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Welcome to AP Physics CSUMMER ASSIGNMENT 2017PHYSICSPearson Education, Inc., 2013 (eBook)Randall D. KnightCalifornia Polytechnic State University – San Luis ObispoISBN: 9780321753052Price: 49.97MasteringPhysics with Pearson eText (1-year access)for MasteringPhysicsPurchase (in August)Media Access Card for Classical Mechanics and Electricity & MagnetismISBN: 9781319066529Price: 39.99AP Advantage: Physics C (optional)Workbook EditionPeoples Education, 2004James MooneyThe Taft SchoolWatertown, CTISBN: 97814138-04928Price: 22.00Copyright 2017 R McCall. All rights reserved. Printed in the USA.Page 1

Materials: A composition notebook for daily work, and homework problemsA small amount of college ruled paperA scientific graphing calculator (TI-83, TI-84, etc.)A clear plastic metric rulerPencils (NO PENS!) to be brought to class every day (mechanical pencils preferred)USB Flash drive (for downloading online physics information)You have embarked upon a wonderful adventure! You have made a great decision and apowerful commitment in taking AP Physics C!!This summer assignment has a two-fold purpose: First, to decrease the amount of new material that you will have to master during the school yearfor the AP Exam in May 2018.Second, to present an opportunity for you to earn some early strong grades as you begin the firstquarter with confidence.AP Physics C Summer Assignment: 20171. Download the summer textbook (Physics with Calculus by Craig Fletcher) and the bound quadrillenotebook. These items will make the summer assignment easier and clearer.2. Read Chapters 1-4. This is UNIT 1. Please complete the summer assignment. You have plenty of time.– DON’T WAIT UNTIL THE LAST MINUTE!!3. A problem quiz that will cover each chapter will be during the second week of class.4. Attached to this summer assignment is Summer Calculus Worksheet.5. Another attachment to this summer assignment is the IN-CLASS EXAMPLE PROBLEMS from Chapters1-4 to complete. The IN-CLASS EXAMPLE PROBLEMS are included in this packet. The most importantthing in this problem assignment is your completely worked-out solutions. The problems will begraded on your worked out solutions.Incomplete or absent work NO CREDIT! Show me ALL the steps!6. All the worked-out solutions to the IN-CLASS EXAMPLE PROBLEMS, the worked-out solutions tothe Summer Calculus Worksheet, and the detailed notes from chapter 4 are due the first day ofclass at the beginning of class!You will not receive credit if you do not turn in these on the first day of class. There are NO EXCUSES.7. When submitting your summer assignment, please complete your work in Notability and submit itinto Schoology on August 9th, our first day of class.Questions? Contact Mr. McCallmccallr@bishopmoore.orgCopyright 2017 R McCall. All rights reserved. Printed in the USA.Page 2

UNIT 1: PHYSICS BASICS, MOTION, & VECTORSREADING & NOTES, PROBLEMS, AND ANSWERSFor the summer assignment, please download this Physics with Calculus textbook pdf by Craig Fletcher.CHAPTER 1MATH REVIEWRead Chapter 1. Review the math concepts. Try answering the questions on p. 23-24.Check your worked-out solutions against the Solutions to Ch 1 link.CHAPTER 2DERIVATIVESRead Chapter 2. Remember your AP Calculus AB course. Consider how we will use calculus in physics next year.Please make note of the examples given in this chapter.CHAPTER 3INTEGRALSRead Chapter 3. Remember your AP Calculus AB course. Consider how we will use calculus in physics next year.Please make note of the examples given in this chapter.CHAPTER 4KINEMATICSRead Chapter 4. Take detailed notes on Ch 4. Pay close attention to the author’s notes and observations.Complete IN-CLASS EXAMPLE PROBLEMS on pages 4-7 of this packet.Copyright 2017 R McCall. All rights reserved. Printed in the USA.Page 3

APC Physics UNIT 1PHYSICS BASICS, MOTION,AND VECTORS IN ANY DIMENSIONCH 1-4 IN-CLASS EXAMPLE PROBLEMSDISPLACEMENT, VELOCITY, & ACCELERATION1.The velocity of an object as a function of time is given by v 3t 2 - 2t 5 (measured in m/s). Find the average acceleration of theobject between t 3.0 s and t 5.0 s.DERIVATIVES IN PHYSICS2.The position of an object as a function of time is given by x -4t2 5t – 3.a)Find a function for the object’s velocity as a function of time.b)What is its velocity at t 2.0 s?c)At what time(s) is the object at rest?3.The position of an object as a function of time is given by x -7 2t3. At what time(s) is the object moving at a velocity of 8.5m/s?4.The position of an object as a function of time is given by x 5t(lnt). What is its velocity at t 2.0 s?MAXIMUM AND MINIMUM5.The position of an object as a function of time is given by x 5t 2 – 2t3a)Find the object’s acceleration function.b)What is the object’s maximum position?c)What is the maximum velocity of the object?Copyright 2017 R McCall. All rights reserved. Printed in the USA.Page 4

KINEMATICS AND FREE-FALL6.7.A car, initially moving with a positive velocity of 22.0 m/s, applies its brakes for 28.0 meters, slowing at a rate of 7.60 m/s2.a)For how much time are the brakes applied?b)What is the car's final speed after braking?A model rocket is launched straight upward from rest at ground level. It accelerates with a constant upward acceleration of 2.0m/s2 until its engines stop at an altitude of 150 m. Assuming no parachute opens up, and no air resistance in general, howmuch total time does it take for the rocket to reach its highest point?INTEGRALS IN PHYSICS8.An object is moving as indicated in thevelocity-time graph shown to the right.Find the object's displacement duringthe 50.0 s interval.9.The acceleration of an object is given by a 2t - 12t2, and its velocity at t 0 is 5.0 m/s.What is its velocity at t 4.0 s?VECTORS10. A toy airplane first flies for 350 m at an angle of 13 above the horizontal, and then flies for 200.0 m at an angle of 29 below thehorizontal. What is the plane's resultant displacement?Copyright 2017 R McCall. All rights reserved. Printed in the USA.Page 5

11. Vector A (5i 3j)m and Vector B (3i – 4j)m.a)Find A B in unit vector notation.b)Find A-B in unit vector notation.c)Now give A-B as a magnitude and angle.UNIT VECTORS IN MOTION12. An object’s velocity is initially v 2i - 5j, and then 5.0 seconds later it is v 6i 3j, all in m/s. In unit-vector notation, what is theobject's acceleration during the 5.0 seconds?13. An object has an initial velocity given by v 8i m/s, and then undergoes an acceleration given by a (-2i 4j) m/s2. Calculatethe object's velocity (in unit-vector notation) at t 3.0 s.14. A particle moves so that its position (in meters) as a function of time (seconds) is r 3i 6tj - 3t2k. In unit-vector notation, findits velocity at t 4.0 s.15. An object is initially located at the origin, moving with an initial velocity of (-5i 3j) m/s. The object's acceleration in m/s2 isgiven by a (2t 3)i 6t2j. Find the magnitude and direction of the object's velocity at t 3.0 seconds.16. A particle leaves the origin with a constant acceleration of (5i - 2j)m/s2, and an initial velocity of (3i 4j)m/s. Find the particle'sposition vector (in unit-vector notation) when it reaches its maximum y-coordinate.Copyright 2017 R McCall. All rights reserved. Printed in the USA.Page 6

PROJECTILE MOTION17. A projectile is launched horizontally at 12.0 m/s from the top of the building that is 40.0 m tall. How far does the projectilemove horizontally before it lands on the ground?18. A ball is launched from a cliff at an initial angle of 35 to the horizontal, at a speed of 30.0 m/s. What is its speed at the time ithas moved 200.0 m in the horizontal direction?CIRCULAR MOTION19. An Earth satellite moves in a circular orbit 7000.0 km from the center of the Earth, with a period of 98.0 minutes. Find themagnitude of the satellite's speed and acceleration.20. A particle moves along a circular path over a horizontal xy plane at a constant speed. At time t 1 3.00s, its acceleration vector isgiven by (3i-5j) m/s2. At time t2 7.00 s its acceleration is given by (-3i 5j) m/s2.Find the radius of the particle's circular path.Copyright 2017 R McCall. All rights reserved. Printed in the USA.Page 7

SUMMER CALCULUS WORKSHEETUse what you know from previous calculus classes, or what you have learned from the lecture videos on Calculus Review tocomplete the following problems.POWER RULE DERIVATIVESFor each of the following functions, find the derivative (𝑑𝑦𝑑𝑥)with respect to x:1)𝑦 5𝑥 22)𝑦 4𝑥3)𝑦 8𝑥 34)𝑦 25)𝑦 2𝑥 16)𝑦 4𝑥 3 2𝑥 19)𝑦 ln 𝑥12)𝑦 sin(3𝑥 1)15)𝑦 (5𝑥 2 3𝑥)(ln 𝑥)OTHER COMMON DERIVATIVESFor each of the following functions, find the derivative (7)𝑦 cos 𝑥𝑑𝑦𝑑𝑥) with respect to x:8)𝑦 𝑒𝑥CHAIN RULE DERIVATIVESUse the chain rule to help you find the derivative (10)𝑑𝑦𝑑𝑥) for each of the following functions:𝑦 (𝑥 2 4)311)𝑦 𝑒 3𝑥PRODUCT RULE DERIVATIVESUse the product rule to help you find the derivative13)𝑦 (𝑥 2 )(2𝑥 7)𝑑𝑦( ) for each of the following functions:𝑑𝑥14)𝑦 2𝑥 3 𝑒 𝑥Copyright 2017 R McCall. All rights reserved. Printed in the USA.Page 8

MAXIMUM AND MINIMUM VALUESFind the maximum y-coordinate reached by the following functions:16)𝑦 3𝑥 2 12𝑥17)𝑦 2𝑥 2 20𝑥 12INDEFINITE INTEGRALSUse the idea of un-doing a derivative to find the following indefinite integrals:18) 3𝑥 2 𝑑𝑥19) (8𝑥 3 2𝑥) 𝑑𝑥22) 1 (4𝑥 1)𝑑𝑥20) (5𝑥 3 1)𝑑𝑥DEFINITE INTEGRALSEvaluate each of the following definite integrals:21)2 0 (6𝑥 2 3)𝑑𝑥5CALCULUS AND GRAPHSUse calculus ideas to find the required graphical values of the following functions:𝒚 𝒙𝟐 𝟑𝒙 𝟓 at the point (2,5).23)Find the instantaneous slope of the function24)For the same function used in problem 23, find the area under the curve between x 0 and x 2.Copyright 2017 R McCall. All rights reserved. Printed in the USA.Page 9

AP PHYSICS C2017-2018 COURSE SYLLABUS1st SEMESTER:(approximately 16 weeks)UNIT 1:Chapters 1-4UNIT 2:Chapters 5-8UNIT 3:Chapters 10-11UNIT 4:Chapters 9UNIT 5:Chapters 12UNIT 6:Chapters 13-14Physics Basics, Motion, and VectorsTEST #1(approximately 11 days)Forces, and Circular MotionTEST #2(approximately 14 days)Work and EnergyTEST #3(approximately 14 days)Linear Momentum & Center of MassTEST #4(approximately 13 days)Rotational Motion & Static EquilibriumTEST #5(approximately 12 days)Gravitation & OscillationsTEST #6(approximately 12 days)Cumulative Semester Exam (UNITS 1-6)Copyright 2017 R McCall. All rights reserved. Printed in the USA.Page 10

2nd SEMESTER:(approximately 17 weeks)UNIT 7:Electric Forces, Fields, and Gauss’s LawChapters 25-27TEST #1(approximately 15 days)UNIT 8:Electric Potential and CapacitorsChapters 28-29TEST #2(approximately 17 days)UNIT 9:Electric Currents, Resistance and CircuitsChapters 30-31TEST #3(approximately 13 days)UNIT 10:Magnetism and Electromagnetic InductionChapters 32-33TEST #4(approximately 12 days)AP PHYSICS C REVIEW(approximately 15 days)MECHANICS TOPICSTEST #5ELECTRICITY AND MAGNETISM TOPICSTEST #6AP PHYSICS C EXAM – MAY 7TH (MONDAY AFTERNOON)Copyright 2017 R McCall. All rights reserved. Printed in the USA.Page 11

AP Physics C Summer Assignment: 2017 1. Download the summer textbook (Physics with Calculus by Craig Fletcher) and the bound quadrille notebook. These items will make the summer assignment easier and clearer. 2. Read Chapters 1-4. This is UNIT 1. Please complete the summer assignment. You