v = u + at
where:
* v is the final velocity
* u is the initial velocity
* a is the acceleration
* t is the time
Derivation:
This equation is derived from the definition of acceleration:
a = (v - u) / t
Multiplying both sides by t gives:
at = v - u
Adding u to both sides gives:
v = u + at
Example:
If a car accelerates at 2 m/s² for 5 seconds, starting from rest (u = 0), its final velocity is:
v = 0 + (2 m/s²)(5 s) = 10 m/s
Therefore, the car's final velocity is 10 m/s.
