The distance $s$ travelled by a particle in time $t$ is $s=u t-\frac{1}{2} \,g t^{2}$. The initial velocity of the particle was measured to be $u=1.11 \pm 0.01 \,m / s$ and the time interval of the experiment was $t=1.01 \pm 0.1 \,s$. The acceleration was taken to be $g=9.8 \pm 0.1 \,m / s ^{2}$. With these measurements, the student estimates the total distance travelled. How should the student report the result?

  • [KVPY 2017]
  • A

    $1121 \pm 0.1 \,m$

  • B

    $11 \pm 0.1 \,m$

  • C

    $112 \pm 0.07 \,m$

  • D

    $11 \pm 0.07 \,m$

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