NEET Sample Paper NEET Sample Test Paper-84

  • question_answer
    A particle starting with certain initial velocity and uniform acceleration covers a distance of 12 m in first 3 seconds and a distance of 30 m in next 3 seconds. The initial velocity of the particle is

    A) \[3\,\,m{{s}^{-1}}\]     

    B)        \[2.5\,\,m{{s}^{-1}}\]

    C) \[2\,\,m{{s}^{-1}}\]     

    D)        \[1\,\,\,m{{s}^{-1}}\]

    Correct Answer: D

    Solution :

    [d] Let u be the initial velocity that have to find and a be the uniform acceleration of the particle. For t = 3 s, distance travelled S = 12 m and for t = 3 + 3 = 6s distance travelled S'=12 + 30 = 42 m From, \[S=ut+1/2a{{t}^{2}}\]             \[12=u\times 3+\frac{1}{2}\times a\times {{3}^{2}}\]             or         \[\,24=6u+9a\,\]                        ?(i) Similarly, \[42=u\times 6+\frac{1}{2}\times a\times {{6}^{2}}\] or         \[42=6u+18a\]              ?(ii) On solving, we get \[u=1\,\,m\,{{s}^{-1}}\]


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