question_answer

The displacement x of a particle along a straight line at time t is given by: \[\text{x = }{{\text{a}}_{\text{0}}}\text{+}\frac{{{\text{a}}_{\text{1}}}\text{t}}{\text{2}}\text{+}\frac{{{\text{a}}_{\text{2}}}}{\text{3}}{{\text{t}}^{\text{2}}}\]. The acceleration of the particle is

A) \[\frac{{{a}_{2}}}{3}\]                        

B) \[\frac{2{{a}_{2}}}{3}\]

C) \[\frac{{{a}_{1}}}{2}\]            

D) \[{{a}_{0}}+\frac{{{a}_{2}}}{3}\]