Acceleration is the rate of change of velocity in a given time . therefore, it can be written as v-u/t

Understanding the Equation: a = (v - u) / t
This equation represents the relationship between acceleration (a), initial velocity (u), final velocity (v), and time (t). It is fundamental in kinematics, describing how velocity changes over time.
Key Components of the Equation
- Acceleration (a): The rate of change of velocity per unit time.
- Initial Velocity (u): The velocity of an object at the start of a time interval.
- Final Velocity (v): The velocity of an object at the end of a time interval.
- Time (t): The duration over which the change in velocity occurs.
Derivation of the Equation
1. Definition of Acceleration:
- Acceleration is defined as the change in velocity over time. Mathematically, this is expressed as:
- a = (v - u) / t
2. Rearranging the Formula:
- To find acceleration, you subtract the initial velocity from the final velocity to determine the change in velocity.
- This change is then divided by the time taken for that change, providing a clear relationship between the quantities.
Application of the Equation
- This equation is widely used in physics to analyze motion. It helps in calculating how fast an object speeds up or slows down during a specific time interval.
- It can be applied in various scenarios, such as a car accelerating from a stop or a ball thrown upwards.
Conclusion
Understanding the equation a = (v - u) / t is essential for analyzing motion in physics. It encapsulates the basic principles of acceleration and helps predict the behavior of moving objects.