An object 3m to the west and 1 m to the north of the origin. It then moves to the new position 5m to the east and 2m to the south. What is the final position relative to the initial position
To find the final position relative to the initial position, we need to calculate the displacement.
The initial position is at (0, 0) - the origin.
The first position is 3m to the west and 1m to the north. This can be represented as (-3, 1).
The final position is 5m to the east and 2m to the south. This can be represented as (5, -2).
To find the displacement, we subtract the initial position from the final position:
Displacement = (5, -2) - (-3, 1)
= (5 - (-3), -2 - 1)
= (5 + 3, -2 - 1)
= (8, -3)
Therefore, the final position relative to the initial position is 8m to the east and 3m to the south from the origin.