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NEET2010PhysicsMotion in One DimensionActual

The position of a particle moving in the x-y plane at any time t is given by, x= (3 t^3-6 t ) metres; y= (t^2-2 t ) metres. Select the correct statement.

Options

  1. Aacceleration is zero at t=0
  2. Bvelocity is zero at t=0
  3. Cvelocity is zero at t=1 ~s
  4. Dvelocity and acceleration of the particle are never zero.

Correct answer

C. velocity is zero at t=1 ~s

Step-by-step solution

aligned & .x=3 t^2-6 t, So (velocity) )_x= d x d t =6 t-6 ; & y=t^2-2 t aligned So, ( velocity )_y= d y d t =2 t-2 At time t=1 , = d x d t =6 1-6=0 and d y d t =2 1-2=0 .

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