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JEE Main2007PhysicsMotion in One DimensionActual

The velocity of a particle is v = v ₀+ gt + ft ^2 . If its position is x =0 at t =0 , then its displacement after unit time (t=1) is

Options

  1. Av₀+2 g+3 f
  2. Bv₀+g / 2+f / 3
  3. Cv₀+g+f
  4. Dv₀+g / 2+f

Correct answer

B. v₀+g / 2+f / 3

Step-by-step solution

₀^x d x= ₀^1 (V₀+g t+ ft ^2 ) d t x=v₀+g ( 1 2 )+f ( 1 3 )

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