The velocity-time plot shown above represents the decelerated motion of a particle with an initial non-zero velocity. The plot indicates that the velocity decreases over time, which is characteristic of deceleration.

Let`s analyze each option to understand why option 3 is the correct answer:

Option 1: Uniform motion of a particle on a circle

This option is not represented by the given velocity-time plot. In uniform motion on a circle, the velocity remains constant. However, in the plot, the velocity is decreasing, indicating deceleration.

Option 2: Accelerated motion of a particle with a non-zero initial velocity

This option is also not represented by the given plot. In accelerated motion, the velocity either increases or decreases depending on the direction of the acceleration. But in the plot, the velocity is decreasing, indicating deceleration, not acceleration.

Option 3: Decelerated motion of a particle with an initial non-zero velocity

This is the correct answer. The plot clearly shows that the velocity is decreasing over time, indicating deceleration of the particle`s motion.

Option 4: Decelerated motion of a particle with no initial velocity

This option is not represented by the given plot. In this case, the velocity would start from zero