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(A) The average acceleration over a time interval $\Delta t$ is defined as $\vec{a}_{avg} = \frac{\Delta \vec{v}}{\Delta t}$.The instantaneous acceler

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When the acceleration is constant.

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(A) The average acceleration over a time interval $\Delta t$ is defined as $\vec{a}_{avg} = \frac{\Delta \vec{v}}{\Delta t}$.The instantaneous acceleration is defined as $\vec{a} = \lim_{\Delta t 	o 0} \frac{\Delta \vec{v}}{\Delta t} = \frac{d\vec{v}}{dt}$.If the acceleration is constant,then the rate of change of velocity is uniform at every instant.Therefore,the average acceleration over any time interval is equal to the instantaneous acceleration at any point within that interval.

$t (s)$	$0$	$1$	$2$	$3$
$x (m)$	$-2$	$0$	$6$	$16$

When are the average and instantaneous accelerations equal?

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