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Question

The velocity of a particle is v equals v subscript 0 end subscript plus g t plus f t to the power of 2 end exponent. If its position is x equals 0 at t equals 0, then its displacement after unit time open parentheses t equals 1 close parentheses i s

  1. v subscript 0 end subscript equals 2 g plus 3 f  
  2. v subscript 0 end subscript plus g divided by 2 blank plus f divided by 3  
  3. v subscript 0 end subscript plus g plus f  
  4. v subscript 0 end subscript plus g divided by 2 plus f  

The correct answer is: v subscript 0 end subscript plus g divided by 2 blank plus f divided by 3


    not stretchy integral from 0 to x of d x equals not stretchy integral from 0 to 1 of left parenthesis v subscript 0 end subscript plus g t plus f t to the power of 2 end exponent right parenthesis d t
    x equals v subscript 0 end subscript plus g open parentheses fraction numerator 1 over denominator 2 end fraction close parentheses plus f open parentheses fraction numerator 1 over denominator 3 end fraction close parentheses

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