Physics-
General
Easy

Question

The acceleration of a particle increases linearly with time t as 6t. If the initial velocity of the particle is zero and the particle starts from the origin, then the distance travelled by the particle in time t will be

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

The correct answer is: t to the power of 3 end exponent


    fraction numerator d v over denominator d t end fraction equals 6 t or d v equals 6 t comma m v equals fraction numerator 6 t to the power of 2 end exponent over denominator 2 end fraction equals 3 t to the power of 2 end exponent,
    d x equals 3 t to the power of 2 end exponent d t blank rightwards double arrow blank x equals 3 fraction numerator t to the power of 3 end exponent over denominator 2 end fraction equals t to the power of 3 end exponent

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