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

  • question_answer
    A stone is falling freely and describes a distance s in t seconds given by equation \[s=\frac{1}{2}g\,{{t}^{2}}\]. The acceleration of the stone is

    A)            Uniform

    B)            Zero

    C)            Non-uniform

    D)            Indeterminate

    Correct Answer: A

    Solution :

               Given \[s=\frac{1}{2}g{{t}^{2}}\]Þ\[\frac{ds}{dt}=gt\];  Again \[\frac{{{d}^{2}}s}{d{{t}^{2}}}=g\]            Hence the acceleration of the stone is uniform.


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