If a ball is dropped vertically from a height of $h_1$, after it bounces, it will reach a height that is less than $h_1$, depending on the coefficient of restitution, $e$, $(0<e<1)$. This bounce can be plotted on a graph with time as the x axis.
$y(t)= h+v_yt-4.9t^2$
The equation above is a parabola that represents the motion of the object under constant acceleration.
Assuming that the ball starts from a specific height with $e=0.85$, how can I approach creating the next parabola that can model the bounce of the ball?
I have tried Googling this issue, but it mostly results in game design/coding which is hard to understand.