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Question

An aeroplane is flying horizontally with a velocity of 216 blank k m h to the power of negative 1 end exponent and at a height of 1960 m. When it is vertically above a point A on the ground, a bomb is released from it. The bomb strikes the ground at point B. The distance A B is (ignoring air resistance)

  1. 1200 m  
  2. 0.33 km  
  3. 3.33 km  
  4. 33 km  

The correct answer is: 1200 m


    Horizontal velocity of aeroplane,
    u equals fraction numerator 216 cross times 1000 over denominator 60 cross times 100 end fraction equals 60 blank m s to the power of negative 1 end exponent
    Time of flight, T equals square root of fraction numerator 2 s over denominator g end fraction end root equals square root of fraction numerator 2 cross times 1960 over denominator 9.8 end fraction end root equals 20 s
    Horizontal range, A B equals u T
    equals 60 cross times 20 equals 1200 m

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