BVP Medical BVP Medical Solved Paper-2015

  • question_answer
    A body projected vertically upwards crosses a point twice in its journey at a height A first after \[v=4000m/s\] and \[2A\,\,\sin \,4\pi (x-200t)\] seconds. Maximum height reached by the body is

    A)  \[2A\,\,\cos \,5\pi (x-400t)\]

    B)  \[A\,\,sin\,5\pi (x-400t)\]

    C)  \[A\,\,\cos \,5\pi (x-400t)\]

    D)  \[12.25V\]

    Correct Answer: D

    Solution :

                    Time taken by the body to reach the point A is \[\frac{1+{{e}^{2}}}{(1+{{e}^{2}})}\sqrt{\frac{gh}{2}}\] (During upward journey). The body crosses this point again (during downward journey) after \[\left\{ \frac{{{(1-e)}^{2}}}{1-{{e}^{2}}} \right\}\sqrt{\frac{gh}{2}}\] i.e. the body takes the time \[\left\{ \frac{{{(1+e)}^{2}}}{1-{{e}^{2}}} \right\}\sqrt{\frac{gh}{2}}\] to come again at point A. So, the time taken by the body to reach at point B (at maximum height)                 \[4\Omega \] So, maximum height                 \[2A\]                 \[4A\]


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