Final answer:
The man's final position is 4 metres east and he traveled a distance of 8 metres.
Step-by-step explanation:
To determine the final position and distance traveled, we can use the concept of displacement. Displacement is a vector quantity that represents the change in position from the starting point to the final point. In this case, the man moves 6 metres east and then 2 metres west.
When he moves 6 metres east, we can represent this as a positive displacement of +6 metres. When he moves 2 metres west, we can represent this as a negative displacement of -2 metres.
To find the final position, we can add the displacements together. +6 metres + (-2 metres) = +4 metres. So, his final position is 4 metres east.
To find the distance traveled, we can add the magnitudes of the displacements. The magnitude of +6 metres is 6 metres and the magnitude of -2 metres is 2 metres. So, the distance traveled is 6 metres + 2 metres = 8 metres.