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

Explanation:

Step1: Subtract \(v\) from both sides

Given \(f = v+at\), subtract \(v\) to get \(f - v=at\).

Step2: Divide both sides by \(a\)

Divide \(f - v = at\) by \(a\) (assuming \(a
eq0\)), so \(t=\frac{f - v}{a}\).

Answer:

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