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NEET Sample Paper NEET Sample Test Paper-91

  • question_answer
    The distance travelled by a body moving along a line in time t is proportional to \[{{t}^{3}}.\] The acceleration-time (a, t) graph for the motion of the body will be

    A)         

    B)         

    C)        

    D)       

    Correct Answer: B

    Solution :

    [b] Distance along a line i.e., displacement (s) \[={{t}^{3}}\] (\[\because \] s \[\propto \,\,{{t}^{3}}\]given) By double differentiation of displacement, we get acceleration. \[V=\frac{ds}{dt}=\frac{d{{t}^{3}}}{dt}=3{{t}^{2}}\] and \[a=\frac{dv}{dt}=\frac{d3{{t}^{2}}}{dt}=6t\] a = 6t or \[a\,\,\propto \,\,t\] Hence graph [b] is correct.


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