9th Class Science Time and Motion Question Bank MCQs - Motion

  • question_answer
    If the displacement of an object is proportional to the square of time, then the object is moving with

    A) a uniform velocity

    B) a uniform acceleration

    C) increasing acceleration

    D) decreasing acceleration

    Correct Answer: B

    Solution :

    [b] Given, \[s=c{{t}^{2}}\],
    Here, c = constant of proportionality
    \[\therefore \operatorname{Acceleration},\ a=\frac{{{d}^{2}}s}{d{{t}^{2}}}=\frac{{{d}^{2}}}{d{{t}^{2}}}(c{{t}^{2}})\]
             =2c constant
    So, the object is moving with a uniform acceleration.


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