I understand that, in the context of the Schwarzschild spacetime (General Relativity), a radially inward falling observer follows a time-like geodesic with zero four-acceleration. There are no forces acting on this observer and he is thus in free fall. In addition, the (Schwarzschild) coordinate acceleration is nonzero, but this is interpreted as a result of a fictitious force (i.e. the gravitational "force").
If the Earth is at rest, how does general relativity explain the fact that the impact force (when the observer hits the ground) depends on the initial radial distance, even though the observer would have a zero four-acceleration regardless of how large the radial distance is?
If I resort to the equivalence principle, then I see why a free falling observer getting hit by an accelerating mass would result in an impact force that depends on the radial distance from the observer to the accelerating mass (a rocket, for example). The further away the observer, the more momentum is built up before impact, but in this case the mass is actually accelerating while the Earth is at rest.