What are the variables in the formula for average acceleration?

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The formula for average acceleration is defined as (v_final - v_initial) / (t_initial - t_final). The discussion clarifies that v_initial and v_final refer to instantaneous velocities, not average velocities. Instantaneous velocities are determined by the second derivative of a function at specific points. This distinction is crucial for accurately calculating average acceleration in physics. Understanding these variables is essential for applying the formula correctly.
MienTommy
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The formula for average acceleration is (v_final - v_initial) / (t_initial - t_final), I was wondering if v_initial and _final are the instantaneous velocities (found by second derivative of a function) at those points or are they the average velocities (found by change in distance over time)? It has been a while since I've done physics.
 
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Instantaneous velocities.
 
They are instantaneous velocities, yes.
 

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