there are many factors to consider.

You can't just take into account psi; psi deals with pressure, and not damage.

You would need to figure out the kinetic energy of the ball and the punch first.

the ball has much more velocity, but tyson's punch has far more mass.

Remember, a good punch is thrown with the entire body, not just the hand or the shoulder.

next, you need to figure out how much energy and momentum is transferred to the face. The ball will bounce off, meaning that some of its energy will still be contained within the ball.

On the other hand, tyson will punch through his opponent's head, meaning he will continue to transfer energy well past the first point of contact.

You then need to determine what kind of damage will be done.

Likely, the ball will cause shattered bones and broken teeth. The damage of the punch will likely be from concussive brain damage. Broken bones are also likely to break, but most damage will come from the brain.

You also have to look at the structure of bones. Bones can bend and twist. This will make it easier to absorb the force of the punch, but they likely would not be able to bend fast enough to dissipate the energy of the ball.

I don't really have exact numbers to work with, but if someone used the outline i made here, they could likely find many numeric values of the damage done.

Personally, I would take the punch. assuming I am allowed to keep my chin tucked, jaw tight, and neck stiff, the most he would do is break my nose, cheek, or teeth with a likely knockout. This would suck, but I would come out okay eventually.

On the other hand, the ball from Ryan would likely shatter many of my teeth and maxilla. This, in my opinion, would be much worse.

I've been hit hard by punches, and I think I would be able to withstand a blow that's probably about twice as hard as the hardest one I've ever taken. I may not be conscious afterwards, but I'll be okay.

The fastball would just suck.