A particle located at $x = 0,$ at time $t = 0,$ starts moving along the positive $X-$ direction with a velocity $v$ that varies as $v\, = \,\alpha \sqrt x $. The displacement of the particle with time is proportional to
- A$t^3$
- B$t^2$
- C$t$
- D$t^{1/2}$
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