If impulse $I$ varies with time $t$ as $I\left( kg ms ^{-1}\right)=20 f^2-40 t$. The change in momentum is minimum at ........... $s$

  • A

    $t=2$

  • B

    $t=1$

  • C

    $t=\frac{1}{2}$

  • D

    $t=\frac{3}{2}$

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  • [AIPMT 1998]