After this lesson, why not add the effects of air? It is nearly impossible
to do with pencil and paper, but very easy on the computer. Assume that air presents a deceleration on the ball
opposite to $v$ given by $a_{air}=Cv^2$, where $C$ is some drag constant like $0.1$.
To use this, we need to know the direction in which the ball is flying at any instant. This is given by
$\alpha=\tan^{-1}\frac{v_y}{v_x}$. If we know this flight angle, then the $x$ and $y$ deceleration components
will be $a_x=a_{air}\cos(\alpha+\pi)$ and $a_y=a_{air}\sin(\alpha+\pi)$. Let's put this in, given that $\tan^{-1}\left(\frac{a}{b}\right)$ is math.atan2(a,b).
Now you try. Try fixing $\theta$, $v$ lines.
Type your code here:
See your results here:
This code will not run. You need to fill in some launch angle $\theta$ in the theta= line and some launch speed
in the v= line. You can try experimenting with the drag constant, making it larger or smaller. You might make
it $0$ and run it again at $0.01$ to compare the ranges of the two (i.e. it should go farther with no air drag).
Dismiss.
Show a friend, family member, or teacher what you've done!
Here is a share link to your code:
Does your code work? Want to run it on your iPhone?
Here's your code:
Use [Control]-[C] (Windows) or [⌘]-[C] (MacOS) to copy your code.
Paste it using [Control]-[V] (Windows) or [⌘]-[V] (MacOS) into
this page
Then click the "Use on iPhone" button that you'll see.