Part 1: Reading Skills

AP Physics C Summer Assignment Part 1: Reading Skills Read “Giancoli: Physics for Scientists & Engineers” chapter 1. Use it as a reference. It is a scanned copy of the chapter of a textbook which appears in a word file titled “ap physics summer assgt reference” It can be downloaded from the school web site, teacher pages, Justin Siering, AP Physics c, summer assignment, summer assignment reference Part 2: Unit Conversions and Sig Figs Answer the following from the end of chapter 1. I attached the relevant pages at the end of this file. Pages 14-17: Problems & General Problems 1, 2, 3, 4, 12, 28, 51, 52, 55 Part 3: Variable Isolation A large part of the curriculum and the AP Test involves solving problems for one variable in terms of another variable. You will need to practice re-arranging equations. The subscripts are assigned to specific variables…be careful to keep them together. Manipulate the following equations algebraically to solve for the specified variable.

2 2 2 a. v = vo + 2a(x-xo) , x= b. Us = ½ kx , x= c. , r= d. mgh = 1/2 mv2, v=

2 e. x = xo + vot + ½ at , t= f. , di= g. , vs= h. nisini=nrsinr , i= i. , P2= j. , v =

Part 4: Relationships Let’s say that a value A is proportional to x and y such that . If the values of x and y will be changed as follows, what will happen to the value of A? All changes start off as the regular equation (2 does not use the values from 1, etc.) 1. x is unchanged, y is doubled 2. x is tripled, y is unchanged 3. x is doubled, y is doubled 4. x is unchanged, y is halved 5. x is doubled, y is halved Part 5: Units Many of the problems that we will be solving can be solved more easily if you consider the units being used. This section is to help you practice using units.

Dimensional analysis even works with nonsense units. In this case, it is the procedure you are practicing - - see if you REALLY know how to do this!

28 yipyaps = 1 foop 12 foops = 1 zark

1 zark = 20 neeks 1 neek = 50 blips

1. How many blips are in one yipyap?

2. How many foops are in 3 neeks?

3. How many neeks are in 5 foops?

Part 6: Geometry Solve the following geometric problems.

a. solve for angle A in the diagram at top left b. ABC is a right triangle. AM is perpendicular to BC. The size of angle ABC is equal to 55 degrees. Find the size of angle MAC in the figure at top right.

Part 7: Trigonometry Solve each problem. a. A right triangle has a hypotenuse of 19 units and is elevated at an angle of 41 degrees above the horizontal. Find the other angle and both legs. b. A right triangle has a vertical leg of 17 units and a hypotenuse that is 33 degrees from vertical. Find the other angle, the other leg and the hypotenuse. c. A right triangle has a hypotenuse of 17 units and a vertical leg of 12 units. Find the horizontal leg and each angle. d. A right triangle has a horizontal leg of 21 units and a vertical leg of 17 units. Find the hypotenuse and each of the angles. Part 8: Vectors Most of the problems that we will be solving will consist of vector units. It is important that you are able to resolve vectors into components and find resultants. a. A plane flies at an angle of 73 degrees South of East (-73 degrees on a coordinate plane) for 227 miles and then flies East for 150 miles. What is its displacement from its starting point? b. A bee looking for honey flies 750 feet north then 250 feet at 37 degrees north of east (+37 degrees on a coordinate plane), then 100 feet south and finally 50 feet east. What is the bee’s displacement from the hive? How far and in which direction will he have to fly to return to the hive? c. Rearrange the vectors graphically.

d. A 250 m wide river flows from North to South at 0.80 m/s. You attempt to row a boat across it. If your rowing speed is 5 m/s, how long will it take to cross the river? How far downstream will you be when you hit the shore? e. A 62 km/h wind blows toward 215 degrees. What is the resultant velocity of a plane that flies toward 125 degrees at 120 km/h? Part 9: Pre-Calculus Find the following limits (if they exist). If there is no limit or if it is ± ∞, say so. Show any work that you do. a. b. c. d. e. f.

Part 10: Calculus Calculus is essential to this course and will be necessary from early on. For those of you who have already studued Calculus, this will be a refresher. For others this will be new information. We will be focused mainly on derivitaves and antiderivatives (integrals). These are some fairly basic examples of each. Even if you have not yet taken Calculus, I want you to try them. They all use the power rule, the chain rule, the product rule or the quotient rule. You can find help available online.

Derivation Find the derivative of each function. a. y=10x3 b. y = 1/3 x3 c. y= 8x6 + 2x17 d. y = 2x12 + 6x7 + x4 e. y = ½ x-2 f. y=(5/3)x3 + (7/6)x6 – (6/4)x8 g. y=(x2 + 1)(x+1)2 h. y= x(x7 + 15)3 i. j. y=2x2 -3x+7 find both first and second derivative Integration Integrate each function. a. ∫4x3dx b. ∫(8x5 + 7)dx c. ∫ 4dx / (x+7)2 d. ∫ 20+4t2 dt e. ∫ 5x3 -3x +15 dx f. g. Part 11: Graphs

Part 12: Algebra Simplify the polynomials in 1-6 1. 4x5(9x3) 2. -7x5(3x2) 3. 65x19y17 / 13x5y5 4. (4x2y5)3 5. [(3x6y11)/(10x2y5)] x [(20x5y8)/(12x4y3)] 6. (3a2 + 6a)/(3a) 7. Solve the System: XY = 28, Y = 3X – 5. X= , Y= 8. Find the remainder if (x2 + 5x + 6) is divided by (x+2) 9. Find the remainder if (x2 -3x -10) is divided by (x+2)2

Part 13: Writing a procedure Write a procedure (in steps) for a simple task or your choosing. It needs to be detailed enough so that it can be followed. Possible examples are tying a shoe, making a sandwich, etc.