# When Does a Sliding Ladder Lose Contact With the Wall?

11 min readDec 22, 2023

This started as a calculus problem. The question said that the top of a ladder moves down with some constant speed and asks about the speed of the contact point with the floor. You can see my solution here.

Of course my initial thought was not about derivatives of x and y, but instead I thought: I don’t think the top of a sliding ladder would move down with a constant…