While I can't find anyone willing to give a damn straight answer as to how time spent accelerating affects the Newton equation...
F=ma. a=Δv/Δt. Twice as much time means half as much acceleration means half as much force. Clear?
OK, do you mean Δv is change of velocity and Δt is change in time?
Yes.
The formula I found was N=1kg * (m/s2), which is just sticking units into the general F=ma. In the Newtons formula, I think m/s2 is a. Based on what you said, m is Δv and s2 is Δt.
It's a bit more complicated. s stands for seconds, like m stands for meters and kg stands for kilograms. One of the seconds...es is from velocity (measures in m/s), the other is from the changing (measured in s). Trying to put it in words makes it seem more complex than it is...
-snip-
No. That is the acceleration caused by gravity. If you fall for one second, you will accelerate to about 9.8 meters per second. After six seconds, your velocity is 9.8*6=58.8 m/s
2.
I think this all stems from a slightly different interpretation of how the rules work compared to how they're meant to work. It doesn't actually say 8000 lbs. of force; it justs says it can support 8000 lbs. this whole argument is probably invalid anyway, really, because we're interpreting the rules in our own way. I'm guessing a ship can make a DC 30 Strength check.
We are using the rules we have to guess how this would work, by combining them with real-world physics. Which may be amistake, but it is still fun.
And technically the ship cannot make a Strength check, because it is an inanimate object.
However, I must also disagree with you about the harness of your body 'striking' the harness of your armor. You will be touching your armor. It is simply about the rate of decelleration, at least in reality, that and the area in which the force caused by the decelleration is spread out. Sure, if you had on a breastplate, poorly made, simple, or otherwise just a few pieces of armor essentially hanging on you, that would be the case. But if you were wearing full plate or half plate, or even chaimail? The straps distribute the weight over your body, thusly also distributing the force. With chainmail. You would likely come to hang around the rod, as the chains are more elastic as a whole than plate. It would also affect the entire region in which chain was able to touch you. Of course, more likely, the chains would simply snap and you would keep falling, depending on your speed.
It would depend heavily on the harness and such.
Although, I must also question my own proposal of them retaining the same velocity, acceleration, or jerk, for, presumably, if you were to activate it whilst falling, it should keep falling with you were you to do that, which it almost certainly does not.
I also question it, as it makes no sense, either with the RAW, intent, or most forms of common sense.
I feel like an actual mage debating with fellow mages about magical interactions as compare to physics. :3
Fun, isn't it?