Answer :
When analyzing the motion of an object, it is essential to first establish a reference frame. Here's why:
1. **Reference Frame Definition**: By defining a reference frame, we establish a point from which we observe and measure the motion of the object. This provides a fixed point of reference against which we can analyze the object's position, velocity, and acceleration.
2. **Relative Motion**: Different observers may perceive the motion of an object differently based on their frame of reference. Defining a reference frame ensures consistency and helps in accurately describing the motion of the object regardless of the observer's viewpoint.
3. **Simplify Analysis**: Having a defined reference frame simplifies the mathematical equations used to describe the motion of the object. It allows us to break down complex motion into simpler components and analyze them systematically.
4. **Comparison and Prediction**: With a reference frame in place, we can compare the motion of different objects or predict the future behavior of the moving object more effectively. This aids in making accurate calculations and predictions in various scientific fields.
In summary, establishing a reference frame is crucial in analyzing the motion of a body as it provides a standardized point of observation, simplifies calculations, aids in comparison and prediction, and ensures consistent analysis across different observers.