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NEET Sample Paper NEET Sample Test Paper-54

  • question_answer
    A particle is moving along a circular path of radius 3 meter in such a way that the distance travelled measured along the circumference is given by \[S\,\,=\,\,\frac{{{t}^{2}}}{2}\,\,+\,\,\frac{{{t}^{3}}}{3}\]. The acceleration of particle when \[t\text{ }=\text{ }2\] sec is-

    A) \[1.3\,m/{{s}^{2}}\]                

    B) \[13\,m/{{s}^{2}}\]

    C) \[3\,m/{{s}^{2}}\]                   

    D) \[10\,m/{{s}^{2}}\]

    Correct Answer: B

    Solution :

    \[s\,\,=\,\,\frac{{{t}^{2}}}{2}+\frac{{{t}^{3}}}{3}\] \[v=t+{{1}^{2}}=6\] \[{{a}_{t}}=\,\,1\,\,+\,\,2t\,\,=\,\,5\] \[{{a}_{c}}=\frac{{{6}^{2}}}{3}\,\,=\,\,12\] \[a\,\,=\,\,\sqrt{a_{c}^{2}+a_{t}^{2}}\]


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