The resistance to motion of a good bicycle on smooth pavement is nearly all due to aerodynamic drag. Assume that the total weight of rider and bike is \(210 \mathrm{lbf}\). The frontal area measured from a photograph is \(A=5 \mathrm{ft}^{2}\). Experiments on a hill, where the road grade is 9 percent, show that terminal speed is \(V_{t}=50 \mathrm{ft} / \mathrm{s}\). From these data, the drag coefficient is estimated as \(C_{D}=1.25\). Verify this calculation of drag coefficient. Estimate the distance needed for the bike and rider to decelerate from \(50 \mathrm{ft} / \mathrm{s}\) to \(30 \mathrm{ft} / \mathrm{s}\) while coasting after reaching level road.