Final answer:
The average velocity of the man during his entire motion is -0.5 m/s.
Step-by-step explanation:
In order to calculate the average velocity of the man during his entire motion, we need to first determine the total displacement and the total time taken. The man walks south for 30 seconds at a speed of 3 m/s, resulting in a displacement of 3 m/s * 30 s = -90 m. He then walks north for 30 seconds and covers a distance of 60 meters. Since the northward direction is opposite to the southward direction, we consider the displacement as positive 60 m. The total displacement is (-90 m) + 60 m = -30 m.
The total time taken is 30 seconds + 30 seconds = 60 seconds.
The average velocity is given by displacement / time, which is -30 m / 60 s = -0.5 m/s.
Therefore, the average velocity of the man during his entire motion is -0.5 m/s.