I read recently that if I'm in a plane that hits turbulence, the plane might only move 1 to 20ft. However, due to the speed that plane is travelling at (say cruising at 550mph). The passengers in the plane will accelerate and move a distance greater than the plane has moved.
Ignoring how bad that example may be. How would you determine the relationship between the displacement and speed of a plane and the displacement and speed of the items inside?
The same could be applied to a box you're holding in your hand that contains some smaller items. If I was to move the box up 3 inches at a slow speed, I would not expect the items to move (relative to the box), but if I did it quickly, I would expect them to hit the roof of the box, but how could I calculate that?