There are different ways to answer this question.
The smallest separation observable with the unaided eye is about 0.01mm
The smallest observable distance between two points is about 0.4 nm, which is the resolution of the most powerful Scanning Electron Microscope.
The smallest theoretical distance between two particles would be the distance between two quarks inside a neutron, which is 10-18 m.
The shortest mathematical distance would be 1/infinity.
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Time is distance between two events, just as space is the distance between 2 points...
It is distance
Shortest distance is called displacement . displacement =average velocity / average time . It is a vector quantity both has magnitude and direction.But,distance is a scalar quantity having only magnitude.
A distance-time graph shows the movement of an object with respect to time. The average slope between any two points on the graph is equal to the average velocity of the object between those two points. The instantaneous slope (or derivative) at a point on the graph is equal to the instantaneous velocity of the object at that point.
The distance travelled over the time period represented by the area under the v-t graph between the end points.