Question

Can the equations of kinematics be used when the acceleration varies with time?If not,what from would these equations take?

Answer 1

Kinematics equations can be used only when the acceleration of the body is constant.

In case of variable accelerations, we should used the integration approach.

Equations used are, $a=\frac{dv}{dt}$ Or $a=\frac{vdv}{dx}$

Integrate these equations to get the velocity as function of time and displacement, respectively.