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A particle at origin starts towards posi...

A particle at origin starts towards positive direction of x-axis, with an accelerationa. This acceleration can be defined in three ways,(a) `a =` constant, (b) `a = f(x)`, and (c) `a = -f (t)`. Find the velocity of the particle as a function of time. Also find velocity of the particle when it is at a displacement x from origin. Given that the velocity of the particle at `t = 0` is `v = w`.

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