angle: ").strip())
  
      # Print results
      print()
      print("Results: ")
      print(f'''Horizontal Distance: {horizontal_distance(init_vel, angle)!s} [m]''')
      print(f'''Maximum Height: {max_height(init_vel, angle)!s} [m]''')
      print(f'''Total Time: {total_time(init_vel, angle)!s} [s]''')
  