A particle has initial velocity $10\,\, m/s$. It moves due to constant retarding force along the line of velocity which produces a retardation of $5\,\, m/s^2$. Then

  • A

    the maximum displacement in the direction of initial velocity is $10 \,\,m$

  • B

    the distance travelled in first $3$ seconds is $7.5 \,\,m$

  • C

    the distance travelled in first $3$ seconds is $12.5\,\, m$

  • D

    Both $(A)$ and $(C)$

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