With the help of a graph, derive the relation v = u + at.
Answer:
Consider the velocity-time graph of an object that moves under uniform acceleration as shown in the figure ![]()
From this graph, we can see that initial velocity of the object (at point A) is u and then it increases to v (at point B) in time t. The velocity changes at a uniform rate a. As shown in the figure, the lines BC and BE are drawn from point B on the time and the velocity axes respectively, so that the initial velocity is represented by OA, the final velocity is represented by BC and the time interval t is represented by OC. BD = BC - CD, represents the change in velocity in time interval t.
