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The rate of change of velocity of a body per unit of time.

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Expressing average velocity in terms of acceleration

For example, $$v_{\text{avg}} = \frac{x(t)-x_0}{t}$$ I have not, however seen it expressed in terms of acceleration. Would it be incorrect to say $$v_{\text{avg}}= \bigl(a(t)-a_0\bigr)\times t$$ …
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