Suppose we have a mass $m$. We can talk about two of its parameters: The net force applied on it $f(t)$ and its net acceleration $a(t)$.
I want to know whether there is any delay between $f(t)$ and $a(t)$ in the real world.
Newton's equation doesn't include a delay, by asserting that $f(t) = ma(t)$, but in the real world scenario is there any delay?
Suppose before time $t=t_0$ the net force was zero but at time $t=t_0$ the force is non-zero.
At what instant is the acceleration gonna be non-zero? Is it gonna be at $t=t_0$ too? In other words, is there any delay between the information embedded by the "Net force" parameter and the information embedded by the "acceleration" parameter?
Perhaps I'm messing with a more deep problem, namely, whether time is continuous or not, but I'm not sure.
The motivation for this came from thinking that in a resistor, there is probably a delay between $V(t)$ and $i(t)$ in the real-world, even though Ohm's law doesn't include it.