On Oct. 2, an moon will change constantly. So will the orbital speed of the moon. Put together, those factors mean the speed of the shadow will vary drastically.
This animated GIF shows the annular eclipse path arcing across the globe. (Image credit: Solar Eclipse Global Animation by Fred Espenak, eclipsewise.com, and Michael Zeiler, greatamericaneclipse.com)The event will begin as an eclipsed sunrise, peak at midday and end with an eclipsed sunset. The curvature of Earth makes a huge difference in the apparent speed of the moon's shadow across its surface, with the extremes of the path seeing by far the fastest speeds. After all, that's where the shadow strikes Earth at the most extreme tangent.