From speed of light, time of flight of light from sun to earth, the orbital speed of earth around sun comes out to be ~33 km/s. You can adjust the speed of light and its TOF to get a more confirming value. (~30 km/s)
For earth’s spin at equator we expect a speed ~0.5 km/s. One can obtain this from earth’s radii and it’s 24 hr motion around itself. Calculate and give me a snippet ..