There are critical speeds that every DP worth their day rate should know about. The combination of frame rate and motion can create stroboscopic effects in the video that the human brain cannot process. It has to do with retinal retention and processing speed. The only way to avoid the problem is to change the speed of the movement or change the frame rate. It's commonly called judder.
The easiest way to fix the problem is to set the speed of movement to precisely an even number of pixels per frame using an expression and also make sure you pick a speed that works for your frame rate. Even moving an even number of pixels per frame can cause problems if the combination of frame rate, movement, and refresh rate in your display is causing judder. There are a couple of articles in the FAQ section of this forum. They are very hard to find now so I'll post a link: FAQ: Why does horizontal motion stutter (judder)
You might also search the forum for judder and look at a few other posts. The higher the frame rate, the easier it is to overcome this problem.