Uncertainty of Coefficient#

The drag force on an object of interest can be accurately modelled as \(\vec{D}\) = -\(b\vec{v}\) such that its terminal velocity in free fall is given by \(v_T\) = \(mg/b\). Lorenzo measures \(m\) = 58 \(\pm\) 2 \(g\) and \(v_T\) = 1.9 \(\pm\) 0.2 \(m/s\). Based on these measurements Lorenzo determines the drag coefficient to be \(b\) = 0.33 \(kg/s\).

Part 1#

What is the uncertainty in your determination of \(b\)?

Answer Section#

  • \(\pm\) 0.14 \(kg/s\)

  • \(\pm\) 0.05 \(kg/s\)

  • \(\pm\) 0.01 \(kg/s\)

  • \(\pm\) 0.46 \(kg/s\)


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