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AP EAMCET2009MathematicsFunctions

The velocity of a particle which starts from rest is given by the following table. The total distance travelled (in metre) by the particles in 10 ~s , using Trapezoidal rule is given by

Options

  1. A113
  2. B226
  3. C143
  4. D246

Correct answer

B. 226

Step-by-step solution

Given table is Here, h= 10-0 5 =2 aligned & Total distance = h 2 [f (x₀ )+2 f (x₁ )+f (x₂ ) . . & . .+f (x₃ )+f (x₄ ) +f (x₅ ) ] & = 2 2 [0+2(12+16+20+35)+60] & =166+60=226 & aligned

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