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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}{t}-v = a) (\frac{f + v}{t}=a) (\frac{f - v}{t}=a) (\frac{f}{t}+v = a)
Step1: Isolate the term with \(a\)
Subtract \(v\) from both sides of \(f = v+at\), we get \(f - v=at\).
Step2: Solve for \(a\)
Divide both sides of \(f - v = at\) by \(t\) (\(t
eq0\)), we have \(a=\frac{f - v}{t}\).
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The equivalent equation solved for \(a\) is \(\frac{f - v}{t}=a\), which is the third - option in the given choices.