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Question

A particle starts from rest. Its acceleration open parentheses a close parentheses blank v e r s u s time open parentheses t close parentheses is as shown in the figure. The maximum speed of the particle will be

  1. 110 blank m s to the power of negative 1 end exponent    
  2. 55 blank m s to the power of negative 1 end exponent    
  3. 550 blank m s to the power of negative 1 end exponent    
  4. 660 blank m s to the power of negative 1 end exponent    

The correct answer is: 55 blank m s to the power of negative 1 end exponent


    Area under acceleration-time graph gives the change in velocity. Hence,
    v subscript m a x end subscript equals fraction numerator 1 over denominator 2 end fraction cross times 10 cross times 11 equals 55 blank m s to the power of negative 1 end exponent
    Therefore, the correct option is [b].

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