Physics Physics And Calculus Applications - 1711 Words

MATH EXPLORATION PHYSICS AND CALCULUS APPLICATIONS MS. BUICA – MCV4U7-03 JANUARY 8, 2016 BY: RAMEEL KHAN ------------------------------------------------------------------------------------------------------------ INTRODUCTION The subject of physics applies calculus to many of its principles in order to explain various concepts and objects. In my HL math class, I have used calculus, such as differentiation and optimization, and applied it to kinematics (displacement, velocity, acceleration), which I started learning in my SL physics class. While looking for a topic for the exploration, I thought of pursuing this connection between calculus and physics, and discovered that calculus was present heavily in physics, even more than I had previously thought. While a lot of concepts used simple differentiation and derivatives, I found out that the concepts of work, forces, and energy used the more complex math of integration in order to explain them. Hence, I decided to explore the connection between integration and integrals (calculus) and work, forces, and energy (physics) and attempt to illustrate how integrals are used to come to conclusions about these physics concepts, as well as, on a more personal note, further my understanding of these concepts and connect my knowledge from two different IB classes. To summarize, the aim of this exploration is to explain work, elastic energy, and kinetic energy through integration and reflect on any knowledge that IShow MoreRelatedReal Life Uses For Improper Integrals1072 Words   |  5 PagesIB physics, calculus seemed only to be an abstract concept within the classroom. Yet as I started to learn more about the physical behaviours of the world around me, the significance of the link between mathematics and physics became much more apparent. 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