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J & K CET Medical J & K - CET Medical Solved Paper-2013

  • question_answer
    The velocity vector of the motion described by the position vector of a particle,\[r=2ti+{{t}^{2}}\hat{j}\]is given by

    A)  \[V=2\hat{i}+2t\,\hat{j}\]

    B)  \[V=2t\,\hat{i}+2t\,\hat{j}\]

    C)  \[V=t\,\hat{i}+{{t}^{2}}\,\hat{j}\]

    D)  \[V=2\,\hat{i}+{{t}^{2}}\,\hat{j}\]

    Correct Answer: A

    Solution :

     Given \[r=2t\,\hat{i}+{{t}^{2}}\hat{j}\] Velocity vector\[v=\frac{dr}{dt}\]and using \[\frac{d}{dx}{{x}^{n}}=n{{x}^{n-1}}\] We have, \[\frac{dr}{dt}=2\hat{i}+2t\,\hat{j}\]


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