The rotation of the Earth around its own axis is at a speed of 465 meters per second at the equator. The revolution of the Earth around the Sun is at a speed of 30 kilometers per second. The revolution of the solar system around the galactic center is at a speed of 220 kilometers per second. And the Milky Way is moving towards the Great Attractor at a speed of 552 kilometers per second.
So it seems the bigger the cosmic scale of the motion, the faster it goes. Is there a law of nature that makes this inevitable? I do have some understanding of Kepler’s laws, especially the second that makes a statement about the speed of an orbital motion as a function of the size of the orbit; but to my knowledge these laws only apply to different bodies orbiting the same central body, so I don’t think they would make statements about a series of different motions such as those above.