This is quite an interesting problem, in the normal world of computers we would solve this via threading. However as you are running without an OS we have to do one of two things, implement coroutines (fake threading without an OS) or use asynchronous code and interrupts.
My understanding is that you print something when an object first comes into the way of your sensor, as the arduino uno as opposed to the due is not easy to implement coroutines on we shall try the interrupt route.
First you will likely be interested in this library http://playground.arduino.cc/Code/Timer1
It allows you to add an interrupt service routine to run on a timer. Use the attachInterrupt(function, period) function in the library for this.
In your interrupt service routine you will want to check the sensor, set a variable to say how long ago since it was last triggered and print the message if appropriate. This means your main loop is completely free to run other code and will not block your other sensors.
For example:
void TimFun()
{
static int LastRead;
if(LastRead && (0 == analogRead(sensor1))
{
Serial.println("SensorTrip");
}
LastRead = analogRead(sensor1);
}
void loop()
{
// Do other stuff here
}
void setup()
{
Timer1.initialize(100000);
Timer1.attachInterrupt(TimFun);
// Rest of setup Here
}