The position x of a particle with respect to time t along x-axis is given by x=9 t^ 2 -t^…

Physics · JEE Main · NTA ExamsKinematics

The position x of a particle with respect to time t along x-axis is given by \(x=9 t^{2}-t^{3}\), where x is in metre and t is in second. What will be the position of this particle when it achieves maximum speed along the +x direction?
  1. 32 m
  2. 54 m
  3. 81 m
  4. 24 m

Answer

(B) 54 m

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