AMU Medical AMU Solved Paper-1995

  • question_answer
    A cannon at the ground fires a shell at speed of 50 km/hr. If the angle of projection is\[30{}^\circ ,\] the range of the shell (take\[g=10\text{ }m/{{s}^{2}}\]) is, in km.

    A)  \[2.5\sqrt{{}}3\]            

    B)  \[62.5\sqrt{{}}3\]

    C)  \[125\sqrt{{}}3\]             

    D)  \[9.65\sqrt{{}}3\times {{10}^{-3}}\]

    Correct Answer: D

    Solution :

    : Range of projectile \[=R=\frac{{{u}^{2}}\sin 2\theta }{g}\] \[\therefore \] \[R={{\left( \frac{50\times 1000}{60\times 60} \right)}^{2}}\times \frac{\sin 60{}^\circ }{10}\] Or \[R=\frac{125\times 125\times \sqrt{3}}{9\times 9\times 2\times 10}m\] Or \[R=9.65\sqrt{3}m\] Or \[R=9.65\sqrt{3}\times {{10}^{-3}}km\]


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