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When person moves in the coordinate system from A (0, 0) to B (5, 10), to C (8, 6), what is the displacement covered?
  • a)
    10 units
  • b)
    5 units
  • c)
    7 units
  • d)
    15 units
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
When person moves in the coordinate system from A (0, 0) to B (5, 10),...
The displacement is the distance between the final and the initial location. Here the final location is C and the initial is A. We can solve this by using distance between two points method. AC = Square root ((82 – 02) + (62 – 02)) = Square root (100) = 10 units.
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Most Upvoted Answer
When person moves in the coordinate system from A (0, 0) to B (5, 10),...
Displacement Calculation:

Step 1: Calculate the displacement between points A and B
- Using the distance formula:
- √((x2 - x1)^2 + (y2 - y1)^2)
- Substituting the values:
- √((5 - 0)^2 + (10 - 0)^2)
- √(5^2 + 10^2)
- √(25 + 100)
- √125
- ≈ 11.18 units

Step 2: Calculate the displacement between points B and C
- Using the distance formula:
- √((x2 - x1)^2 + (y2 - y1)^2)
- Substituting the values:
- √((8 - 5)^2 + (6 - 10)^2)
- √(3^2 + (-4)^2)
- √(9 + 16)
- √25
- 5 units

Step 3: Total displacement
- Adding the displacements between A and B, and B and C:
- 11.18 units + 5 units = 16.18 units
Since the question asks for the displacement covered when moving from A to C, the correct answer is option 'A) 10 units'. This is the total displacement covered in the journey from point A to point C in the coordinate system.
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When person moves in the coordinate system from A (0, 0) to B (5, 10), to C (8, 6), what is the displacement covered?a)10 unitsb)5 unitsc)7 unitsd)15 unitsCorrect answer is option 'A'. Can you explain this answer?
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