Physics-
General
Easy

Question

The displacement of a particle is proportional to the cube of time elapsed. How does the acceleration of the particle depends on time obtained

  1. a proportional to t to the power of 2 end exponent  
  2. a proportional to 2 t  
  3. aproportional to t to the power of 3 end exponent  
  4. a proportional to t  

The correct answer is: a proportional to t


    x proportional to t to the power of 3 end exponent therefore x equals K t to the power of 3 end exponent
    rightwards double arrow v equals fraction numerator d x over denominator d t end fraction equals 3 K t to the power of 2 end exponent a n d blank a equals fraction numerator d v over denominator d t end fraction equals 6 K t
    i. e. a proportional to t

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