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BCECE Engineering BCECE Engineering Solved Paper-2010

  • question_answer
    A body falls from rest. In the last second of its fall it covers half of the total distance. If g is \[9.8\,\,m/{{s}^{2}},\] then the total time of its fall is (in second)

    A)  2                                            

    B)  \[2+\sqrt{2}\]

    C)  \[2-\sqrt{2}\]                   

    D)         \[2\pm \sqrt{2}\]

    Correct Answer: B

    Solution :

    According to equation of motion \[h=\frac{1}{2}g{{t}^{2}}\]                                           ?(i) \[\frac{h}{2}=\frac{1}{2}g{{(t-1)}^{2}}\]                                 ?(ii)                 Solving Eqs.(i) and (ii), we get                                 \[t=2\pm \sqrt{2}\,s\]                                 \[t=(2+\sqrt{2})s\]


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