A graph plotted through time along the X-axis and the velocity along the Y-axis is dubbed the velocity-time graph. The nature that the graph depends on the nature that the motion of the particle. The velocity-time graph because that different situations is explained below.

You are watching: What does the area under a velocity time graph represent

Velocity time graph because that uniform motionWhat walk the area under a velocity graph represent?Velocity-Time graph for uniformly sped up motion

## Velocity time graph because that uniform motion

In uniform motion, the velocity that the particle remains the same. Because that a particle relocating with uniform velocity, the graph is a straight line (AB) parallel to the moment axis (X-axis) as displayed in number 1.

Figure 8

For example, think about a car beginning from suggest A. Let that be relocating along a straight line with uniform acceleration a during the time term t1 come t2 and then start relocating with uniform velocity throughout the interval of time t2 come t3. Thereafter, permit the velocity the the vehicle decrease uniformly and also the automobile come to a stop at the immediate t4. The motion of the vehicle can be represented by the v-t graph, as shown in figure 7. Climate the area under the velocity-time graph provides the full displacement of the car.

You can also go with my previous short article which debated the an interpretation and shape of the position-time graph because that non-uniform motion.

## Uses the the velocity-time graph

To discover the velocity the the particle at any instant.To discover the displacement the the bit in a given interval of time. The displacement is numerically same to the area enclosed by the velocity-time graph, the time axis and also the ordinates in ~ the beginning and also at the finish of the interval.

I expect the details in this write-up helps girlfriend to gain a quick idea concerning the concept and different shapes of velocity-time graphs. Also, this post explored the techniques to discover the displacement and acceleration indigenous the v-t graph.