A boy travels 8km north, 3km east and then 5km south. Find the magnitude of displacement of the boy
12km north then16KM three hours what is displacement?
To find the magnitude of displacement, we need to find the straight-line distance from the starting point to the final position of the boy. We can use the Pythagorean theorem to solve this problem.
Step 1: Visualize the path of the boy's travel. Draw a diagram or visualize it in your mind.
The boy travels 8km north, then 3km east, and finally 5km south.
Step 2: Break down the displacements into their components.
The north displacement is 8km and can be represented as (0, 8). The east displacement is 3km and can be represented as (3, 0). The south displacement is 5km and can be represented as (0, -5).
Step 3: Find the resultant displacement by adding the components.
To find the resultant displacement, simply add the north and east displacements and subtract the south displacement.
Resultant displacement = (3, 8) - (0, 5) = (3, 3)
Step 4: Calculate the magnitude of the resultant displacement.
The magnitude of the displacement can be calculated using the Pythagorean theorem: magnitude = √(x^2 + y^2).
In this case, x = 3 and y = 3.
Magnitude = √(3^2 + 3^2) = √(9 + 9) = √18 ≈ 4.24 km.
Therefore, the magnitude of the displacement of the boy is approximately 4.24 km.
Net north: 3KM
net ease 3KM
direction=NE
magnitude: sqrt(3^2+3^2)