Question

the equation $f = v + at$ represents the final velocity of an object, $f$, with an initial velocity, $v$, and an acceleration rate $a$, over time, $t$. which is an equivalent equation solved for $a$?
$\frac{f-v}{t}=a$
$\frac{f}{t}-v=a$
$\frac{f+v}{t}=a$
$\frac{f}{t}+v=a$

Explanation:

Step1: Isolate the term with $a$

Subtract $v$ from both sides of the equation.
$f - v = v + at - v$
Simplify to get: $f - v = at$

Step2: Solve for $a$

Divide both sides by $t$.
$\frac{f - v}{t} = \frac{at}{t}$
Simplify to get: $\frac{f - v}{t} = a$

Answer:

$\frac{f - v}{t} = a$ (the first option)