As per my respect rules, since you are asking semi-valid questions, I shall answer your questions, even though you are asking said questions in a profoundly stupid way; questioning the physics of a cartoon where a bunch of mechs roll around on skates and freaking fly with energy wings is pushing it just a tad.

First, you just said that the more serious that an anime is, the more realistic its physics should be.
But then you double back saying that the force of gravity is lower (or suggest that it might be; why else would you bring it up?). As sensible as you claim to be, you still need some work on forming your ideas in a coherent fashion. Since you believe that the physics MUST be realistic, as this is a serious anime and I have quoted you saying as such, I will treat this as reality...which is what I was doing in the Lacus/Euphemia thread in the first place (it was a freaking joke).
Now to your questions. Please take out some pen and paper and take notes as they will be requested at the end of the lecture. Here's a screencap of Euphemia falling out of that window in episode 5.
Attachment 30149
As you can see, she has already passed the third story window (she was certainly not a short distance from the ground from ANY perspective), but is too far far away from it. This means that she couldn't have fallen from that particular window; she must have been higher than that, from AT LEAST the fourth story window, which is where I will place her for the sake of this example (she easily could have been higher than that).
Now, taking air resistance out of the equation (as Euphemia was tucking in her dress and it wouldn't have helped squat even if she hadn't), since this is Earth, we know that acceleration due to gravity is 9.8 m/s squared (I am well aware of the variants of acceleration due to gravity, but for the sake of simplicity, we are going to use 9.8 m/s squared as a constant). This means that the moment Euphemia fell (jumped, leaped, whatever), she was going AT LEAST 9.8 m/s or 32 ft/s.
The fourth story of a building is typically located 20 meters (60 feet) from the ground. With Euphemia's acceleration, it would have only taken her 2.04 seconds to complete the fall. With the knowledge of the (presumed) height of her fall and the time it took her to complete the fall (speed = distance/time), we can calculate that she was falling at 9.8 m/s or 21.9 mi/h. At this speed in a car, one can get pretty banged up, usually whiplash and bruises somewhere (hell, add another 2.1 mi/h and the airbags would have deployed), but one is surrounded by 2 tons of metal when this happens. Unprotected, falling at that height is most likely going to be fatal as only about 35 feet is needed to be almost certainly fatal. Now class, if Euphemia is falling from almost twice the presumed fatal height (and she could have been even higher than that), what does this mean?
When it comes to Euphemia's intelligence, she admits that she DIDN'T notice Suzaku being under her until AFTER she had leaped from the window (please watch the episode in question; she says this right to Suzaku's face). This of course means that she didn't plan for Suzaku to be under her, that she had jumped without his presence in mind. Of course, this STILL doesn't answer the question as to WHY she felt the need to jump out of a window in the first place (she explains that "bad men" were chasing her, but this is seriously debatable).
In short, my answers are 1) the physics of Code Geass is actually debatable, as are ALL mech anime (hell ANY work of fiction); I was really making a joke that you somehow felt the need to debate, 2) I do believe that Euphemia was stupid enough to leap out of a window without the knowledge of Suzaku catching her because she admitted, to SUZAKU'S FACE, that she didn't know that he was there until AFTER she leaped, 3) I don't believe she fell a short distance; the screencap proves as much and 4) I don't believe that the gravity is lower but that questioning the physics of the show AT ALL, where several ton mechs fly and a teenage boy controls people with his eye, shows a serious need to get out more.
This concludes today's lecture. Please print your name and pass your notes to the front of the room.

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