The research work is aimed at proofing equations of linear motion through normal formula derivation, calculus notations with a new innovation using matrices to express the equation of linear motion: as well as other physical quantities in mechanics such as: force, work, impulse, linear, momentum, pressure and power in a connective manner.

It also tries to relate Sir Isaac Newton's (1642 – 1728) laws of motion to the experimental works of the great Italian physicist Galileo Galile (1564 – 1642).