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NEET Sample Paper NEET Sample Test Paper-43

  • question_answer
    An object fall from rest. In the last second of its fall, it covers half of the total distance. If \[g=9.8\text{ }m{{s}^{-2}},\]then the total time of its fall is -

    A) \[(2-\sqrt{2})s\]              

    B) \[(2+\sqrt{2})s\]

    C) \[(2\pm \sqrt{2})s\]                    

    D) 4 s

    Correct Answer: B

    Solution :

    \[H=\frac{1}{2}g{{t}^{2}}\]                             ... (i) \[H-\frac{H}{2}=\frac{1}{2}g{{(t-1)}^{2}}\] or  \[\frac{H}{2}=\frac{1}{2}g{{(t-1)}^{2}}\]    ...(ii)      (i)/(ii) \[2=\frac{{{t}^{2}}}{{{(t-1)}^{2}}}\] \[\sqrt{2}=\frac{t}{(t-1)}\Rightarrow t=2+\sqrt{2}\]


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