Physics-
General
Easy

Question

The relation 3 t equals square root of 3 x end root plus 6 describes the displacement of a particle in one direction where x blankis in m e t r e s and t in sec. The displacement, when velocity is zero, is

  1. 24 blank m e t r e s  
  2. 12 m e t r e s  
  3. 5 m e t r e s  
  4. Zero  

The correct answer is: Zero


    3 t equals square root of 3 x end root plus 6 rightwards double arrow 3 x equals open parentheses 3 t minus 6 close parentheses to the power of 2 end exponent
    rightwards double arrow x equals 3 t to the power of 2 end exponent minus 12 t+12
    v equals fraction numerator d x over denominator d t end fraction equals 6 t minus 12 comma blankfor v equals 0 comma t equals 2 blank s e c
    x equals 3 open parentheses 2 close parentheses to the power of 2 end exponent minus 12 cross times 2 plus 12 equals 0

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