RAJASTHAN PMT Rajasthan - PMT Solved Paper-2000

  • question_answer
    If position of a particle X is directly proportional to t2 then:

    A)  velocity will be constant

    B)  acceleration will be constant

    C)  acceleration will be variable

    D)  none of these

    Correct Answer: B

    Solution :

    \[\therefore \] \[\begin{align}   & X\propto {{t}^{2}} \\  & X=k{{t}^{2}} \\  & \frac{dX}{dt}=2kt \\  & \frac{{{d}^{2}}X}{d{{t}^{2}}}=2k \\ \end{align}\] \[\therefore \]acceleration = constant


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