Question

show that
equation of motion are dimensional correct​

Answer 1

There is no such explanation for equation of motion

But yes there is Newton’s low which indicates each object will not move or stop until it will not get outer energy

For that you also have to understand the low of work and energy ( relation between work and energy is called a work energy theorem) w = delta E

For any object which is in motion or which is steady has their own energy if it’s moving then you can get work by finding starting energy and ending energy between two places

It means energy spent on any object or change in energy of any object is called work

I hope it will give you small idea of physics and as well as motion.

Thank you