einsteen, I've corrected you on this before, and now it seems I must again.
"Inelastic" and "Elastic" are not opposite "extremities."
All collisions conserve momentum. All of them.
Some collisions conserve mechanical energy. These are called "elastic." These are in the minority. If any energy at all is converted into heat, causes deformation, etc., it makes the collision inelastic.
There is no such thing as a "semi-elastic" collision. It's called inelastic.
Greening's assumption is correct.
With extremities I wanted to say the amount of kinetic energy that is lost in the collision. Of course momentum is conserved as I said. And most practical collisions are inelastic, Greening's assumption is correct if you assume a real 100% perfect pancaking. Even this is not the more modern progressive collapse assumed.