>> In other words, the speed of the oncoming solid car/object is immaterial.
Er, that's not actually true.
Assuming that both vehicles are of approximately the same mass, if both are going at the same speed, then both will experience the same deceleration as if they had run into a concrete wall. This is what the Mythbusters did.
If, on the other hand, one is going significantly faster than the other, then the slower one will be propelled backwards and will experience rather more deceleration than if it had hit a wall at its orginal speed, while the faster one will experience less than if it had a wall at it's original speed.
I suspect that the actual deceleration experienced by both would be that as if both were travelling at the average of the two speeds.
Secondly: "oncoming solid car/object". If the oncoming object were indeed solid, then again it gets nasty for the car. Its crumple zone is forced to accomodate both its momentum and that of the solid object, causing greater damage to the car.
This only works if both objects are of around the same mass, both are travelling at around the same speed and both are of similar construction.
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