THE APPLICATION OF CALCULUS IN PHYSICS
A BREIF HISTORY ABOUT PHYSICS
The word physics is formulated from an Ancient Greek word φύσις physis meaning "nature”. Physics is a central division of science that is driven out by the study of philosophy and nature .Physics can also be defined as the study of nature, mater and its behaviour and motion through space and time, due to energy and force. Physics is very broad and can be divided in many branches like chemistry, astronomy, biology and life science. Contemporary can be divided into classical physics and modern physics. The understanding of the nature of science began in Archaic period in Greece (650–480 BCE) by the Pre-Socratic philosophers. It began with philosopher Thales of Miletus (7th and 6th centuries BCE), the Father of science who believed that every event has a natural cause. He did not acknowledge mythological explanations for natural phenomenon. One of the first and greatest physicist is Isaac Newton. He is called the father of the clockwork universe because of the theories he invented, universal gravity, three laws of motion ("Physics is the study of your world and the world and universe around you." (Holzner 2006, p. 7-15)
3.1 USE OF DIFFERENTIAL EQUATIONS IN PHYSICS
Differential equation is one of the examples
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According to Newton’s second law of motion Fnet=ma , given that a is constant. Fnet represents the total forces acting on the object, a is the acceleration that acts on the object due to gravity and m is the mass of the object.
Solution
Fnet=ma mg- da v2= m dv/dt
dv/dt=g-da/m