A man moves due north 6km then he moves 4km due west and then moves 4km southwards finally he moves 4km eastwards.Find his: total distance and displacement
north = 6 - 4 = 2 and distance 10
west 4-4 = 0 and distance 8
so
distance = 18 km
displacement = 2 North
To find the total distance traveled, we need to add up all the distances traveled in each direction.
1. The man moves 6km due north.
2. Then he moves 4km due west.
3. Next, he moves 4km southwards.
4. Finally, he moves 4km eastwards.
Total Distance = 6km + 4km + 4km + 4km = 18km
To find the displacement, we need to find the straight-line distance and direction from the starting point to the final position.
1. The man moves 6km due north.
2. Then he moves 4km due west, which will not change the north-south position.
3. Next, he moves 4km southwards, which negates the initial north movement.
4. Finally, he moves 4km eastwards, which brings him back to the initial starting point.
Since the final position is the same as the initial position, the displacement is 0km.