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a particle located at x=0 at time t=0 start moving along positive x direction with a velocity v that varies as v=ax, the displacement of the particle varies with time as?

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Q. A particle located at x = 0 time t =0 starts moving along positive x-direction with a velocity v that varies as

v = α \sqrt{x}

displacement of particle at time t.

Q. A particle located at

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that varies with position as

v = a \sqrt{x}

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v = α \sqrt{x} .

The displacement of the particle varies with time as

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