1. When you know initial velocity (v₀), final velocity (v), and acceleration (a):
* t = (v - v₀) / a
2. When you know initial velocity (v₀), displacement (Δx), and acceleration (a):
* t = √(2Δx / a) + v₀ / a
Explanation of the terms:
* t: time
* v₀: initial velocity
* v: final velocity
* a: acceleration
* Δx: displacement (change in position)
Important notes:
* These formulas assume constant acceleration.
* Make sure to use consistent units for all variables (e.g., meters per second for velocity, meters per second squared for acceleration, and seconds for time).
Example:
Let's say a car starts from rest (v₀ = 0 m/s) and accelerates at 2 m/s² for 5 seconds. What is the final velocity of the car?
Using the first formula:
* v = v₀ + at
* v = 0 + 2 * 5
* v = 10 m/s
Therefore, the final velocity of the car is 10 m/s.
