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JCECE Engineering JCECE Engineering Solved Paper-2013

  • question_answer
    A police van moving on a highway with a speed of \[30\,\,km/h\] fires a bullet at a thief?s car speeding away in the same direction with a speed of\[192\,\,km/h\]. If the muzzle speed of the bullet is\[150\,\,km/h\], with what speed does the bullet hit the thief?s car?

    A) \[105\,\,m/s\]                  

    B) \[205\,\,m/s\]

    C)  \[210\,\,m/s\]                 

    D)  \[250\,\,m/s\]

    Correct Answer: A

    Solution :

    Speed of thief's car w.r.t. ground                 \[{{v}_{r}}=192\,\,km/h\] Speed of police van w.r.t. ground                 \[{{v}_{p}}=30\,\,km/h\] Speed of bullet w.r.t. police van                 \[{{v}_{B}}=150\,\,m/s=540\,\,km/h\]                 \[v={{v}_{BG}}+{{v}_{GT}}\]                 \[v={{v}_{B}}+{{v}_{P}}+{{v}_{T}}\]                    \[=540+30-192\]            \[[\because \,\,{{v}_{G}}={{v}_{T}}]\]        \[=378\,\,km/h=378\times \frac{1000}{3600}m/s=105\,\,m/s\]


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