5 - Today Announcements: HW#3 due by 8:00 am Wednesday Exam...

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ISP209s10 Lecture 5 -1- Today • Announcements: – HW#3 due by 8:00 am Wednesday – Exam #1 on Thursday 2/11 – No class on Thursday 2/4 • Traveling Car Problem from HW#2 • Gravity • The Newtonian Worldview • Vectors (Hints for the boat problem)
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ISP209s10 Lecture 5 -2- Homework Problem Traveling Car 1st sketch the speed vs. time graph Then, use the speed graph to sketch the acceleration vs. time graph
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ISP209s10 Lecture 5 -3- Homework Problem Traveling Car A B C D • The regions in red have a constant slope (rate of change)
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ISP209s10 Lecture 5 -4- Homework Problem Traveling Car A B C D Regions A, B, C, D each have constant velocity, hence zero acceleration
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ISP209s10 Lecture 5 -5- Homework Problem Traveling Car A B C D Looking at the slopes (no need to calculate) , we have V B < V D < V A <V C
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ISP209s10 Lecture 5 -6- Homework Problem Traveling Car A B C D In the black “elbow” regions, the slope itself changes from point-to-point. There is non-zero acceleration here.
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ISP209s10 Lecture 5 -7- Homework Problem Traveling Car A B C D In the black “elbow” regions, the slope itself changes from point-to-point. There is non-zero acceleration here. Slowing Down Speeding up
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ISP209s10 Lecture 5 -8- Homework Problem Traveling Car A B C D The first elbow is “sharper” than the second one. I.e., its slope is changing faster as you go around the bend. Slowing Down Speeding up
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ISP209s10 Lecture 5 -9- Homework Problem Traveling Car A B C D Therefore, the magnitude of acceleration in the first elbow is GREATER than that of the 2nd elbow. Slowing Down Speeding up
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ISP209s10 Lecture 5 -10- History of astronomy in 1 slide Ptolomy : Earth-centered model of the motion of planets that worked well enough using epicycles. Copernicus: 1st Sun-centered model ** . Much simpler than Ptolomy’s w/equal accuracy Brahe : greatly improved accuracy of measurements and thus showed deficiencies in previous models Kepler : devised his three laws of planetary motion with the Sun
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5 - Today Announcements: HW#3 due by 8:00 am Wednesday Exam...

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