JEE Main & Advanced Physics Motion in a Straight Line / सरल रेखा में गति Question Bank Motion Under Gravity

  • question_answer
    If a freely falling body travels in the last second a distance equal to the distance travelled by it in the first three second, the time of the travel is            [Pb. PMT 2004; MH CET 2003]

    A)                         6 sec               

    B)                         5 sec            

    C)                         4 sec               

    D)                         3 sec

    Correct Answer: B

    Solution :

                                The distance traveled in last second.             \[{{S}_{\text{Last}}}=u+\frac{g}{2}(2t-1)\]\[=\frac{1}{2}\times 9.8(2t-1)\]\[=4.9(2t-1)\]                      and distance traveled in first three second,             \[{{S}_{\text{Three}}}=0+\frac{1}{2}\times 9.8\times 9=44.1\ m\]             According to problem\[{{S}_{\text{Last}}}={{S}_{\text{Three}}}\]             \[\Rightarrow 4.9(2t-1)=44.1\Rightarrow 2t-1=9\] Þ t = 5 sec.            


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