The co-ordinates of a moving particle at any time 't' are given by x= t^ 3 and y= t^ 3 …

Physics · NEET · NTA ExamsKinematics

The co-ordinates of a moving particle at any time 't' are given by \(x=\pi t^{3}\) and \(y=\beta t^{3}\). The speed of the particle at time t is given by        
  1. \(\sqrt{a^{2}+\beta^{2}}\)
  2. \(t^{2} \sqrt{x^{2}+\beta^{2}}\)
  3. \(3 t \sqrt{x^{2}+\beta^{2}}\)
  4. \(3 t^{2} \sqrt{a^{2}+\beta^{2}}\)

Answer

(D) 3 t^ 2 a^ 2 + ^ 2

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