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JEE Main & Advanced Sample Paper JEE Main Sample Paper-3

  • question_answer
    A bullet comes out of a gun with a velocity of 600 m/s. At what height from the target should the gun be aimed in order to hit the target situated at a distance of 200 m from the gun?

    A)  0.55 m                

    B)  55 m

    C)  5.5 m                   

    D)  \[55\times {{10}^{-4}}m\]

    Correct Answer: A

    Solution :

     Time taken in travelling horizontal distance of 200m with constant velocity of 600m/s is equal to 200/600 = 1/3 sec. Vertical distance moved under acceleration due to gravity, with zero initial velocity will be  \[S=ut+\frac{1}{2}a{{t}^{2}}=0+\frac{1}{2}\times 10\times {{(1/3)}^{2}}=0.55m\]Hence, the bullet should be aimed 0.55m higher than target.


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