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A body moves 6m north 8m east and 10m vertically upwards the resultant displacement from its initial position is?
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A body moves 6m north 8m east and 10m vertically upwards the resultant...
Calculating the Resultant Displacement
- To find the resultant displacement, we need to calculate the total displacement in both the horizontal and vertical directions.
- Given that the body moves 6m north, 8m east, and 10m vertically upwards, we can break down the displacements into their respective components.

Horizontal Displacement:
- The body moves 6m north and 8m east, therefore the horizontal displacement can be calculated using the Pythagorean theorem.
- Horizontal displacement = √(6^2 + 8^2) = √(36 + 64) = √100 = 10m

Vertical Displacement:
- The body moves 10m vertically upwards, which gives us the vertical displacement directly.

Resultant Displacement:
- Now, we can find the resultant displacement by using the horizontal and vertical displacements as the sides of a right-angled triangle.
- Resultant displacement = √(horizontal displacement^2 + vertical displacement^2)
- Resultant displacement = √(10^2 + 10^2) = √(100 + 100) = √200 = 14.14m
Therefore, the resultant displacement from the body's initial position is 14.14m in a direction that is a combination of north, east, and vertically upwards.
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A body moves 6m north 8m east and 10m vertically upwards the resultant displacement from its initial position is?
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