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BITSAT2009PhysicsMotion in One DimensionActual

A particle starts moving rectilinearly at time t =0 such that its velocity v changes with time t according to the equation v=t²-t where t is in seconds and v is in m / s . Find the time interval for which the particle retards.

Options

  1. A1 2 < t <1
  2. B1 2 >t>1
  3. C1 4 < t <1
  4. D1 2

Correct answer

A. 1 2 < t <1

Step-by-step solution

Acceleration of the particle a=2 t-1 The particle retards when acceleration is opposite to velocity. a v 0 t 1 . This is not possible or 2 t -1>0 & t -1<0 1 / 2< t <1

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