A person moves north and then east and then southwest. His displacement from the origin position will be?
Step 1: Given data
First, the person moves in the north direction for
Then, the person moves in the east direction for
Then, the person moves in the southeast direction for
Step 2: Formula used
Displacement is the change in positions and can be written as
Step 3: Solution
First, the person moves toward north.
Now, the person moves toward east.
Now, the person moving toward the southwest
[Here, the horizontal component of southwest , the vertical component of southwest ]
Now, displacement is
[Here, displacement is found by vector sum because it is a vector quantity]
Hence, the displacement is of magnitude in the west direction.