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For questions about problems related to physics that involve evaluating integrals. Purely mathematical questions should be asked at math.SE.
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What does the area under an acceleration-displacement curve represent?
Considering the equation where,
$$
\frac {1}{2} \left (v^2_f - v^2_i \right) = \int_0^s ads\,
$$
What does the left-hand side of the equation actually represent? Is there an intuitive explanation si …