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

Explanation:

Step1: Isolate the term with \( t \)

Given \( f = v+at \), subtract \( v \) from both sides:
\( f - v=at \)

Step2: Solve for \( t \)

Divide both sides by \( a \):
\( t=\frac{f - v}{a} \)

Answer:

\( t=\frac{f - v}{a} \) (the fourth option in the given choices)