Area under velocity versus time graph(between two given instances of time i.e. two points on time axis) gives the displacement of the body( whose graph was plotted) between those two instances i.e. in that time interval. Area under velocity time graph can be found from definite integration if the graph is a curve.
Note: Area under velocity versus time graph gives displacement not distance covered by body.
Note: Area enclosed between the plotted curve and time axis is taken. For convenience time should be taken in the x-axis.
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∙ 14y agoThe area under an acceleration-time graph is equal to the object's velocity (not change in velocity).
Displacement is the area under the v-t graph.
The distance travelled over the time period represented by the area under the v-t graph between the end points.
the physical quantity is distance and unit is meters
change in velocity
The area under an acceleration-time graph is equal to the object's velocity (not change in velocity).
The area under the velocity time graph of an object is equal to the distance travelled by that object in that time. This is because displacement is the integral of velocity with respect to time so integrating velocity from time A to time B will give the displacement from time A to time B. ( Integrating is the same as calculating the area under the graph)
The area under a velocity-time graph represents the displacement of an object. If the area is positive, the object is moving in the positive direction; if negative, the object is moving in the negative direction. The steeper the slope of the graph, the greater the velocity.
No, displacement is the area under the velocity vs. time graph. The slope of a velocity vs. time graph represents acceleration.
Displacement is the area under the v-t graph.
The area under the acceleration-time graph represents the change in velocity over a given time interval. It provides information about how the velocity of an object changes over time, with positive area indicating acceleration and negative area indicating deceleration.
To find the position from a velocity-vs-time graph, you need to calculate the area under the velocity curve. If the velocity is constant, the position can be found by multiplying the velocity by the time. If the velocity is changing, you need to calculate the area under the curve using calculus to determine the position.
Velocity.
A position time graph can show you velocity. As time changes, so does position, and the velocity of the object can be determined. For a speed time graph, you can derive acceleration. As time changes, so does velocity, and the acceleration of the object can be determined.If you are plotting velocity (speed) versus time, the slope is the acceleration.
distance travelled
To calculate distance from a velocity-time graph, you would find the area under the curve, as this represents the displacement or distance traveled. If the graph is above the time axis, calculate the area above the time axis, and if it dips below, calculate the area below the time axis. Summing these two areas will give you the total distance traveled.
The area of a position-time graph does not have a meaning. However, the area under a velocity-time graph is the displacement. Refer to the related link below for an illustration.