1. Displacement:
* Definition: The change in position of an object. It's a vector quantity, meaning it has both magnitude and direction.
* Formula: Displacement = Final position - Initial position.
* Example: If an object moves 5 meters east and then 3 meters west, its displacement is 2 meters east (5 - 3 = 2).
2. Distance:
* Definition: The total length of the path traveled by an object. It's a scalar quantity, meaning it only has magnitude.
* Formula: There's no single formula for distance, as it depends on the path taken. You need to add up the lengths of each segment of the path.
* Example: In the previous example, the distance traveled is 8 meters (5 meters east + 3 meters west).
3. Velocity:
* Definition: The rate of change of displacement over time. It's a vector quantity.
* Formula: Velocity = Displacement / Time.
* Example: If an object moves 10 meters east in 2 seconds, its velocity is 5 meters per second east (10 / 2 = 5).
4. Speed:
* Definition: The rate of change of distance over time. It's a scalar quantity.
* Formula: Speed = Distance / Time.
* Example: In the previous example, the speed is 4 meters per second (8 / 2 = 4).
5. Acceleration:
* Definition: The rate of change of velocity over time. It's a vector quantity.
* Formula: Acceleration = (Final velocity - Initial velocity) / Time.
* Example: If an object starts at rest and reaches a velocity of 10 meters per second east in 2 seconds, its acceleration is 5 meters per second squared east ( (10 - 0) / 2 = 5).
Important Notes:
* Units: Make sure to use consistent units for all measurements (e.g., meters for distance, seconds for time).
* Vectors: When dealing with vectors, remember to account for both magnitude and direction.
* Equations of Motion: There are several equations of motion (also known as kinematic equations) that relate displacement, velocity, acceleration, and time for uniform acceleration. These equations can be used to solve for various unknown quantities.
Remember, these are just the basics of motion calculation. There are many other factors that can affect motion, such as forces, friction, and gravity.
