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

  • A

    $\frac{a\left[t_2+t_1\right]}{2}$

  • B

    $\frac{a\left[t_2-t_1\right]}{2}$

  • C

    $\frac{\int \limits_1^{t_2} a d t}{t_2+t_1}$

  • D

    $\frac{\int \limits_{t_1}^{t_2} a d t}{t_2-t_1}$

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