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JEE Main2006PhysicsMotion in One DimensionActual

A particle located at x=0 at time t=0 , starts moving along the positive x -direction with a velocity ' v ' that varies as v= x . The displacement of the particle varies with time as

Options

  1. At^3
  2. Bt^2
  3. Ct
  4. Dt^ 1 / 2

Correct answer

B. t^2

Step-by-step solution

d x dt = dx x = dt x t ^2

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