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

Can equation of Kinematics be used in a situation where the acceleration varies in time?Can they be used when acceleration is zero?

Can equation of Kinematics be used in a situation where the acceleration varies in time?Can they be used when acceleration is zero?

Can we use equations of motion for motion having varaible acceleration?

Derive the kinematic equations of motion for constant acceleration.