Question
Plot velocity-time graph for uniform motion and show that the area under the graph is equal to displacement of the particle.
Solution
When a particle moves with a constant velocity, displacement is given by,
S = x - x0 = ut ...(1)
For uniform motion, the velocity time graph is straight line parallel to time axis.
Now area under v-t graph from t = t1 to t = t2 is given by = Area of rectangle ABCD
= ut
= x - x0, which is the displacement of the particle.
