I can only comment about what happens when you ride on static rollers, which I have also done on board ship during my navy days.
If you ride toward the conveyor at some speed, your forward momentum will try to remain the same, however, the rate of rotation of the wheels will want to suddenly alter.
As your front wheel hits, it will try suddenly to adjust speed, and since its mass is fairly small compared to your total moving mass, it will probably do this easily enough, there will be some change to your balance and this might need some adjustment on your part.
When the back wheel hits, it would be better if you were not pedalling at the time as you would find this wheel spins up a bit faster, which would mean your effort on the pedals would reduce suddenly. Your leggs would then speed up suddenly for a moment and that might be enough to cause you to wobble somewhat.
You will slow down a little and quite suddenly as the tyre grips and the wheels have to change their speed of rotation.
The trick is to build up enough speed to roll fairly quickly onto the conveyor, your own forward momentum will keep you going onwards for a time during which you can get your pedalling going again after the transition from fixed surface to conveyor.
On static rollers sometimes you get the reverse, sometimes you are pedalling so hard that you wobble a bit too much and drop off the side of the rollers.
The only moving parts are the rollers themselve and the transmission, including the wheels, and your body and bike mass are far greater than thse, so whathappend is tha the wheels spin up rapidly as it drops off the roller, and stops very suddenly as it hits the ground.
There is not enough energy to drive you forward, though the side of the tyres might kick on the side of the rollers, which kick backwards at a lick.
The sudden transitions usually causes one to fall sideways, which is why it is not a bad idea for the inexperienced static roller rider to be inches close to a wall to prop up in such and event.
When at sea on board a ship it demands huge concentration, the slightest movement needs adjustment, the worst its when you are pitched forward and backwards on the rollers as it transfers body weight backward and forward onto one or th ether wheel which makes keeping a regular cadence difficult.