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NEET2025PhysicsMotion in One DimensionActual

In some appropriate units, time (t) and position ( x ) relation of a moving particle is given by t=x^2+x . The acceleration of the particle is

Options

  1. A- 2 (x+2)^3
  2. B- 2 (2 x+1)^3
  3. C+ 2 (x+1)^3
  4. D+ 2 2 x+1

Correct answer

B. - 2 (2 x+1)^3

Step-by-step solution

aligned & t=x^2+x & dt dx = d dx [ x ^2+ x ] & 1 v =2 x +1 aligned v=(2 x+1)⁻¹...(i) aligned a & = v d v d x =(2 x+1)⁻¹ [-1(2 x+1)⁻² 2 ] a & =-1(2 x+1)⁻³ 2 a & =-2(2 x+1)⁻³ & =- 2 (2 x+1)^3 aligned

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