The bat produces a sound that travels towards the wall with a velocity of 330 m/s. When it is 3 m away from the wall, the sound wave hits the wall and reflects back towards the bat. The bat then hears the reflected sound. Let's calculate the time it takes for the sound to travel from the bat to the wall and back to the bat:
Time taken for sound to travel from bat to wall = distance/velocity
t1 = 3/330 = 0.0091 seconds
Since the sound wave has to travel the same distance back to reach the bat, the total time taken for the bat to hear the reflected sound is:
Total time = 2*t1 = 0.0182 seconds
In this time, the bat travels a distance equal to its velocity multiplied by the time:
Distance = velocity*time
d = 30*0.0182 = 0.546 meters
Therefore, the distance that the bat has moved when it hears the reflected sound is approximately 0.5 meters, which is option (1).