The design model for a new ship has a mass of \(10 \mathrm{~kg}\) and is tested in an experimental towing tank to determine its resistance to motion through the water at various speeds. The test results are plotted on the accompanying graph, and the resistance \(R\) may be closely approximated by the dashed parabolic curve shown. If the model is released when it has a speed of \(2 \mathrm{~m} / \mathrm{s}\), determine the time \(t\) required for it to reduce its speed to \(1 \mathrm{~m} / \mathrm{s}\) and the corresponding travel distance \(x\).

R, N 2 8 1 v, m/s 2