Car A is spotted passing car B just east of Westerville at exactly 2:00 p.m. The same two cars are then spotted next to each other just west of Easterville at exactly 3:00 p.m. If car \(B\) had a constant velocity of \(30 \mathrm{~m} / \mathrm{s}\) eastward for the whole trip, defend the proposition that car A had to have a velocity of \(30 \mathrm{~m} / \mathrm{s}\) castward at some instant during that hour.