A particle of mass m is moving along the x-axis such that its velocity is given by v = k√x. The work done by the force during the first t seconds is

1
\(\frac{mk^2t^2}{6}\)
2
\(\frac{mk^4t}{4}\)
3
\(\frac{mk^4t^2}{8}\)
4
\(\frac{mk^2t^4}{6}\)

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