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JEE Main & Advanced Physics Motion in a Straight Line / सरल रेखा में गति Question Bank Non-uniform Motion

  • question_answer
    A particle moves along x-axis as             \[x=4(t-2)+a{{(t-2)}^{2}}\]             Which of the following is true?                         [J&K CET 2005]            

    A)                                  The initial velocity of particle is 4                    

    B)                         The acceleration of particle is 2a            

    C)                       The particle is at origin at t = 0                      

    D)                         None of these

    Correct Answer: B

    Solution :

                                \[x=4(t-2)+a{{(t-2)}^{2}}\] At \[t=0,\,x=-8+4a=4a-8\] \[v=\frac{dx}{dt}=4+2a(t-2)\] At \[t=0,\ \ v=4-4a=4(1-a)\]             But acceleration,\[a=\frac{{{d}^{2}}x}{d{{t}^{2}}}=2a\]            


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