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Velocity is
The rate of change of displacement
Speed is
The rate of change of distance
Area under a Velocity time graph
distance travelled (as It is the sums of displacements at all times between the range so ∴ is distance)

describe the displacement and movement of the object in the graph
No change in displacement
Object is stationary

describe the displacement and movement of the object in the graph
Displacement increases at a constant rate
Object is moving with constant velocity

describe the displacement and movement of the object in the graph
Displacement is increasing at greater rate as time increases
Velocity is increasing and object is accelerating