CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2005

  • question_answer
    If a particle moves such that the displacement is proportional to the square of the velocity acquired, then its acceleration is:

    A)  proportional to\[{{s}^{2}}\]

    B)  proportional to \[\frac{1}{{{s}^{2}}}\].

    C)  proportional to \[s\].

    D)  proportional to\[\frac{1}{s}\].

    E)  a constant

    Correct Answer: E

    Solution :

    According to question, \[s\propto {{v}^{2}}\] \[\Rightarrow \]               \[v=k\sqrt{s}\] Now, acceleration \[=\frac{dv}{dt}=k\frac{1}{2\sqrt{s}}.\frac{ds}{dt}\] \[=k\frac{1}{2\sqrt{s}}.k\sqrt{s}\] \[=\frac{{{k}^{2}}}{2}=a\,constant\]


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