Question

From the given v – t graph (Fig.), it can be inferred that the object is

• A. In uniform motion
• B. At rest
• C. In non-uniform motion
• D. Moving with uniform acceleration

Answer 1

The correct option is A

In uniform motion

Explanation for the correct option:

Option A:

1. The velocity at all points in the graph is the same.
2. That is, the velocity is remaining constant with the time.
3. If a body is moving with constant velocity, it is said to be in a uniform motion.
4. Therefore, this graph represents a uniform motion.
5. Hence, this option is correct.

Explanation for the incorrect options:

Option B:

1. From the graph, we can observe that the body has a constant velocity thus the body cannot be at rest.
2. Hence, this option is incorrect.

Option C:

1. In non-uniform motion, the velocity of a body is not constant but in the given graph, the velocity is constant.
2. Hence, this option is incorrect.

Option D:

1. We can observe in the given graph that $v=cons\tan t$
2. Acceleration is given by,$a=\frac{dv}{dt}=\frac{d\left(cons\tan t\right)}{dt}=0$
3. Therefore, the acceleration cannot be uniform as it is zero.
4. Hence, this option is incorrect.

Hence, option A is the correct option.