AIIMS AIIMS Solved Paper-2014

  • question_answer
    What will be ratio of speed in first two seconds to the speed in next 4s?

    A) \[\sqrt{2}:1\]                                    

    B) \[3:1\]          

    C) \[2:1\]

    D) \[1:2\]

    Correct Answer: C

    Solution :

                     \[V=\frac{Dis\tan ce}{Time\,taken}\] As shown in given figure                                 \[\frac{{{v}_{1}}}{{{v}_{0}}}=\frac{\frac{{{s}_{0}}}{{{t}_{1}}}}{\frac{{{s}_{0}}}{{{t}_{2}}}}\]                                 \[=\frac{{{s}_{0}}}{{{t}_{1}}}\times \frac{{{t}_{2}}}{{{s}_{0}}}\] \[\frac{{{v}_{1}}}{{{v}_{2}}}=\frac{4}{2}=\frac{2}{1}\] Therefore, the ratio of speeds is \[{{v}_{1}}:{{v}_{2}}=2:1\]                                


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