Physics-
General
Easy

Question

At the height 80 m, an aeroplane is movingwith 150 blank m s to the power of negative 1 end exponent. A bomb is dropped from it, so as to hit a target. At what distancefrom the target should bomb be dropped? left parenthesis g equals 10 blank m s to the power of negative 2 end exponent right parenthesis

  1. 605.3 m  
  2. 600m  
  3. 80 m  
  4. 230m  

The correct answer is: 600m


    Time taken by the bomb to reach the ground is given by
    h subscript O A end subscript equals fraction numerator 1 over denominator 2 end fraction g t subscript O B end subscript superscript 2 end superscript

    w e blank h a v e blank 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
    g i v e n comma blank h subscript O A end subscript equals 80 m comma blank g equals 10 blank m s to the power of negative 2 end exponent
    therefore blank t subscript O B end subscript equals square root of fraction numerator 2 cross times 80 over denominator 10 end fraction blank 4 s end root
    H o r i z o n t a l blank v e l o c i t y blank o f blank b o m b
    v equals 150 blank m s to the power of negative 1 end exponent
    Horizontal distance covered by the bomb
    A B equals v t subscript O B end subscript
    equals 150 cross times 4
    equals 600 blank m
    Hence, the bomb should be dropped 600 m before the target.

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