A lift performs the first part of its ascent with uniform acceleration $a$ and the remaining with uniform retardation $2a$. If $t$ is the time of ascent, find the depth of the shaft.

  • A

    $\frac{a t^2}{4}$

  • B

    $\frac{a t^2}{3}$

  • C

    $\frac{a t^2}{2}$

  • D

    $\frac{a t^2}{8}$

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