a = (v_f - v_i) / t

where:

* a is acceleration

* v_f is final velocity

* v_i is initial velocity

* t is time

Here's how you can rearrange it to solve for different variables:

1. Solve for final velocity (v_f):

* Multiply both sides by t: a * t = v_f - v_i

* Add v_i to both sides: a * t + v_i = v_f

* Therefore, v_f = a * t + v_i

2. Solve for initial velocity (v_i):

* Multiply both sides by t: a * t = v_f - v_i

* Subtract v_f from both sides: a * t - v_f = -v_i

* Multiply both sides by -1: -a * t + v_f = v_i

* Therefore, v_i = v_f - a * t

3. Solve for time (t):

* Multiply both sides by t: a * t = v_f - v_i

* Divide both sides by a: t = (v_f - v_i) / a

* Therefore, t = (v_f - v_i) / a

These rearrangements allow you to calculate any of the four variables (acceleration, final velocity, initial velocity, or time) if you know the other three.