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MHT CET2009MathematicsDifferentiation

The equation of motion of a particle moving along a straight line is s=2 t³-9 t²+12 t , where the units of s and t are centimetre and second. The acceleration of the particle will be zero after

Options

  1. A3 2 ~s
  2. B2 3 ~s
  3. C1 2 ~s
  4. D1 ~s

Correct answer

A. 3 2 ~s

Step-by-step solution

d s d t =6 t²-18 t+12 Again, d² s d t² =12 t-18= acceleration If acceleration becomes zero, then aligned 0 &=12 t-18 t &= 3 2 ~s aligned Hence, acceleration will be zero after 3 2 ~s

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