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 $a$?
options:
$\frac{f + v}{t} = a$
$\frac{f}{t} - v = a$
$\frac{f - v}{t} = a$
$\frac{f}{t} + v = a$

Explanation:

Step1: Start with the original equation

We have the equation \( f = v + at \). Our goal is to solve for \( a \). First, we need to isolate the term containing \( a \). To do this, we subtract \( v \) from both sides of the equation.

$$ f - v = at $$

Step2: Solve for \( a \)

Now that we have \( at \) on the right - hand side, we can solve for \( a \) by dividing both sides of the equation by \( t \) (assuming \( t
eq0 \)).

$$ \frac{f - v}{t}=a $$

Answer:

\(\frac{f - v}{t}=a\) (corresponding to the option \(\frac{f - v}{t}=a\))