Flight Safety<
Your research is paying off! The definition of apparant force is perfectly correct.
It is important for the purest to recognize the difference between an applied force and a 'force" that is really due to an acceleration. The truck hits your car, which accelerates it, and the passengers, formerly at rest, are accelerated and "feel" a "force" that is their inertial resistance to the acceleration.
Similarly, the velocity is a vector, with both direction and magnitide (speed) as its constituents. One changes velocity (accelerates) when at a constant speed while circling. This acceleration is "felt" as a force while in the turning/accelerating reference frame, but is seen as a non-force in the stationary outside reference frame. The distinction is important when looking at a fresh problem, where an engineer must decide how to design for the applied loads. By convention and by definition, he draws a "free body diagram" which defines all the forces on the free body in an UNACCELERATED state (an inertial reference frame).
This seems to a lay person as a minor point, but it took western science about 2000 years to get there. Read Galileo's 'Dialogs" which are wonderfully easy and clear, where he for the first time determined the distinction. Archimedes believed (as did the whole human race) that a natural retarding "force" existed in nature, until Galileo realized the inertial reference frame concept. Thus did he drop the cannon balls off the Leaning Tower (at least in legend) to demonstrate one part of his unified inertial reference frame concept.
This thread could go on for a very long time, and we all get sharper because of it!