Question

The velocity-time graph of a certain body is shown in the following graph. The part of the graph that shows deceleration of the body is

• A. OA
• B. AB
• C. BC
• D. CD

Answer 1

The correct option is D

CD

Velocity-time graph:

1. In the velocity-time graph, velocity is the dependent variable and is represented to the y-axis and time is the independent variable, represented on the x-axis. The slope of the graph is, $a=\frac{dv}{dt}$
2. We see that the slope of the velocity-time graph is the definition of acceleration, therefore it can be said that the slope is equal to the acceleration.

Explanation for correct option:

Option D:

1. In part CD of the velocity-time graph, we can clearly see that if the slope of the velocity-time graph is negative then the body will decelerate.
2. Thus, the CD shows the deceleration of the body.

Explanation for incorrect options:

Option A:

1. In part OA of the velocity-time graph, we can clearly see that the slope of the velocity-time graph is positive then the body will accelerate.
2. Hence, option (A) is incorrect.

Option B:

1. In part AB of the velocity-time graph, we can clearly see that the slope of the velocity-time graph is zero then the acceleration of the body is also zero.
2. Therefore the body will move with uniform velocity.
3. Hence, option (B) is incorrect.

Option C:

1. In part BC of the velocity-time graph, we can clearly see that the slope of the velocity-time graph is positive then the body will accelerate.
2. Hence, option (C) is incorrect.

Hence, option D is the correct answer.