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Question

An aeroplane is flying in a horizontal direction with a velocity 600 k m h to the power of negative 1 end exponent at a height of 1960 m. when it is vertically above the point A on the ground, a body is dropped from it. The body strikes the ground at point B. Calculate the distance A B

  1. 3.33 km    
  2. 333 km    
  3. 33.3 km    
  4. 3330 km    

The correct answer is: 3.33 km


    From h equals fraction numerator 1 over denominator 2 end fraction g t to the power of 2 end exponent
    We have t subscript O B end subscript equals square root of fraction numerator 2 h subscript O A end subscript 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 distance A B equals v t subscript O B end subscript
    equals open parentheses 600 cross times fraction numerator 5 over denominator 18 end fraction close parentheses left parenthesis 20 right parenthesis
    equals 3333.33 blank m equals 3.33 blank k m

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