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BCECE Medical BCECE Medical Solved Papers-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)                 \[\frac{h}{2}=\frac{1}{2}g\,\,{{(t-t)}^{2}}\] ... (ii) Solving Eqs. (i) and (ii). We get                 \[t=2\pm \sqrt{2}\,s\] \[t=(2+\sqrt{2})\,s\]


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