Physics-
General
Easy

Question

A particle moves along x-axis as x equals 4 open parentheses t minus 2 close parentheses plus a open parentheses t minus 2 close parentheses to the power of 2 end exponent Which of the following is true

  1. The initial velocity of the particle is 4    
  2. The acceleration of particle is 2 a    
  3. The particle is at origin att equals 0    
  4. None of these    

The correct answer is: The acceleration of particle is 2 a


    x equals 4 open parentheses t minus 2 close parentheses plus a open parentheses t minus 2 close parentheses to the power of 2 end exponent
    At t equals 0 comma blank x equals negative 8 plus 4 a equals 4 a minus 8
    v equals fraction numerator d x over denominator d t end fraction equals 4 plus 2 a left parenthesis t minus 2 right parenthesis
    At t equals 0 comma blank v equals 4 minus 4 a equals 4 open parentheses 1 minus a close parentheses
    But acceleration, a equals fraction numerator d to the power of 2 end exponent x over denominator d t to the power of 2 end exponent end fraction equals 2 a

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