Investigative question on the investigation relationship between force and acceleration

There is no direct relationship between velocity and force. In a friction-free environment, no force is required to maintain velocity. Force is required to increase or decrease velocity (accelerate or decelerate), but as soon as the force is removed, velocity stabilizes at the new value.
When working with gears, force is multiplied according to the gear ratio of the gears (mechanical advantage). If you apply 100 lb-ft of force on the input gear of a gearset that has a 3.5 to 1 ratio, you will get 350 lb-ft of torque from the output gear (friction disregarded). This torque (force) is applied to overcome the inertia of whatever load you are applying the force to.
In practical terms, the torque of the engine, without being 'geared down', is inadequate to overcome the inertia of a vehicle (accelerate) quickly. So you start in a lower gear (higher ratio), and transition to higher gears (lower ratios) as vehicle velocity is attained. This is done manually or automatically. On most current vehicles, an overdrive gear (ratio less than 1 to 1) slows the engine speed even further for better fuel economy.
At a constant (cruising) velocity, you only need enough force from the engine to overcome wind resistance, tire resistance on the road, and the friction of all moving parts of the powertrain. So even at a high velocity (100 kph/60 mph), relatively little force is required.

You should retrieve the trouble codes to determine where to start investigating. This will put you on the fastest.path to correcting your driveability problems.

No the FBI has cleared here of any intentional wrongdoing. That totally useless investigation cost millions of taxpayers dollars and was forced on the FBI by the Republican party

Need a few more variables

The system is faulty and needs to be investigated by a trained electropneumatic brake specialist

That's a possibility, but before you investigate that, as it's a smaller possibility, please check the following:
1) Spark plugs, leads and coil(s)2) Fuel filter and pump3) Air filter.
Those are the more probable issues which often cause faults such as this.

Try contacting the Dealer. There was a big investigation about some Hondas suddenly accelerating. Here in the U.S., there were Lawsuits and deaths from sudden acceleration.

Check out the site, I believe, Allaboutautomobiles.com, which has the National Hoghway Traffic Administration info about each car and defects. This site has Recall #s and Consumer complaints listeded.

I hope my solution is useful.

Check that the intake is clear, no blockages(ie paper in the intake or a blocked air filter) if clear feel the coil, is it very hot? Does it only happen when the engine is at operating temp? Coils break down under heat and you loose spark under load(ie acceleration) or maybe you have a blocked fuel filter or pickup filter in your tank which would cause fuel starvation! These are the areas to investigate!

Your ignition lock cylinder probably fell apart. They get worn out and the tumblers inside fall out and leave the cylinder inoperable. Get your lock cylinder replaced and you'll be good as new.

I would investigate a clogged fuel filter or weak fuel pump. May just not be getting enough gas to go faster....

Don't forget to check the air filter. Dirty air filter will usually cause issues at lower speeds too but can't be ruled out.