A women walks 2m in the direction 60degrees north of east. find her final displacement.
To find the final displacement of the woman, we can break down her motion into its x and y components.
Given that she walks 2m in the direction 60 degrees north of east, we can find the x and y components using trigonometry.
The x component is given by:
x = distance * cos(angle)
x = 2m * cos(60°)
x = 2m * 0.5 = 1m
The y component is given by:
y = distance * sin(angle)
y = 2m * sin(60°)
y = 2m * √3/2 = √3 m
Now that we have the x and y components, we can find the final displacement using the Pythagorean theorem.
The final displacement (D) is given by:
D = sqrt(x^2 + y^2)
D = sqrt(1^2 + (√3)^2)
D = sqrt(1 + 3)
D = sqrt(4) = 2m
Therefore, the woman's final displacement is 2m.