A train moves from rest with a uniform acceleration $a$ . Attaining a maximum speed $v$ it  starts moving with uniform retardation $a$ . Assuming $s$ = total distance covered in the  unidirectional motion of the train, its total time of journey and maximum speed are  (respectively).

  • A

    $\sqrt {\frac{s}{a}},\sqrt {as}$

  • B

    $2 \sqrt {\frac{s}{a}},\sqrt {as}$

  • C

    $\sqrt {\frac{2s}{a}},\sqrt {as}$

  • D

    $\frac{1}{2} \sqrt {\frac{s}{a}},\sqrt {\frac{as}{2}}$

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