Question

can kinematic equations be used for non constant acceleration. if not how can it be used for circular motion which is accelerated motion

Answer 1

Dear Student,

The derived kinematic equations:
$$\begin{gathered} v=u+at \\ s=ut+\frac{1}{2}a{t}^2 \\ {v}^2-u^2=2as \end{gathered}$$

Can not be used with non constant acceleration.

​​​​​We can use these equation in circular motion assuming the path to be straight and magnitude of acceleration as constant.
Also we use :
$$\begin{gathered} \omega ={\omega }_o+\alpha t \\ \theta ={\omega }_{o}t+\frac{1}{2}\alpha t^2 \\ {\omega }^2-{{\omega }_o}^2=2\alpha \theta \end{gathered}$$
In case of circular motion having angular acceleration constant.

Regards,
​​​​