Answer :
the area bounded by the line and the axes of a velocity-time graph is equal to the displacement of an object during that particular time period
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The area between the line and the x axis represent on a velocity vs time graph is the displacement.
The area under velocity-time graph is known as displacement.
In velocity-time graph, the y-axis represents the velocity axis while the x-axis represents the time axis.
Velocity is defined as the change in displacement per change in time.
[tex]v = \frac{dx}{dt}[/tex]
where;
- [tex]dx[/tex] is the change in displacement
- [tex]dt[/tex] is the change in time
The integration of the velocity gives the area under the curve and that will be equal to the displacement.
[tex]\int\limits^a_b {v} \, dt = x[/tex]
Thus, the area between the line and the x axis represent on a velocity vs time graph is the displacement.
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