Question

How does the velocity- time graph for uniform motion helps to calculate the displacement covered during a given time t?

Answer 1

In velocity Time graph , Time is taken along X axis and velocity on Y axis....
Consider the graph :
The graph for uniform motion will be straight parallel to Time axis.

Let A and B be two points at time T1 and T2

Since motion is uniform: AA1=BB1= V

Area under Velocity time graph =AA1xA1B1=V(T2-T1)-------------(1)

Velocity= V=displacement/time=x2-x1/t2-t1

V(T2-T1)=x2-x1

Area ABB1A1=X2-X1

Hence displacement of a particle is equal to the area under velocity time graph

Answer 2

Displacement is area under velocity time graph.

Since velocity time graph for uniform motion is parallel to x axis or time axis.

Hence displacement under velocity time graph for uniform motion is equal to area of rectangle.

Means velocity unit (x ms-1) * time (y s) = xy m.

Hope it's helpful to u.