Starting from the origin at time $t=0,$ with initial velocity $5 \hat{ j }\, ms ^{-1},$ a particle moves in the $x-y$ plane with a constant acceleration of $(10 \hat{ i }+4 \hat{ j })\, ms ^{-2}$. At time $t$, its coordinates are $\left(20\, m , y _{0}\, m \right) .$ The values of $t$ and $y _{0},$ are respectively

  • [JEE MAIN 2020]
  • A

    $4\, s$ and $52\, m$

  • B

    $2\, s$ and $24\, m$

  • C

    $2\,s$ and $18\, m$

  • D

    $5\, s$ and $25\, m$

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  • [AIIMS 1998]

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