imo class 12 application of integrals

For a physics demonstration at Yudgam Foundation, a student tracks a particle whose velocity curve forms a region bounded by y = |x − 3| and the x-axis from x = 0 to x = 6. What is the total distance (area)?

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For a physics demonstration at Yudgam Foundation, a student tracks a particle whose velocity curve forms a region bounded by y = |x − 3| and the x-axis from x = 0 to x = 6. What is the total distance (area)?

  • A. 9
  • B. 18
  • C. 6
  • D. 4.5

Answer: A) 9

Explanation: Graph forms two right triangles of base 3 and height 3. Area = 2 × (1/2 × 3 × 3) = 9 units.

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