Is There a Time Lag Between Force Application and Motion?

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There is a nuanced relationship between the application of force and the resulting motion of a body. Classically, there is no time lag, but acceleration may gradually increase at the onset of force application. A lag can occur when force is applied to deformable materials, leading to immediate local deformation rather than overall motion. Additionally, an illusory lag may arise when initial motion is too slow to perceive. The discussion invites further exploration of specific contexts for a more tailored understanding.
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Is there time lag between application of force and motion of body ?
 
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This is one of those "yes ... and then again, no" things.
It depends on the granularity that you are viewing the process.

Classically there is no time lag, though there will be a gradual increase in the acceleration right at the start and classically is where we live most of the time.

You can get a lag if you apply a quick force against something squashy or springy - but then the immediate effect is deformation of the body ... which is local, rather than bulk, motion.

Then there is the illusiary lag due to the initial motion being too slow to notice ... similar to hang time.

Did you have a particular context in mind?
 

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