On top of mountains, objects and the surrounding landscape appear to be stationary from your perspective, just as they do on the Earth's surface. The perception of motion or movement you might experience while looking at objects on mountains is not due to the speed at which you're moving under them, but rather to other factors.
One factor is the relative motion between you and the objects you're observing. As you move, even if it's at a relatively slow pace, the objects in your field of view appear to shift in relation to your position. This can create an illusion of movement.
Another factor is parallax. Parallax refers to the apparent displacement of objects when viewed from different angles. When you're at a higher elevation, your viewing angle of objects on the mountain changes compared to when you're at a lower elevation. This change in perspective can give the impression of movement.
Additionally, atmospheric conditions such as wind or fog can affect the visual perception of objects on mountains. The movement of clouds, mist, or other atmospheric elements can create an illusion of objects being in motion, even if they are relatively stationary.
It's worth noting that while the Earth is rotating, the rotational speed is relatively constant, so the movement of objects on mountains is not primarily due to the rotation of the Earth. Instead, the perceived motion is primarily a result of your own movement, changes in perspective, and atmospheric conditions.