**Body in Non-Uniform Acceleration**

Acceleration is defined as the rate at which the velocity of an object changes with time. When the acceleration of a body remains constant, it is said to be in uniform acceleration. However, there are cases when the acceleration of a body changes over time, leading to non-uniform acceleration. In such cases, we consider the body to be in non-uniform acceleration. Let's dive deeper into understanding when a body is considered to be in non-uniform acceleration.

**Defining Non-Uniform Acceleration:**

Non-uniform acceleration refers to the situation when the acceleration of an object is not constant but changes over time. This means that the rate of change of velocity is not constant, resulting in varying acceleration values throughout the motion of the object. In other words, the object's velocity is changing at a non-constant rate.

**Signs of Non-Uniform Acceleration:**

There are a few indicators that help us identify when a body is experiencing non-uniform acceleration:

1. **Changing Velocity:** If the velocity of an object is changing at a non-constant rate, it suggests that the body is experiencing non-uniform acceleration. This can be observed when the object's speed increases or decreases irregularly instead of changing by a constant amount.

2. **Varying Magnitude of Acceleration:** In cases of non-uniform acceleration, the magnitude of acceleration experienced by the body changes at different points in time. This means that the body is not experiencing a constant push or pull but rather varying forces that result in changing acceleration.

3. **Curved Motion:** Non-uniform acceleration is often associated with curved motion paths. When an object follows a curved path, it indicates that the acceleration is not constant, as a constant acceleration would result in a straight-line motion.

**Examples of Non-Uniform Acceleration:**

Several real-life examples demonstrate non-uniform acceleration:

1. **Car Acceleration:** When a car is initially starting from rest, the acceleration is typically higher, gradually decreasing as it reaches higher speeds. This non-uniform acceleration can be observed as the car's velocity changes at different rates during its acceleration phase.

2. **Projectile Motion:** When an object is projected into the air, it follows a curved trajectory. The acceleration experienced by the object is not constant but changes due to the influence of gravity. This non-uniform acceleration results in the object's changing velocity as it moves upward and downward.

3. **Circular Motion:** In circular motion, an object constantly changes its direction, necessitating a non-uniform acceleration to maintain the circular path. The magnitude and direction of acceleration vary as the object moves around the circle.

In conclusion, a body is considered to be in non-uniform acceleration when its velocity changes at a non-constant rate, resulting in varying acceleration values. Signs such as changing velocity, varying magnitude of acceleration, and curved motion paths indicate non-uniform acceleration. Real-life examples like car acceleration, projectile motion, and circular motion demonstrate non-uniform acceleration in various contexts.

Non uniform acceleration is the velocity of increasing by unequal amount in equal intervals of time. It means that the acceleration is not constant.