AIIMS AIIMS Solved Paper-2009

  • question_answer
    The displacement of a particle, starting from rest (at t = 0) is given by \[cs=6{{t}^{2}}-{{t}^{3}}\] The rime in seconds at which the particle will attain zero velocity again is

    A) 2       

    B)                                       4                             

    C) 6                             

    D)       8

    Correct Answer: B

    Solution :

    Given \[s=6{{t}^{2}}-{{t}^{3}}\] Velocity \[v=\frac{ds}{dt}=12t-3{{t}^{2}}\] If velocity is zero, then \[0=12t-3{{t}^{2}}\] \[\Rightarrow \]      \[t=4\,s\]


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