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AP EAMCET202421 May 2024Evening ShiftPhysicsMotion in One DimensionActual

The velocity of a particle is given by the, equation v(x)=3 x^2-4 x , where ' x ' is the distance covered by the particle. The expression for its acceleration is

Options

  1. A(6 x-4)
  2. B6 (3 x^2-4 x )
  3. C(3 x^2-4 x )(6 x-4)
  4. D(6 x-4)^2

Correct answer

C. (3 x^2-4 x )(6 x-4)

Step-by-step solution

Velocity, v=3 x^2-4 x Acceleration, a=v d v d x = (3 x^2-4 x ) d d x (3 x^2-4 x )= (3 x^2-4 x )(6 x-4)

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