Answer :

jhansip1979

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

Thank you

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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