Velocity is distance divided by time. So the value of the velocity-time plot at any point in time will be the slope of the distance-time plot at that point in time.
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Simply put, a velocity time graph is velocity (m/s) in the Y coordinate and time (s) in the X and a position time graph is distance (m) in the Y coordinate and time (s) in the X if you where to find the slope of a tangent on a distance time graph, it would give you the velocity whereas the slope on a velocity time graph would give you the acceleration.
Simple, velocity = distance by time ,which probably means distance = velocity X times.
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.
Distance divided by velocity = time
velocity = distance/time