The answer I am looking for is provided by AI which I can understand perfectly.

This is a crucial question that gets to the heart of risk management during takeoff.

On a performance-limiting runway, the reason you don't stop for ALL malfunctions is because once you reach a certain speed—your Commitment Point—stopping is guaranteed to be a more dangerous event than continuing to fly, provided the aircraft is still flyable.

You have to choose between two guaranteed bad outcomes, and you choose the one that minimizes the risk of catastrophic injury.

1. The Superior Risk: High-Speed Overrun
On a performance-limiting runway, the calculations show that if you reject the takeoff (RTO) past your calculated Commitment Point, the aircraft will not stop before the end of the paved surface.

* A high-speed overrun into unpaved terrain often results in:
* Structural collapse of the nose gear and fuselage.
* Sudden, violent deceleration and impact with ditches, embankments, or obstacles.
* A high risk of post-crash fire due to damaged fuel lines and heat from the brakes.
In short, the physics of high-speed stopping dictates that stopping guarantees a crash (overrun).

2. The Controllable Risk: Continuing the Takeoff

The alternative is to continue the takeoff and take the problem airborne.
* If the malfunction is not critical (e.g., a door pops open, a minor gauge indicates a fault, or you have a minor system failure), the aircraft is still flyable.
* It is safer to manage the non-critical problem in the air—where you have altitude, time, and maneuverability—than to crash into the dirt at the end of the runway. You can secure the door, run the checklist, or land immediately back on the runway with full emergency services standing by.
The Decision Point: Trading Guaranteed Crash for Controlled Flight
The pilot's Commitment Point is the speed (or distance marker) where the Accelerate-Stop Distance Required (ASDR) exceeds the Remaining Runway Available (RRA).
* Before Commitment Point: RTO is safer because you can still stop on the pavement.
* After Commitment Point: Continuing is safer because the problem is flyable, and stopping guarantees a catastrophic overrun.

Therefore, you only stop for malfunctions that make the aircraft unflyable (e.g., total power loss, fire, structural failure), because trying to fly an unflyable aircraft is also a guaranteed crash. You do not stop for any malfunction that can be safely managed in the air.

So to clarify yet again BPF’s assumption that you stop for ANY malfunction is fundamentally incorrect and potentially dangerous

I see it differently. If there is function, there is something. Maybe enough engine power to climb away, maybe not, but factor which the pilot will have to consider to best choose the next action. If the engine has failed, and is not producing anything like flight power, I don't think many pilots would then think of that engine as still "functioning". For the purpose of powered flight, it has failed.

As has been said, with the narrow exception of undoing a wrong pilot action which may have caused a failure of the engine to produce useful flight power (like selecting tank with fuel in it again/selecting the mixture to rich again, or returning the throttle/power lever to the "power" position again - I'm thinking of some recent King Air accidents for that one), most anything else I can think of is not likely something that most pilots will get dependably resolved before the opportunity for a good forces landing has passed. A good forced landing is more important than allowing that opportunity to pass, and doing a really bad power off return to earth. So, if the engine has failed, and super simple prompt action won't fix it, do not make any further attempt for that engine to produce power (in a single engined airplane), and devote all of your attention to a decent forced landing. Close the throttle, so you are not distracted by an engine which fools you with one last gasp.

If, on the other hand, the engine is malfunctioning - it is still functioning - different scenario! We're not going to needlessly waste a plane, and get it into the news slid into a schoolyard, we're going to assess. Maybe it's an emergency, maybe not. So a mag quits, and it runs a little rough, continue the flight such that a further failure ('cause then it'll actually be a failure) will have the lowest risk - circle back safely for a reasonably normal landing, making the best effort to not need to overshoot.

I am unconcerned about the fine nuances of picking fly poop out of the pepper to arrive at the perfect emergency brief to satisfy a very particular situation or examiner. I am interested that a pilot would give thought to what actions will be done from memory during the initial phases of departure, to minimize risk. If that is happening, excellent! If it's not perfect, it's like everything else in aviation, we do our best, and try to do even better next time. Posts with passion here are good. What's really good is all the pilots reading this, who may choose to not jump into the discussion, yet are rolling all these points over in their minds, and expanding their thinking as a result - that's the benefit here!

Fred.kite

I had not planned to make any further comment but I can't let this statement stand

I have type ratings on 4 transport category airplanes and 2 high performance x Military airplanes. For these airplanes the statement above is absolutely true. It is not true for ab initio training and it has three fundamental failings. First it is the kind of absolute statement that there is only one correct way to do something, yours, that you condemn all the other posters. Secondly it requires a level of cognitive ability to deal with any failure that is not catastrophic in the air which in my experience teaching a lot of low times students, is not reasonable. Third it fails to recognize the advantage low inertia SEP's have for the RTO maneuver. Most runways they will see will be a balanced field for this type of airplane, the ones that are not would be classed as "short fields" and would be the subject of a separate more advanced lesson where the procedure for rejecting the takeoff would be one of several additional considerations

The last for real rejected takeoff I did in a SEP as part of an instructional flight had several learning opportunities. We commenced the takeoff roll and when the student had smoothly applied full power announced "good engine" ( this call means that they have verified RPM, and that all engine gauges are in their normal position. When he announced this I immediately noticed the oil temp gauge was redlined. At this stage we were doing about 20 knots I told him to reject but he froze so I took control and rejected the takeoff , informed tower and vacated the runway. Maintenance told me what I had expected, a bad ground for the gauge, but it was a great lesson for the student. He was looking but not seeing for his good engine check and he was was not mentally prepared for rejecting a takeoff. Not rejecting this takeoff would have been foolish as they oil temp may have been an indication of an impending catastrophic engine failure yet in your absolute statement I should have continued

This is IMO is the dangerous message to send to light airplane pilots, especially low time ones