Question

The displacement-time graph of a body is shown in the figure below.

The part of the graph that represents the body at rest is

• A. OA
• B. AB
• C. BC
• D. CD

Answer 1

The correct option is B

AB

Displacement-Time Graph:

1. The slope of the displacement-time graph is equal to the velocity of the body.
2. If the slope of the graph is a straight line then the body is having zero velocity.
3. If the slope of the graph is increasing or decreasing constantly, the velocity of the body is uniform during that time interval.
4. The displacement is plotted on the $y-axis$ and the time is plotted on the $x-axis$.

Explanation for the correct option:

Option B:

1. From the given graph, we can observe that there is no displacement from A to B as the slope is zero.
2. Hence, the body is at rest during this interval.

Explanation for the incorrect options:

Option A:

1. We can observe from the graph that there is a displacement between O to A as the slope is not zero.
2. The body must have moved during that interval.

Option C:

1. We can observe from the graph that there is a displacement between B to C as the slope is not zero.
2. The body must have moved during that interval.

Option D:

1. We can observe from the graph that there is a displacement between C to D as the slope is not zero.
2. The body must have moved during that interval.

Hence, option B is the correct option.