A man runs 6km directly east until he gets to a T junction where he turns around and runs another 8km directly west.determine the total displacement of the man

To determine the total displacement of the man, we need to find the net distance and direction from his starting point to his final position.

First, we determine the net distance. The man runs 6km east and then 8km west. The 8km west cancel out 8km of the 6km east. Therefore, the net distance is 6km - 8km = -2km.

Next, we determine the direction. Since the man ran east and then turned around and ran west, his final position is to the west of his starting point. Therefore, the direction is west.

Putting it all together, the total displacement of the man is -2km west.