physics.horizontal_projectile_motion

Horizontal Projectile Motion problem in physics.

This algorithm solves a specific problem in which the motion starts from the ground as can be seen below:

      (v = 0)
               *  *
           *          *
        *                *
      *                    *
    *                        *
   *                          *
GROUND                      GROUND

For more info: https://en.wikipedia.org/wiki/Projectile_motion

Attributes

g
init_vel

Functions

check_args(→ None)	Check that the arguments are valid
horizontal_distance(→ float)	Returns the horizontal distance that the object cover
max_height(→ float)	Returns the maximum height that the object reach
test_motion(→ None)	Test motion
total_time(→ float)	Returns total time of the motion

Module Contents

physics.horizontal_projectile_motion.check_args(init_velocity: float, angle: float) → None

Check that the arguments are valid

physics.horizontal_projectile_motion.horizontal_distance(init_velocity: float, angle: float) → float

Returns the horizontal distance that the object cover

Formula:

\[ \begin{align}\begin{aligned}\frac{v_0^2 \cdot \sin(2 \alpha)}{g}\\v_0 - \text{initial velocity}\\\alpha - \text{angle}\end{aligned}\end{align} \]

>>> horizontal_distance(30, 45)
91.77
>>> horizontal_distance(100, 78)
414.76
>>> horizontal_distance(-1, 20)
Traceback (most recent call last):
    ...
ValueError: Invalid velocity. Should be a positive number.
>>> horizontal_distance(30, -20)
Traceback (most recent call last):
    ...
ValueError: Invalid angle. Range is 1-90 degrees.

physics.horizontal_projectile_motion.max_height(init_velocity: float, angle: float) → float

Returns the maximum height that the object reach

Formula:

\[ \begin{align}\begin{aligned}\frac{v_0^2 \cdot \sin^2 (\alpha)}{2 g}\\v_0 - \text{initial velocity}\\\alpha - \text{angle}\end{aligned}\end{align} \]

>>> max_height(30, 45)
22.94
>>> max_height(100, 78)
487.82
>>> max_height("a", 20)
Traceback (most recent call last):
    ...
TypeError: Invalid velocity. Should be a positive number.
>>> horizontal_distance(30, "b")
Traceback (most recent call last):
    ...
TypeError: Invalid angle. Range is 1-90 degrees.

physics.horizontal_projectile_motion.test_motion() → None

Test motion

>>> test_motion()

physics.horizontal_projectile_motion.total_time(init_velocity: float, angle: float) → float

Returns total time of the motion

Formula:

\[ \begin{align}\begin{aligned}\frac{2 v_0 \cdot \sin (\alpha)}{g}\\v_0 - \text{initial velocity}\\\alpha - \text{angle}\end{aligned}\end{align} \]

>>> total_time(30, 45)
4.33
>>> total_time(100, 78)
19.95
>>> total_time(-10, 40)
Traceback (most recent call last):
    ...
ValueError: Invalid velocity. Should be a positive number.
>>> total_time(30, "b")
Traceback (most recent call last):
    ...
TypeError: Invalid angle. Range is 1-90 degrees.

physics.horizontal_projectile_motion.g = 9.80665

physics.horizontal_projectile_motion.init_vel