Can you the Describe the motion of the Big Dipper and Ciopeia around Polaris for observers in?

Because of Earth's west to east rotation, celestial objects in the sky seem to move from east to west. It's important to understand that those objects aren't really moving but merely look like they are because we're moving the other way relative to them. The constellations, including Ciopeia, follow this rule. However, if you could run a pole through Earth's center of rotation you'd find that the northern end of the pole points almost directly at Polaris, therefore its apparent motion is very slight.