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RAJASTHAN PMT Rajasthan - PMT Solved Paper-2005

  • question_answer
    A bullet is fired from the gun with a speed of 1000 m/s in order to hit a target s = 100 in away. At what height above the target should             by gun be aimed (The resistance of air is negligible and \[g=10\,m/{{s}^{2}}\])

    A)  23 cm   

    B)         15 cm

    C)  9 cm                     

    D)         5 cm

    Correct Answer: D

    Solution :

    Here: Speed of bullet\[\upsilon =\]1000 m/s Distance of target s = 100 m The time taken to cover the horizontal distance of 100 m from the gun to the target is given by \[t=\frac{100}{1000}=0.1\] second During this time, the bullet will fall down vertically under gravity Hence, height  \[h=ut+\frac{1}{2g{{t}^{2}}}\] \[=0\times \frac{1}{2}\times 10\times {{(0.1)}^{2}}\] \[=5\times 0.01=0.05\,m=5\,cm\]


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