We need to think in slow motion and look into what happened microscopically during impact. Generally, the phenomenon of collision can be described by the interaction of two objects separated by a spring, not necessarily connected. When the ball starts to move out the racket after the maximum indentation, there will be a moment when the ball and the racket will move at the same velocity, but do not have the same acceleration. To achieve the same acceleration, the racket must suddenly acquire the finite acceleration of the ball. A new force must be added to the racket at this precise moment to achieve the acceleration. This sudden change of force is called jumpulse.
The racket is simultaneously pushing the ball and chasing the ball. The ball and the racket interact only through the spring between them; the ball does not directly experiencing the new force applied on the racket. As long as the spring is indented for the same amount, the ball experiences the same force. What is done to the racket can affect the ball only through the spring. The key point, which all the teachers of ball control or touch must keep clearly in mind, is that the ball and the racket interact only through the spring. The "trick" is to move the ball and the racket at the same velocity with whatever forces are necessary.
In physics terms, jumpulse indicates a sudden shift from an inertia frame, which moves with zero or constant velocity, to an accelerating frame, which moves with an acceleration. In an accelerating frame, the ball experiences an inertia force due to its finite mass. Ball control or prolonged contact occurs because the inertia force and the spring force are in balance. The reason that prolonged contact can occur is that once the process of prolonged contact starts just a little bit, the prolonged period will give the player the additional time to adjust to create the effect of prolonged contact. It is the second condition in ball control. It is a feedback effect. In physics, it is called an instability with a resonance effect which reduces the frequency of the collision to zero or the period to infinity.
Ball control is related to touch, which can be described as collision without bounce. No robot today can touch, but all humans can touch. Robots are made by humans, and humans are made by their creator, be it nature or God. Almost all humans can touch with their hands, but only a tiny fraction (one in a million ?) can touch with a racket. Therefore, we must manufacture ball control in tennis players using our knowledge of physics, in which the concept of jumpulse is still not well-known. Touch is a part of post-science. In conclusion, today's sports theory of humans cannot catch up with sport practice of God.