Instantaneous velocity is the velocity of an object at a particular instant in time. In the case of non-uniformly accelerated motion, the object's velocity is changing over time, and therefore, its instantaneous velocity is also changing.

Explanation:
- Definition of non-uniformly accelerated motion:
Non-uniformly accelerated motion refers to the motion of an object where the acceleration is not constant. This means that the object's velocity is changing at different rates during its motion.

- Relationship between acceleration and velocity:
Acceleration is the rate of change of velocity with respect to time. In other words, acceleration measures how quickly an object's velocity is changing. If the acceleration is constant, the object's velocity changes at a constant rate. However, in non-uniformly accelerated motion, the acceleration is not constant, so the velocity changes at varying rates.

- Instantaneous velocity and non-uniformly accelerated motion:
Instantaneous velocity is the velocity of an object at a specific moment in time. It can be determined by finding the slope of the object's position-time graph at that particular time. In non-uniformly accelerated motion, the slope of the position-time graph is not constant because the velocity is changing at varying rates. Therefore, the instantaneous velocity is also changing at each instant in time.

- Explanation of option A: It increases:
The correct answer, option A, states that the instantaneous velocity increases in non-uniformly accelerated motion. This means that as time progresses, the object's velocity is increasing. This is consistent with the definition of non-uniformly accelerated motion, where the velocity changes at varying rates. The object could be moving faster or slower at different points in time, but overall, the velocity is increasing.

- Example:
To illustrate this concept, consider the motion of a car that is initially moving at a slow speed and then gradually accelerates. As the car accelerates, its velocity increases, leading to a higher instantaneous velocity at each moment in time. This is an example of non-uniformly accelerated motion, where the velocity is changing at varying rates.

Overall, in non-uniformly accelerated motion, the instantaneous velocity increases because the acceleration is not constant, and the velocity changes at varying rates.