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DUMET Medical DUMET Medical Solved Paper-2009

  • question_answer
    A coastguard ship locates a pirate ship at a distance 560 m. It fires a cannon ball with an initial speed 82 \[m{{s}^{-1}}\]. At what angle from horizontal the ball must be fired so that it hits the pirate ship?

    A)  \[{{54}^{o}}\]             

    B)  \[{{125}^{o}}\]

    C)  \[{{27}^{o}}\]             

    D)  \[{{18}^{o}}\]

    Correct Answer: C

    Solution :

     Range \[=\frac{{{u}^{2}}\sin \,2\theta }{g}\] \[\therefore \] \[560=\frac{{{(82)}^{2}}\sin \,2\theta }{10}\] or \[\sin \,2\theta =0.832\,\,\,[\sin \,{{56.30}^{o}}=0.832]\] \[\Rightarrow \] \[\theta \approx {{27}^{o}}\]


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