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Question

If a particle is thrown vertically upwards with a velocity of u cm/sec under gravity, then the time for the particle to come to earth again is

  1. fraction numerator u over denominator g end fraction s e c    
  2. fraction numerator 2 u over denominator g end fraction s e c    
  3. fraction numerator u over denominator 2 g end fraction s e c    
  4. None of these    

The correct answer is: fraction numerator 2 u over denominator g end fraction s e c


    y equals u t plus fraction numerator 1 over denominator 2 end fraction a t to the power of 2 end exponent as the particle come back to earth.
    So, 0 equals u t minus fraction numerator 1 over denominator 2 end fraction g t to the power of 2 end exponent rightwards double arrow t equals fraction numerator 2 u over denominator g end fractionsec.

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