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NEET Sample Paper NEET Sample Test Paper-45

  • question_answer
    The acceleration of a particle increases linearly with time t as '6t'. If the initial velocity of the particle is zero and the particle starts from the origin, then the distance travelled by the particle in time t will be -

    A) t                                  

    B) \[{{t}^{2}}\]

    C) \[{{t}^{3}}\]                           

    D) \[{{t}^{4}}\]

    Correct Answer: C

    Solution :

    \[a\,\,=\,\,6t\] \[\int{dv}=\int{\,6t\,\,dt}\] \[v=\frac{6{{t}^{2}}}{2}\,\,=\,\,3{{t}^{2}}\] \[\int{dx\,\,=\,\,\int{3{{t}^{2}}\,dt}}\] \[x=\frac{3{{t}^{3}}}{3}\,\,=\,\,{{t}^{3}}\,\,\Rightarrow \,\,x\propto {{t}^{3}}\]


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