9th Class Science Time and Motion Question Bank Motion

  • question_answer
    The length of a minute hand of a clock is\[4\,\,cm\]. Find the displacement and the average velocity of the tip of the minute hand when it moves from 3.15 p.m. to 3.30 p.m.

    A) \[4\sqrt{2}cm,\,\,\frac{\sqrt{2}}{225}cm\,\,{{s}^{-1}}\]  

    B) \[4\sqrt{2}cm,\,\,\frac{4}{225}cm\]

    C) \[2\sqrt{4}cm,\,\,\frac{1}{225}cm\,\,{{s}^{-1}}\]

    D) \[4\sqrt{2}cm,\,\,\frac{2}{225}cm\,\,{{s}^{-1}}\]

    Correct Answer: A

    Solution :

    \[S=\sqrt{{{l}^{2}}+{{l}^{2}}}=\sqrt{2{{l}^{2}}}=l\sqrt{2}=4\sqrt{2}\] Average velocity\[=\frac{S}{t}\]\[=\frac{4\sqrt{2}}{15\times 60\,\,s}=\frac{\sqrt{2}}{225}cm\,\,{{s}^{-1}}\]


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