The displacement of a particle is given by ${ at }_{ 2 }$, dependency of acceleration on time? What is dependency of acceleration on time?

Let x be the displacement. Then, x = ${ at }_{ 2 }$

:. Velocity of the object, v = dx/dt = -2at

Acceleration of the object,a = dv/dt = 2a

It means that a is constant.