If a particle is moving such that the velocity acquired is proportional to the square root of the distance covered, then itsacceleration is

If a particle is moving such that the velocity acquired 

is proportional to the square root of the distance covered, then its

acceleration is

  1. A

    a constant

  2. B

    s2

  3. C

    1s2

  4. D

    s

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    Solution:

    Let v be the velocity of the particle when the 

    distance covered is s. Then,

         vs                                                [Given] v=λsdvds=λ2svdvds=λv2s=λ22= constant. 

    Hence, the acceleration is constant. 

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