# Displacement (𝑥) of a particle is related to time (𝑡) as 𝑥 = 𝑎𝑡 + 𝑏𝑡2 − 𝑐𝑡 3 Where 𝑎, 𝑏 and 𝑐 are constants of the motion. The velocity of the particle when its acceleration is zero is

Question : Displacement (𝑥) of a particle is related to time (𝑡) as 𝑥 = 𝑎𝑡 + 𝑏𝑡2 − 𝑐𝑡 3 Where 𝑎, 𝑏 and 𝑐 are constants of the motion. The velocity of the particle when its acceleration is zero is

(A) $a+\dfrac{b^{2}}{c}$

(B) $a+\dfrac{b^{2}}{2c}$

(C) $a+\dfrac{b^{2}}{3c}$

(D) $a+\dfrac{b^{2}}{4c}$