Acceleration (a) = (Change in velocity (Δv)) / (Time taken (Δt))
Here's a breakdown of how to calculate acceleration:
1. Determine the initial velocity (v₁): This is the velocity of the object at the beginning of the time interval.
2. Determine the final velocity (v₂): This is the velocity of the object at the end of the time interval.
3. Calculate the change in velocity (Δv): Δv = v₂ - v₁
4. Determine the time taken (Δt): This is the time interval over which the velocity changes.
5. Divide the change in velocity by the time taken: This gives you the acceleration.
Example:
Imagine a car starts from rest (v₁ = 0 m/s) and reaches a speed of 20 m/s after 5 seconds (Δt = 5 s).
* Change in velocity (Δv): 20 m/s - 0 m/s = 20 m/s
* Acceleration (a): 20 m/s / 5 s = 4 m/s²
Units:
* Velocity is measured in meters per second (m/s).
* Time is measured in seconds (s).
* Acceleration is measured in meters per second squared (m/s²).
Key points:
* Acceleration is a vector quantity: It has both magnitude (size) and direction.
* Positive acceleration indicates that the object is speeding up.
* Negative acceleration indicates that the object is slowing down (also known as deceleration).
* Constant acceleration means the velocity changes at a steady rate.
* Non-constant acceleration means the velocity changes at an irregular rate.
Let me know if you have any other questions!
