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JEE Main2010PhysicsMotion in Two DimensionsActual

A particle is moving with velocity v = K ( y i + x j ) , where K is a constant. The general equation for its path is

Options

  1. Ay=x^2+ constant
  2. By^2=x+ constant
  3. Cx y= constant
  4. Dy^2=x^2+ constant

Correct answer

D. y^2=x^2+ constant

Step-by-step solution

v =K y i +K x j d x d t =K y, d y d t =K x d y d x = d y d t d t d x = K x K y y d y=x d xy^2=x^2+c

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