Question

The displacement-time graph of a body is shown in the figure below. The part of the graph that represents the uniform motion of the body is ___.

Answer 1

Uniform velocity:

1. Velocity is the rate of change of the displacement of the body.
2. When a body is displaced equally in equal intervals of time, it is said to be moving in with a uniform velocity.

Given displacement-time graph:

Here,

1. The slope of the displacement-time graph gives the velocity of the body in that time interval.
2. In the given graph, the slope OA is increasing at a constant rate. Hence, the body is covering equal displacement in equal intervals of time during this interval.
3. The slope of AB is zero. Hence, the body is at rest during this interval.
4. The slope of BC is decreasing at a constant rate.
5. Thus, the velocity of the body is again constant in this interval but it will have a direction opposite to the direction of velocity calculated in OA.
6. The decrease in the slope of BC indicates that the body is moving in the opposite direction now and at point C it has again reached back at its starting position of the motion.

Hence, the part of the graph that represents the uniform motion of the body is OA and BC.