9th Class Science Time and Motion Question Bank Motion

  • question_answer
    If the distance travelled by a body in the second is given by\[(4+6n)m\], then find the initial velocity and acceleration of the body respectively.

    A) \[3\,\,m\,\,{{s}^{-1}},\,\,6\,\,m\,\,{{s}^{-2}}\]

    B)        \[7\,\,m\,\,{{s}^{-1}},\,\,4\,\,{{s}^{-2}}\]

    C) \[7\,\,m\,\,{{s}^{-1}},\,\,6\,\,m\,\,{{s}^{-2}}\]  

    D)        \[7\,\,m\,\,{{s}^{-1}},\,\,3\,\,m\,\,{{s}^{-2}}\]

    Correct Answer: C

    Solution :

                \[{{S}_{n}}=(4+6n)\]                           ? (1)             \[{{S}_{n}}=u+\frac{a}{2}(2n-1)=\left( u-\frac{a}{2} \right)+an\]           ? (2) Comparing (1) and (2), we get\[u=7\,\,m\,\,{{s}^{-1}}\]and\[a=6\,\,m\,\,{{s}^{-2}}\]


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