This is an interesting paradox you found. If you take physics, you will learn that the dz/dt is a velocity vector composed of the speed in the x direction and the y direction. Because the speed in the x direction, or dx/dt is 0, only the speed in the y direction is affecting the dz/dt. The reason dz/dt is less than dz/dy is because the angle where the person is standing is constantly decreasing. I recommend you animate this situation is Desmos so you can see that the dz/dt must be smaller to account for the decreasing angle so that the dx/dt can remain constant.
This is an interesting paradox you found. If you take physics, you will learn that the dz/dt is a velocity vector composed of the speed in the x direction and the y direction. Because the speed in the x direction, or dx/dt is 0, only the speed in the y direction is affecting the dz/dt. The reason dz/dt is less than dz/dy is because the angle where the person is standing is constantly decreasing. I recommend you animate this situation is Desmos so you can see that the dz/dt must be smaller to account for the decreasing angle so that the dx/dt can remain constant.
First?
my auntie was here first actually