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JEE Main & Advanced Mathematics Applications of Derivatives Question Bank Application in Mechanics and Rate Measurer

  • question_answer
    A particle is moving along the curve \[x=a{{t}^{2}}+bt+c.\]If \[ac={{b}^{2}},\] then the particle would be moving with uniform                                                               [Orissa JEE 2003]

    A)            Rotation

    B)            Velocity

    C)            Acceleration

    D)            Retardation

    Correct Answer: C

    Solution :

               \[\frac{dx}{dt}=2at+b\]Þ \[\frac{{{d}^{2}}x}{d{{t}^{2}}}=2a\].


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