The observation of ships disappearing over a horizon at a distance seems to be a frequent topic here. It also appears that many/most RE'ers disagree with the explanation provided in the FAQ. I would like to offer an alternative hypothesis for everyone's review.
I think we all agree that the Earth's surface is not completely flat. Even in areas that appear to be flat, there are gentle curves, hills and valleys. These surface changes may be so slight that one may conclude that an area is truly flat. While the Earth's surface is not a fluid, it does change due to wind and water. I believe these facts are accepted in both Earth shape theories.
The oceans however are fluid and rarely if ever appear truly calm and flat. Small waves are always present and usually observable. Considering the vastness of the oceans, it seems reasonable to believe some of these waves could be very long with only a relatively slight difference in height. If an undulation were several kilometers (or even tens of kilometers) in length, a height difference of ten meters could be too subtle to notice. For example, if such an undulation were 20km in length from peak to valley with the peak 10m above the valley, the slope would only amount to a .05% grade (or about 1.72 minutes of angle) which is likely imperceptible to the naked eye. (Feel free to check my math.) If a ship in the distance sailed over such a peak, it would appear to "sink" below a horizon. (The reverse may help explain observations of ships "suddenly" appearing.) This idea seems to be compatible with a flat-Earth model.
In presenting this hypothesis, I make two requests. First, please try to limit discussion to the merits/flaws of this idea as it is a work in progress and I'm asking your help in refining it. Second, please try to remain civil. I think most of you are capable of honoring both requests. Thanks.