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A particle moving in the positive \( x \)-direction has initial velocity \( v_{0} \). The particle undergoes retardation \( k v^{2} \), where \( v \) is its instantaneous velocity. The velocity of the particle as a function of time is given by :
(A) \( v=v_{0} /\left(1+k v_{0} t\right) \)
(B) \( \nu=\frac{2 v_{0}}{1+k t} \)
(C) \( v=\frac{v_{0}}{k t} \)
(D) \( v=\frac{v_{0}}{\left(1+k^{2} v_{0}^{2} t\right)} \)
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