Bounty Ended with 50 reputation awarded by NeutronStar
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You're confusing many different things together, and I'll try to clarify and separate them to make the problem clear. The problem you're facing isn't a time reversal issue. It's lack of information. So let's go through this one by one.

  1. Classical physics is 100% symmetric in time. This is the concept of determinism. There's no doubt in that. The non-determinstic nature of Quantum Mechanics is what drove many scientists (like Einstein) crazy. This doesn't exist in classical mechanics.

  2. Quantum field theory isn't 100% symmetric in time. If CPT theorem holds (Charge conjugation with Space mirroring (parity) and Time reversal) in our universe, then time isn't reversible with the same physics. There's slight irreversibility in it. This was first discovered when Kaon decays have shown that they're CP violating (and they got the Nobel prize in 1980 for that).

  3. You have to understand that physics is modeling of the universe. It's not a full description of the universe (we hope we'll reach that level with a Grand Unified Theory). This means that we created the classical physics model (with newton's laws) to be 100% reversible in time. That's why we assign an accuracy with each model. Classical physics is only accurate to about 10^-6$10^{-6}$ relative accuracy. I don't know any mechanics classical mechanics experiment that could produce better accuracy than that.

  4. The reason why you can't reverse the collision is that you lost information during the collision. If you take into consideration the heat dissipated in the system and the forces that hold the constituents of your bodies and their motion, then you should be able to reverse everything with no problem at all. But what you're thinking about is ignore the information about energy and heat and deformation, and still be able to reverse the dynamics of the system. No doubt this is not realistic and doesn't work. Your model is simply incomplete.

I hope this makes the picture clear.

You're confusing many different things together, and I'll try to clarify and separate them to make the problem clear. The problem you're facing isn't a time reversal issue. It's lack of information. So let's go through this one by one.

  1. Classical physics is 100% symmetric in time. This is the concept of determinism. There's no doubt in that. The non-determinstic nature of Quantum Mechanics is what drove many scientists (like Einstein) crazy. This doesn't exist in classical mechanics.

  2. Quantum field theory isn't 100% symmetric in time. If CPT theorem holds (Charge conjugation with Space mirroring (parity) and Time reversal) in our universe, then time isn't reversible with the same physics. There's slight irreversibility in it. This was first discovered when Kaon decays have shown that they're CP violating (and they got the Nobel prize in 1980 for that).

  3. You have to understand that physics is modeling of the universe. It's not a full description of the universe (we hope we'll reach that level with a Grand Unified Theory). This means that we created the classical physics model (with newton's laws) to be 100% reversible in time. That's why we assign an accuracy with each model. Classical physics is only accurate to about 10^-6 relative accuracy. I don't know any mechanics classical experiment that could produce better accuracy than that.

  4. The reason why you can't reverse the collision is that you lost information during the collision. If you take into consideration the heat dissipated in the system and the forces that hold the constituents of your bodies and their motion, then you should be able to reverse everything with no problem at all. But what you're thinking about is ignore the information about energy and heat and deformation, and still be able to reverse the dynamics of the system. No doubt this is not realistic and doesn't work. Your model is simply incomplete.

I hope this makes the picture clear.

You're confusing many different things together, and I'll try to clarify and separate them to make the problem clear. The problem you're facing isn't a time reversal issue. It's lack of information. So let's go through this one by one.

  1. Classical physics is 100% symmetric in time. This is the concept of determinism. There's no doubt in that. The non-determinstic nature of Quantum Mechanics is what drove many scientists (like Einstein) crazy. This doesn't exist in classical mechanics.

  2. Quantum field theory isn't 100% symmetric in time. If CPT theorem holds (Charge conjugation with Space mirroring (parity) and Time reversal) in our universe, then time isn't reversible with the same physics. There's slight irreversibility in it. This was first discovered when Kaon decays have shown that they're CP violating (and they got the Nobel prize in 1980 for that).

  3. You have to understand that physics is modeling of the universe. It's not a full description of the universe (we hope we'll reach that level with a Grand Unified Theory). This means that we created the classical physics model (with newton's laws) to be 100% reversible in time. That's why we assign an accuracy with each model. Classical physics is only accurate to about $10^{-6}$ relative accuracy. I don't know any classical mechanics experiment that could produce better accuracy than that.

  4. The reason why you can't reverse the collision is that you lost information during the collision. If you take into consideration the heat dissipated in the system and the forces that hold the constituents of your bodies and their motion, then you should be able to reverse everything with no problem at all. But what you're thinking about is ignore the information about energy and heat and deformation, and still be able to reverse the dynamics of the system. No doubt this is not realistic and doesn't work. Your model is simply incomplete.

I hope this makes the picture clear.

1
source | link

You're confusing many different things together, and I'll try to clarify and separate them to make the problem clear. The problem you're facing isn't a time reversal issue. It's lack of information. So let's go through this one by one.

  1. Classical physics is 100% symmetric in time. This is the concept of determinism. There's no doubt in that. The non-determinstic nature of Quantum Mechanics is what drove many scientists (like Einstein) crazy. This doesn't exist in classical mechanics.

  2. Quantum field theory isn't 100% symmetric in time. If CPT theorem holds (Charge conjugation with Space mirroring (parity) and Time reversal) in our universe, then time isn't reversible with the same physics. There's slight irreversibility in it. This was first discovered when Kaon decays have shown that they're CP violating (and they got the Nobel prize in 1980 for that).

  3. You have to understand that physics is modeling of the universe. It's not a full description of the universe (we hope we'll reach that level with a Grand Unified Theory). This means that we created the classical physics model (with newton's laws) to be 100% reversible in time. That's why we assign an accuracy with each model. Classical physics is only accurate to about 10^-6 relative accuracy. I don't know any mechanics classical experiment that could produce better accuracy than that.

  4. The reason why you can't reverse the collision is that you lost information during the collision. If you take into consideration the heat dissipated in the system and the forces that hold the constituents of your bodies and their motion, then you should be able to reverse everything with no problem at all. But what you're thinking about is ignore the information about energy and heat and deformation, and still be able to reverse the dynamics of the system. No doubt this is not realistic and doesn't work. Your model is simply incomplete.

I hope this makes the picture clear.