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General
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Question

The distance-time graph of a particle at time t makes angle 45degree with time axis. After 1s, it makes angle 60degree with time axis. What is the acceleration of the particle?

  1. square root of 3 minus 1 blankunit    
  2. square root of 3 plus 1 blankunit    
  3. square root of 3unit    
  4. 1 blankunit    

The correct answer is: square root of 3 minus 1 blankunit


    The slope of distance-time graphs speed.
    The change in velocity in 1 s
    equals tan invisible function application 60 degree minus tan invisible function application 45 degree equals square root of 3 minus1
    therefore Acceleration equals fraction numerator increment v over denominator increment t end fraction equals fraction numerator square root of 3 minus 1 over denominator 1 end fraction equals left parenthesis square root of 3 minus 1 right parenthesisunit

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