If your accelerator sticks, shifting to neutral and gently applying the brakes allows you to safely control the vehicle. By disconnecting the engine from the wheels by shifting to neutral, you prevent further acceleration, and can use brakes more effectively. This method avoids any engine damage that could be caused by turning off the car abruptly at high speeds. It ensures you retain steering control, allowing you to safely pull over or stop the car without causing panic or endangering yourself or others.