9th Class Science Gravitation and Floatation Question Bank Gravitation and Pressure

  • question_answer
    If a freely falling body travels in the last second a distance equal to the distance travelled by it in the first \[3\] seconds. Find the time of its travel.

    A) \[3s\]                

    B)        \[4s\]

    C) \[5s\]                              

    D) \[6s\]

    Correct Answer: C

    Solution :

     We have, he distance travelled by the body in the \[{{n}^{th}}\] second equal to the distance travelled by it in \['t'\] seconds,\[t=3\,\,s\] So, \[{{s}_{n}}=s\] \[\Rightarrow \]\[g\left[ n-\frac{1}{2} \right]=\frac{1}{2}g{{t}^{2}}\Rightarrow n-\frac{1}{2}=\frac{1}{2}\times {{3}^{2}}=\frac{9}{2}\] \[\Rightarrow \]\[4.5\]or\[5\]seconds


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