It seems like all of these equations only have relevance after the entirety of the contact/collision is made.
But is Force a vector?
Can't an object fall with a force? = ma? This would require no contact to figure this out.
If a 5000 kg train is moving from 10 mph to 30 mph in 2 seconds, its force upon impact on a wall would approx be 50,000 Kg*m/hr/s. This Force is calculated before any contact is made. Why couldn't I have used this logic in the previous example about the train, where say, it would accelerate to a speed in the course of a year, reducing acceleration to almost nothing.