Final answer:
The magnitude of displacement for a person going 200 m east and then 220 m north is approximately 297.33 m, calculated using the Pythagorean theorem.
Step-by-step explanation:
The question asks about calculating the magnitude of displacement when a person moves 200 m east followed by 220 m north. Displacement is a vector quantity that not only considers distance but also direction. To calculate the resultant displacement, we can use the Pythagorean theorem since the movement eastward and northward are at right angles to each other.
The formula to calculate the magnitude of displacement (D) is:
D = √(x^2 + y^2)
Where x and y are the components of displacement. For this problem:
- x = 200 m (eastward movement)
- y = 220 m (northward movement)
Substituting these values, we get:
D = √(200^2 + 220^2) = √(40000 + 48400) = √(88400)
This simplifies to an approximate displacement of:
D ≈ 297.33 m