1. Constant Acceleration:
* A freely falling body experiences a constant acceleration due to gravity, denoted as 'g'. On Earth, this value is approximately 9.8 m/s². This means the velocity of the object increases by 9.8 meters per second every second it falls.
2. Linear Relationship:
* The relationship between velocity (v) and time (t) is linear. This means if you plot velocity on the y-axis and time on the x-axis, you'll get a straight line.
* The equation for this relationship is: v = u + gt
* Where:
* v is the final velocity
* u is the initial velocity
* g is the acceleration due to gravity
* t is the time
3. Initial Velocity:
* The initial velocity (u) of the falling body can be zero (if it's dropped from rest) or have a non-zero value (if it's thrown downwards or upwards).
Example:
* If a ball is dropped from rest (u = 0), its velocity after 1 second will be 9.8 m/s, after 2 seconds will be 19.6 m/s, and so on. The velocity increases linearly with time.
Important Note: This analysis assumes no air resistance. In reality, air resistance plays a role, especially at higher speeds, causing the acceleration to become non-constant and eventually leading to a terminal velocity where the object stops accelerating.
