RAJASTHAN PMT Rajasthan - PMT Solved Paper-2003

  • question_answer
    A particle after starting from rest, experiences constant acceleration for 20 sec. If it covers a distance\[{{S}_{1}}\]in first 10 sec, then the distance covered during next 10 sec will be

    A)  \[{{S}_{1}}\]         

    B)                         \[2{{s}_{1}}\]                   

    C)  \[3{{s}_{1}}\]                   

    D)         \[4{{s}_{1}}\]

    Correct Answer: C

    Solution :

    In 20 seconds, total distance travelled \[s=\frac{1}{2}a{{(20)}^{2}}=\frac{1}{2}a\times 400\] \[=200\,a\] In first 10 seconds, the distance Si travelled                                 \[{{s}_{1}}=\frac{1}{2}a\times {{(10)}^{2}}\]                                 \[=50a\] So, in other 10 seconds, the distance \[{{s}_{2}}\]  travelled                                 \[{{s}_{2}}=s-{{s}_{1}}\] or            \[{{s}_{2}}=200a-50a\]        or            \[=150a\]          or            \[=3\times (50a)\]          Hence,       \[{{s}_{2}}=3s & 1\]


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