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Question

An express train is moving with a velocity v subscript 1 end subscript. Its driver finds another train is moving on the same track in the same direction with velocity v subscript 2 end subscript. To escape collision, driver applies a retardation a on the train. The minimum time of escaping collision will be

  1. t equals fraction numerator v subscript 1 end subscript minus v subscript 2 end subscript over denominator a end fraction  
  2. t equals fraction numerator v subscript 1 end subscript superscript 2 end superscript minus v subscript 2 end subscript superscript 2 end superscript over denominator 2 end fraction  
  3. None  
  4. Both  

The correct answer is: t equals fraction numerator v subscript 1 end subscript minus v subscript 2 end subscript over denominator a end fraction


    As the train are moving in the same direction. So the initial relative speed left parenthesis v subscript 1 end subscript minus v subscript 2 end subscript right parenthesis and by applying retardation final relative speed becomes zero
    From v equals u minus a t rightwards double arrow 0 equals open parentheses v subscript 1 end subscript minus v subscript 2 end subscript close parentheses minus a t rightwards double arrow t equals fraction numerator v subscript 1 end subscript minus v subscript 2 end subscript over denominator a end fraction

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