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AP EAMCET202125 Aug 2021Morning ShiftMathematicsApplication of DerivativesActual

A particle moves along a straight line according to the law s= 1 3 t^3-3 t^2+9 t+17 , where s is in metre and t is in second. Its velocity decreases in

Options

  1. A0 < t < 5
  2. B0 < t < 3
  3. Ct>5
  4. Dt>3

Correct answer

B. 0 < t < 3

Step-by-step solution

We have, aligned & S= 1 3 t^3-3 t^2+9 t+17 & V= d s d t =t^2-6 t+9 & V=t^2-6 t+9 & d V d t =2 t-6 aligned Velocity is decreasing, if d V d t 0] array

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