Physics-
General
Easy

Question

A bullet is to be fired with a speed of 2000 blank m s to the power of negative 1 end exponent to hit a target 200 blank m away on a level ground. If g equals 10 blank m s to the power of negative 2 end exponent, the gun should be aimed

  1. Directly at the target  
  2. 5 blank c m below the target  
  3. 5 blank c m above the target  
  4. 2 blank c m above the target  

The correct answer is: 5 blank c m above the target


    Let t be time taken by the bullet to hit the target
    therefore 200 blank m equals 2000 blank m s to the power of negative 1 end exponent t
    rightwards double arrow t equals fraction numerator 200 m over denominator 2000 m s to the power of negative 1 end exponent end fraction equals fraction numerator 1 over denominator 10 end fraction s
    For vertical motion,
    Here u equals 0
    therefore h equals fraction numerator 1 over denominator 2 end fraction g t to the power of 2 end exponent
    h equals fraction numerator 1 over denominator 2 end fraction cross times 10 cross times open parentheses fraction numerator 1 over denominator 10 end fraction close parentheses to the power of 2 end exponent equals fraction numerator 1 over denominator 20 end fraction m equals 5 blank c m
    therefore Gun should be aimed 5 blank c m above the target

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