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Manipal MET2010MathematicsDifferentiation

If a particle is moving such that the velocity aćquired is proportional to the square root of - the distance covered, then its acceleration is

Options

  1. Aa constant
  2. Bs^2
  3. C1 s^2
  4. D1 s

Correct answer

A. a constant

Step-by-step solution

Let v be the velocity of the particle when the distance covered is s . Then, v s (given) v= s d v d x = 2 s v d v d s = 2 s = ^2 2 = constant The acceleration is constant

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