# 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 = 𝑎√𝑥. The displacement of the particle varies with time as

Question : 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 = 𝑎√𝑥. The displacement of the particle varies with time as

(A) 𝑡

(B) $t^{\dfrac{1}{2}}$

(C) $t^{3}$

(D) $t^{2}$