So, area under trapezium is average velocity times time interval which is equal to displacement of body in time \(t\) The figure given below shows the v-t plot for a body with uniform acceleration.įigure 2 v-t plot for uniform acceleration Slope of v-t plotįrom above plot we can see that \(AB\) is the slope of the plot. Velocity-time graph uniform accelerationĪ body is said to be having uniform acceleration if its velocity changes by an equal amount in equal interval of time. The figure given below shows the v-t graph for a body in uniform motion.įrom this graph, we can see that the v-t graph for uniform motion is a straight line parallel to the time axis.
In other words, we can say that a body has uniform motion if it moves with a fixed velocity \(\vec v\) in the same fixed direction. The slope of velocity vs time graph gives the acceleration of the moving body.Ī body is said to have uniform motion if it covers equal distance in an equal amount of time.We can also find average speed and average velocity for any time interval from the v-t plot.From the v-t graph, we can also find the distance traveled by the particle.Velocity and speed of the particle at any instant of time can be found easily from v-t plot.These graphs are very useful as we can extract various kinds of information from a given v-t graph. The velocity-time graph is the graph plotted between the velocity of a particle with the passage of time.
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