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Unformatted text preview: ISP209s10 Lecture 31 Today • Announcements: – HW#2 and extra credit #1 is due Wednesday 1/27 by 8:00 am – Pls. register your clickers on LONCAPA • Loose ends from last class • Law of Inertia (Newton’s 1st Law) • What is Force? Introduction ISP209s10 Lecture 32 A pictorial way to calculate rates of change • Draw a line tangent to the curve at the time you want. The line can be any length. • Mark two points on the line and record the values. • Calculate the slope of the tangent line s m t t d d speed m 59 . 5 . 2 3 . 9 2 6 1 2 1 2 = ! ! = ! ! = = ISP209s10 Lecture 33 Speed versus distance plot Example: Motion of a car as a function of time. We can get this graph from this one by repeating the previous calculation for several different times and plotting the points ISP209s10 Lecture 34 Homework Problem Traveling Car 1st sketch the speed vs. time graph Next, use the speed graph to sketch the acceleration vs. time graph ISP209s10 Lecture 35 Adding and Subtracting 2 Vectors • Imagine two vectors ( A and B )represent two walks, one in one direction and the other in another direction. • A negative sign means "go the opposite direction the arrow shows". • The resultant vector ( C) points from your original starting point to where you ended up at the end of the second walk. ISP209s10 Lecture 36 Adding and Subtracting 2 Vectors Example 1: ISP209s10 Lecture 37 Adding and Subtracting 2 Vectors Example 2: ISP209s10 Lecture 38 History of our effort to understand motion • Aristotle(384 BC – 322 BC) – Natural motions: items seek their natural locations – Violent motions like moving across the room require an agent • Galileo (15641642) – Tried to deduce the laws of motion from experiments – Introduced the concept of inertia. (Inertia is not a well defined concept.) • Isaac Newton (16431727) – Formulated laws that govern planetary motion and most ** motion we see in our daily lives – Invented Calculus along the way – Many view Newton (along w/Einstein) as the “greatest” ever ** Except for the very small (Quantum Mechanics) and fast (Special Relativity) ISP209s10 Lecture 39 • Aristotle distinguished three kinds of motion • Natural motion : falling objects and liquids, rising air...
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This note was uploaded on 05/04/2010 for the course ISP 209 taught by Professor Sherrill during the Spring '07 term at Michigan State University.
 Spring '07
 Sherrill

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