Physics-
General
Easy

Question

The motion of a particle along a straight line is described by equation:
x equals 8 plus 12 t minus t to the power of 3 end exponent Where x is in metre and t in second. The retardation of the particle when its velocity becomes zero, is

  1. 24 m s to the power of negative 2 end exponent    
  2. Zero    
  3. 6 m s to the power of negative 2 end exponent    
  4. 12 m s to the power of negative 2 end exponent    

The correct answer is: 12 m s to the power of negative 2 end exponent


    x equals 8 plus 12 t plus t to the power of 3 end exponent
    v equals 0 plus 12 minus 3 t to the power of 2 end exponent equals 0
    3 t to the power of 2 end exponent equals 12
    t equals 2 blank s e c
    a equals fraction numerator d v over denominator d t end fraction equals 0 minus 6 t
    a open square brackets t equals 2 close square brackets equals negative 12 blank m divided by s to the power of 2 end exponent
    Retardation equals 12 blank m divided by s to the power of 2 end exponent

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