# The distance 𝑥 covered by a particle in one-dimensional motion varies with time 𝑡 as 𝑥 2 = 𝑎𝑡 2 + 2𝑏𝑡 + 𝑐. The accelerating of the particle varies as

Question : The distance 𝑥 covered by a particle in one-dimensional motion varies with time 𝑡 as 𝑥 2 = 𝑎𝑡 2 + 2𝑏𝑡 + 𝑐. The accelerating of the particle varies as

(A) $x^{3}$

(B) $x^{\dfrac{3}{2}}$

(C) $x^{2}$

(D) $x-\dfrac{2}{3}$