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JIPMER Jipmer Medical Solved Paper-2012

  • question_answer
    A police party is moving in a jeep at a constant speed v. They saw a thief at a distance x on a motorcycle which is at rest. The moment the police saw the thief, the thief started at constant acceleration a. Which of the following relations is true if the police is able to catch the thief?

    A)  \[{{v}^{2}}<ax\]                              

    B)  \[{{v}^{2}}<2ax\]

    C)  \[{{v}^{2}}\ge 2ax\]      

    D)  \[{{v}^{2}}=ax\]

    Correct Answer: C

    Solution :

                    Let the police catch the thief in time t Distance travelled in time t = vt According to the question. \[x+\frac{1}{2}a\,{{t}^{2}}=vt\]                 \[\frac{{{t}^{2}}}{2}-vt+x=0\] \[t=\frac{v\pm \sqrt{{{v}^{2}}-2ax}}{a}\] For real t, \[{{v}^{2}}-2ax\ge 0\]                                 \[{{v}^{2}}\ge 2ax.\]


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