Physics-
General
Easy

Question

An automobile in travelling at 50 blank k m h to the power of negative 1 end exponent comma can be stopped at a distance of 40 m by applying brakes. If the same automobile is travelling at 90 blank k m h to the power of negative 1 end exponent comma blank all other conditions remaining same and assuming no skidding, the minimum stopping distance in metre is

  1. 72  
  2. 92.5  
  3. 102.6  
  4. 129.6  

The correct answer is: 129.6


    Stopping distance s proportional to u to the power of 2 end exponent
    rightwards double arrow blank fraction numerator s subscript 2 end subscript over denominator 40 end fraction equals open parentheses fraction numerator 90 cross times fraction numerator 5 over denominator 18 end fraction over denominator 50 cross times fraction numerator 5 over denominator 18 end fraction end fraction close parentheses to the power of 2 end exponent
    rightwards double arrow blank s subscript 2 end subscript equals 129.6 blank m

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