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The velocity of a body moving along x direction is related to its displacement as $3 x^{2} - 2 x$ . Acceleration of the body at x=2 m is

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48 ms-2

80 ms-2

18 ms-2

10 ms-2

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detailed solution

Correct option is B

v=3x2-2xa=dvdt=dvdxdxdt=6x-2v=23x-13x2-2xputting x=2m a=26-112-4=80 m/s2

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The velocity of a body moving along x direction is related to its displacement as 3x2-2x. Acceleration of the body at x=2 m is

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The velocity of a body moving along x direction is related to its displacement as $3 x^{2} - 2 x$ . Acceleration of the body at x=2 m is