Hello Friends, We all are familiar with Newton's laws of motion. He published these laws in his work "Philosophiæ Naturalis Principia Mathematica" on 5 July 1687.
BUT
Before newton discovered laws of motion, Indian scientist and philosopher Kanada (Hindi : कणाद) had given Vaisheshika Sutra (in 600 BCE) which describes relation between forcce and motion etc.
Before going to the formulas given by Kanada i will give some info about Vaisheshika and Vaisheshika Sutra.
Vaisheshika (Sanskrit: वैशॆषिक) is one of the six Hindu schools of philosophy (orthodox Vedic systems) of India. Historically, it has been closely associated with the Hindu school of logic, Nyaya (syllogism, inference). The philosophers of this school used to debate on various subjects and try to achieve a conclusion.
The earliest systematic exposition of the Vaisheshika is found in the Vaiśeṣika Sūtra (600 BCE) of Kaṇāda (Ancient Indian Scientist and philosopher) .
Here are the Vaisheshika Sutras which describe the relation between force and motion :
1) वेगः निमित्तविशेषात कर्मणो जायते |
(The law stated that an object at rest tends to stay at rest and an object in motion tends to stay in motion with the same speed and in the same direction unless acted upon by an unbalanced force.)
2) वेगः निमित्तापेक्षात कर्मणो जायते नियतदिक क्रियाप्रबन्धहेतु |
2) वेगः निमित्तापेक्षात कर्मणो जायते नियतदिक क्रियाप्रबन्धहेतु |
Meaning : Change of motion is proportional to the impressed force and is in the direction of the force.