Question

Velocity time graph of a body moving with variable acceleration is

• A.

  

• B.

  

• C.

  

• D.

  

Answer 1

Answer: (A), (D)

Explanation for correct options:

A:

1. A velocity-time graph's slope indicates acceleration.
2. The slope of the curve for a motion with changing acceleration varies at different points.
3. The curve in the graph represents the change in the slope of the graph and thus, indicates the change in acceleration.

D:

1. A velocity-time graph can be a curve and a curve of any shape.
2. The non-uniform change in velocity on the graph represents the change in the slope of the graph and thus, indicates the change in acceleration.

Explanation for incorrect options:

B:

1. Instead of velocity and time, the graph shows a relationship between distance and time. It is a graph of distance and time.
2. The slope of this graph gives the velocity instead of acceleration.
3. Hence, this option is incorrect.

C:

1. When a body moves with variable acceleration, the change in the velocity with time is non-uniform.
2. As the graph is a straight line that represents the uniform change in velocity.
3. Thus, the option is incorrect.

Hence, options A and D are correct.