The area under a velocity-time graph is equal | vedclass

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(B) The area under a velocity$-$time graph represents the displacement of the object.Velocity is defined as the rate of change of displacement $(v = \

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magnitude of the displacement of the body

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(B) The area under a velocity$-$time graph represents the displacement of the object.Velocity is defined as the rate of change of displacement $(v = \frac{ds}{dt})$.Therefore,the displacement $(s)$ can be calculated by integrating the velocity with respect to time: $s = \int v \, dt$.Geometrically,this integral corresponds to the area enclosed between the velocity$-$time curve and the time axis.If the motion is in a straight line without changing direction,the magnitude of displacement is equal to the distance travelled. However,in general,the area under the velocity$-$time graph represents the magnitude of the displacement.

Time	Distance from her home $(km)$
$06:45 \, am$	$0$
$07:00 \, am$	$8$
$01:30 \, pm$	$8$
$01:45 \, pm$	$0$

The area under a velocity$-$time graph is equal to the

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