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AP EAMCET202422 May 2024Evening ShiftPhysicsMotion in One DimensionActual

A particle starts from rest and moves in a straight line. It travels a distance 2 L with uniform acceleration and then moves with a constant velocity a further distance of L. Finally, it comes to rest after moving a distance of 3L under uniform retardation. Then the ratio of average speed to the maximum speed ( V V_m ) of the particle is

Options

  1. A6 11
  2. B7 11
  3. C5 11
  4. D2 11

Correct answer

A. 6 11

Step-by-step solution

The v -t graph of the particle is aligned & 2 L= 1 2 v_ t₁ t₁= 4 L v_ & L=v_ t₂ t₂= L v_ aligned aligned & 3 ~L = 1 2 v _ t ₃ t ₃= 6 ~L v _ & Average speed, v = Total distance Total time & v = 2 ~L + L +3 ~L t ₁+ t ₂+ t ₃ = ( 6 ~L 11 ~L ) v _ & v v _ = 6 11 aligned

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