Oh, at reentry.
There's no magical change of frame of reference or other weird stuff. The Apollo Command Module returns from its trip to the Moon. It moves in trajectory that makes it move at 11 km/s relative to Earth surface, while rotation of Earth near Equator makes the surface move at about 465.1 m/s, at poles - 0, in between - in between.
So how does the craft slow down from 11,000m/s to some 400m/s when it lands somewhere near Hawaii? Air drag. It plunges into the atmosphere at full speed, at a rather shallow angle, air gets compressed under the heatshield, heating immensely and creating huge plasma trails, and reducing the craft's horizontal speed, then, when safe, parachute opens, and the craft begins falling down, its "horizontal speed" bound (through the parachute) to local wind speed which is tightly bound to Earth's rotation speed.
If you look at suborbital flights, their landing sites are often quite close to launch sites - they don't magically gain or lose speed in horizontal direction when leaving the atmosphere and entering space - if you want to enter the orbit, instead of falling directly where you launched from, like in that ball example, you have to burn lots and lots of fuel in horizontal direction, to get the orbital speed, much higher than Earth rotation speed.