Position-Time Relations using Position-Time Graphs

In this section, Let us understand how the position changes with time when the velocity changes uniformly with time.

Let us consider a particle moving with uniform acceleration 'a' and having an initial velocity v (0) at t = 0.

For the sake of convenience, both distance and time are measured from the same point so that x (0) = 0.

From the above figure, it is clear that the area under the velocity-time graph = area of rectangle OACD + area of triangle ACB

The area under the velocity-time graph = area of OABDO = distance travelled 's' in an interval of time 't'.