Two locomotives, A and B, travel directly toward each other on a straight, level track at constant speeds of \(30\text{ m/s}\) and \(20\text{ m/s}\), respectively. When the locomotives are separated by a distance of \(375\text{ m}\), both engineers observe each other and, after a reaction time delay of \(1.0\text{ s}\), simultaneously apply emergency brakes that provide the same constant deceleration magnitude \(a\). What is the minimum magnitude of deceleration \(a\) required for both locomotives to come to a complete stop without colliding?