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Question

The position x blankof a particle varies with time t blankas x equals a t to the power of 2 end exponent minus b t to the power of 3 end exponent. The acceleration of the particle will be zero at time t blankequal to

  1. fraction numerator a over denominator b end fraction  
  2. fraction numerator 2 a over denominator 3 b end fraction  
  3. fraction numerator a over denominator 3 b end fraction  
  4. Z e r o  

The correct answer is: fraction numerator a over denominator 3 b end fraction


    fraction numerator d x over denominator d t end fraction equals 2 a t minus 3 b t to the power of 2 end exponent rightwards double arrow 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 minus 6 b t equals 0 rightwards double arrow t equals fraction numerator a over denominator 3 b end fraction

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