Position vector of a particle moving in x-y plane at time t is: r =a(1- t) i +a t j The…

Physics · JEE Advanced · NTA ExamsKinematics

Position vector of a particle moving in x-y plane at time t is: \(\overrightarrow{\mathrm{r}}=a(1-\cos \omega t) \hat{\mathrm{i}}+a \sin \omega t \hat{\mathrm{j}}\) The path of the particle is
  1. a circle of radius a and centre at (a, 0)
  2. a circle of radius a and centre at (0, 0)
  3. an ellipse
  4. neither a circle nor an ellipse

Answer

(A) a circle of radius a and centre at (a, 0)

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