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(D) The average acceleration $a_{av}$ is defined as the total change in velocity divided by the total time interval.By definition,the change in veloci

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$\frac{\int_{t_1}^{t_2} a dt}{t_2-t_1}$

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(D) The average acceleration $a_{av}$ is defined as the total change in velocity divided by the total time interval.By definition,the change in velocity $\Delta v$ over a time interval from $t_1$ to $t_2$ is given by the integral of acceleration with respect to time: $\Delta v = \int_{t_1}^{t_2} a dt$.The time interval is $\Delta t = t_2 - t_1$.Therefore,the average acceleration is $a_{av} = \frac{\Delta v}{\Delta t} = \frac{\int_{t_1}^{t_2} a dt}{t_2 - t_1}$.

$A$ body is moving with variable acceleration $a$ along a straight line. The average acceleration of the body in the time interval $t_1$ to $t_2$ is

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