The average acceleration of an object in motion is calculated using the formula \( a=\dfrac{v_f-v_i}{t} \), where \( v_i \) is the initial velocity and \( v_f\) is the final velocity of an object traveling over the course of time \(t\).

What is \( v_i \text{ in terms of } v_f, a, \text{ and }t\)?

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$$ a=\frac{v_f-v_i}{t} $$ $$ at=v_f-v_i $$ $$ at-v_f=-v_i$$ $$ -at+v_f=v_i $$ $$ \boxed{v_i=v_f-at} $$