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9th Class Science Time and Motion Question Bank Motion IIT JEE Objective Problems

  • question_answer
    Speeds of two identical cars are u and 4u at a specific instant. The ratio of the respective distances in which the two cars are stopped from that instant is

    A)  1 : 1                      

    B)  1 : 4   

    C)  1 : 8                      

    D)  1 : 16

    Correct Answer: D

    Solution :

    Car-1 Car-2
    \[{{u}_{1}}=u\] \[{{u}_{2}}=4u\]
    \[{{v}_{1}}=0\] \[{{v}_{2}}=0\]
    \[{{S}_{1}}:{{S}_{2}}=?\] \[{{v}^{2}}{{u}^{2}}\propto S\]
      \[\Rightarrow \frac{{{S}_{1}}}{{{S}_{2}}}=\frac{V_{1}^{2}-u_{1}^{2}}{V_{2}^{2}-u_{1}^{2}}=\frac{{{0}^{2}}-{{u}^{2}}}{{{0}^{2}}-{{(4u)}^{2}}}\Rightarrow \frac{{{S}_{1}}}{{{S}_{2}}}=\frac{1}{16}\]


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