On the Milford Trek in New Zealand, there is a pass with a cliff known as the " 12 second drop" for the time it takes a rock to hit the ground below from the pass. Estimate the height of the pass assuming that you throw a \(5 \mathrm{~cm}\) diameter rock that weighs \(200 \mathrm{~g}\) over the edge, for the case of

(a) no air resistance

(b) a drag force given by the expression \(F_{D}=K V\), where \(F_{D}\) is the force in \(\mathrm{N}, V\) is the instantaneous velocity in \(\mathrm{m} / \mathrm{s}\) and \(K=0.01\). Explain why there is a difference in the calculated height.