vicky walks 8km east, the 5km south and final 6km west. find her final displacement
d=sqrt{(8-6)²+5²}= 5.4 m
54
To find Vicky's final displacement, we need to determine the net distance and direction from the starting point to the final position.
Step 1: Calculate the total east-west displacement:
Vicky walks 8 km east and then 6 km west. The net displacement in the east-west direction would be 8 km - 6 km = 2 km west.
Step 2: Calculate the total north-south displacement:
Vicky walks 5 km south.
Step 3: Combine the east-west and north-south displacement:
Since Vicky walks south, the displacement would be in the south direction. Therefore, her final displacement is 2 km west and 5 km south.
So, Vicky's final displacement is 2 km west and 5 km south.
To find Vicky's final displacement, we need to determine the horizontal and vertical components separately.
First, let's consider the horizontal displacement. Vicky walks 8 km east and then 6 km west. The total horizontal displacement can be found by subtracting the distance traveled west from the distance traveled east:
Horizontal displacement = 8 km east - 6 km west = 2 km east
Next, let's consider the vertical displacement. Vicky walks 5 km south, which means she is moving in the negative vertical direction.
Vertical displacement = -5 km
Now, we can find the final displacement by combining the horizontal and vertical displacement using vector addition.
Displacement = √((horizontal displacement)^2 + (vertical displacement)^2)
Displacement = √((2 km east)^2 + (-5 km)^2)
Displacement = √(4 km^2 + 25 km^2)
Displacement = √(29 km^2)
Displacement ≈ 5.385 km
Therefore, Vicky's final displacement is approximately 5.385 km.