Physics 9702 · AS & A Level · Errors and uncertainties

Errors and uncertainties — practice question

To find the acceleration of free fall $g$, an experiment measured the time $t$ for a ball to drop a distance $s$. The estimated uncertainty in measuring $s$ is $2\%$. The estimated uncertainty in measuring $t$ is $3\%$. The value of $g$ is found from the relation $g = \frac{2s}{t^2}$. What is the uncertainty in the calculated value of $g$?

  • A$1\%$
  • B$5\%$
  • C$8\%$
  • D$11\%$

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