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 $t$? $\bigcirc$ $t = \frac{f - v}{a}$ $\bigcirc$ $t = \frac{f - a}{v}$ $\bigcirc$ $t = a(f - v)$ $\bigcirc$ $t = v(f - a)$

Explanation:

Step1: Subtract \( v \) from both sides

We start with the equation \( f = v + at \). To isolate the term with \( t \), we subtract \( v \) from both sides. This gives us \( f - v = at \).

Step2: Divide both sides by \( a \)

Now that we have \( f - v = at \), we want to solve for \( t \). We divide both sides of the equation by \( a \) (assuming \( a
eq 0 \)). This gives us \( t=\frac{f - v}{a} \).

Answer:

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