What equation could I use for a graph similar to a damped sine graph, but whose local minimum changes at a different rate to its local maximum?

Asked Mar 11 '21 at 22:46

Active Mar 11 '21 at 23:36

Viewed 20 times

This graph represents the height of a yo-yo over time. I have been struggling to find a generic equation resembling this line shape. Is there an equation out there that, when graphed, would look something like this?

edited Mar 11 '21 at 23:36

asked Mar 11 '21 at 22:46

Jay Gee

1

A natural model would be a sequence of parabola of exponentially decreasing height. Same as a bouncing ball that loses a portion of its energy each time it hits the ground. – Milten Mar 11 '21 at 22:54
Maybe something along the lines of $e^{-\frac{x}{4}} \cos(x) + e^{-\frac{x}{4}} \sin(x)$ ? – Brendan Sullivan Mar 11 '21 at 23:38

What equation could I use for a graph similar to a damped sine graph, but whose local minimum changes at a different rate to its local maximum?

0 Answers0