If a particle is moving on straight line and a constant instantaneous power is supplying on the ...

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If a particle is moving on straight line and a constant instantaneous power is supplying on the particle then find displacement of particle as a
\( P \) function of time.
(A) \( x=\left[\frac{1}{3}\left(\frac{3 c}{m}\right)^{1 / 3} t\right]^{3 / 2} \)
(B) \( x=\left[\frac{5}{3}\left(\frac{3 c}{m}\right)^{1 / 3} t\right]^{3 / 2} \)
(C) \( x=\left[\frac{2}{3}\left(\frac{3 c}{m}\right)^{1 / 3} t\right]^{3 / 2} \)
(D) \( x=\left[\frac{10}{3}\left(\frac{3 c}{m}\right)^{1 / 3} t\right]^{3 / 2} \)
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