8/18 Do Now Find your seat on the seating Chart, get out your HW, and work this problem: Ice Breaker...

8/18 Do Now

• Find your seat on the seating

Chart, get out your HW, and work this problem:

• Ice Breaker

• Review

• HW Review

• AP FR Practice

At time t = 0, car X traveling with speed v0 passes car Y. which is just

starting to move. Both cars then travel on two parallel lanes of the same straight road. The graphs of speed v versus time t for both cars are shown above.

4. Which of the following is true at time t = 20 seconds?

(A) Car Y is behind car X.

(B) Car Y is passing car X.

(C) Car Y is in front of car X.

(D) Both cars have the same acceleration.

(E) Car X is accelerating faster than car Y.

Ice Breaker – think, pair, share

• Individually: on an index card, write:– What you did this summer or something new

we should know about you – One question for me

• Partner next to you: share the information about each other and decide which question to ask me

• Share: introduce your partner and ask your question

Classroom Procedures

• Entering the Classroom– This is your haven – come in whenever you need a

place to be• Getting to work immediately

– You are on time if you have your notebook, pencil, and calculator and are working on the Do Now when the bell rings

• If you are tardy– Put your tardy slip on the front table and quietly get to

work – no disruptions• My office hours

– Mondays & Fridays, 3:10-4:10 pm– Wednesdays at lunch– Access– 7th period study hall

Suggested Notebook Organization

• Section 1: Do Now/Closure

• Section 2: Notes & In-class assignments

• Section 3: Homework

• Section 4: Labs

• Date & Unit on all pages

Emergency Procedures

• Fire– Unless it is blocked, go down the stairs, out the North Doors and

to the 50 yard line on the Mountain (West) side– If during a passing period, find your previous teacher on the North

field– If you are at the LMC or Health Room, stay with them– If you are in the bathroom, meet at 50 yard line

• Tornado– Go to Counselor’s Office

• Lockout (Yellow) – no on-campus hazard– Close windows & shades, lock doors, continue class

• Lockdown (Red) – immediate hazard on campus– Close windows & shades, lock doors, huddle quietly and out of a

line-of-sight

Why are you here?

• Individually, write down the reason you are taking this class. You will not have to share this information with anyone.

• Discussion

• Feynman: The Pleasure of Finding Things Out: – 00:25 to 3:38 (Science & Art)– 5:14 to 9:06 (Knowing the name of a thing)

What is the AP Physics Test like?

• Individually, write down two questions you have about the AP Test.

• MC & FR

• Handout: Equation Sheet

• Handout: Unit 1 Objectives

Review of a, v, t, x

• Calculus relations

• Derivation of equations for constant acceleration

• Graphs – – what do maxima and minima of velocity curve

mean?

• Your turn: derive an equation for velocity in terms of vo, a, x, and xo (i.e. eliminate t).

AP FR Practice

• 1982M2

• 15 min to work the problem then we will peer-grade according to the actual AP rubric

• I will check your HW while you are working

• After grading, you will think-pair-share about what you learned

• Reminder: KE = ½ mv2 and F=ma

The role of labs (skipped- not enough time)

• Feynman: The Best Mind Since Einstein– Theory vs. Reality (3:13 to 6:31)

• 5 Groups:– Conclusions– Analysis– Data– Procedure & Setup– Format & Writing

• For your category, list at least 5 things that are important to have in an excellent lab report– Present to the class

Thursday’s Lab: Maximum Range

• Purpose: To determine angle of launch for maximum range of a projectile– You may use any or all of the following:

• Stop watch; measuring tape; protractor; air rocket, launch pad, and bike pump; any three masses; string

– I must approve your procedure before starting

– You must predict the angle of maximum range before launching

8/18 Closure

• Start on your homework:– Revise 1982M2– Predict angle for optimum range and show

supporting calculations– Write lab procedure for Thursday

8/20 Do Now • Lab Report Rubric

• Lab

• Turn in your revised FR problem to the Period 3 bin• Annotate the Lab Report Rubric

– Find the part about how your grade depends on the accuracy of your prediction

• Reminder: the purpose of the lab is to determine angle of launch for maximum range of a projectile– You may use any or all of the following:

• Stop watch; measuring tape; protractor; air rocket, launch pad, and bike pump; any three masses; string

• On an index card with your name on it, write your prediction and turn it in.

Announcements

• Study hall period 7 is pretty open

• Unanswered questions

• Why this lab now?

Lab groups

• Safety & operation

• I will assign groups of 3

• Discuss your procedure and come to agreement BEFORE starting

• I must approve your procedure– I will review it for safety, not for accuracy

My expectations for lab report

• 5 pages max

• 4 hrs max

• Use my template!

• Show a graph

8/20 Closure

• HW Policy– one point per problem turned in on time – 50% credit for late

• Start HW:– Due Monday, 8/24:

• P. 32: #45 & 47 (2-9: Free Fall Acceleration)

• P. 53: #23 (3-6: Adding Vectors by Components)

– Due Tuesday, 8/25:• Draft of lab report; max time = 4 hrs; max pages = 5

8/24 Do Now • Vector visualization

• Lab Report concerns

• HW review

• Policies & Procedures• Get out your HW for grading: 3 points• On an index card with your name, rate yourself 1-4 on the

following then turn in to me when I check your HW:– 4 = I’m bored with Ch. 1-3; ready to move on– 3 = I have a few questions on Ch. 1-3 but feeling confident– 2 = I have many questions on Ch. 1-3 and am feeling behind– 1 = I’m really lost

• In your notes, draw a graph of the position, velocity, and acceleration of a ball from the time it is tossed from a height xo off the ground straight up at a velocity vo until it returns to the ground.

• If xo = 2 m and vo = 10 m/s, find the maximum height. (Assume g = -10 m/s2.)

Vectors

• Right hand coordinate system & right hand rule

• i, j, k notation

• Dot product

• Cross product– Hard way– Easy way

Vector Visualization• I will assign groups• Materials: tape & string• Groups 1 & 2

– Construct a 2-D coordinate system (right handed) using the tape provided; label each axis

– Construct two vectors in your coordinate system– Resolve one vector onto the i, and j axes– Calculate the magnitude of both vectors– Group 1: Illustrate the addition of the two vectors– Group 2: Illustrate the subtraction of the two vectors

• Groups 3 & 4:– Construct a 3-D coordinate system (right handed) using the tape

provided; label each axis– Construct two vectors in your coordinate system– Group 3: Illustrate the dot product of the two vectors– Group 4: Illustrate the cross product of the two vectors

Lab Report Questions & HW Review

• Which problems from Ch. 1 & 2 would you like to see solved?

Policies & Procedures

• Annotate the handout

• What does an “A” mean?

• HW expectations & grading

• Notebook organization: as you like but I need to check HW easily

8/24 Closure

• Start on the HW (due 8/25)– P. 33: #46, 53 (2-9: Free-Fall Acceleration)– P. 54: #12, 13, 15, 20, 21 (3-6: Adding Vectors

by Components)– Lab Report

8/25 Do Now • Lab Reports

• HW Review

• Revise Lab Reports

• Get out your HW for grading: 7 points

• Write on the board problems from Ch. 1 – 3 that you would like to see solved.

• Swap lab reports with someone NOT in your lab group and start grading

HW Review – Ch. 1-3

• Which problems from Ch. 1 - 3 would you like to see solved?

Lab Report Discussions

• What things need clarification?

• Start your revisions while I start individual discussions

8/25 Closure/Homework

• HW due 8/26:– P. 57: #75 & 77 (Additional Problems)

• HW due 8/31– Final draft of lab

8/26 Do Now • 3-D Motion

• Projectile Motion

• Labs

• Get out your HW for grading: 2 points• The acceleration of a particle along an x axis is a =

5.0t, with t in seconds and a in m/s2. At t = 2.0 s, its velocity is +17 m/s. What is its velocity at t = 4.0 s?

• A: +47 m/s• Annotate Policies & Procedures and syllabus. • HW: signed P&P and signed lab safety contract

(download from my web site)

Return FRQs

• Math and physics were great

• Improve logical flow & formatting

• Improve detail

• Improve explicit statements (e.g. KE = ½ mv2, a = dv/dt)

• Put a box around final answers

3D Motion in vector form

• v = dr/dt = d/dt(x i + y j + z k)

= dx/dt i + dy/dt j + dz/dt k

= vx i + vy j + vz k• a = dv/dt

= d/dt(vx i + vy j + vz k)

= dvx/dt i + dvy/dt j + dvz/dt k

= ax i + ay j + az k

Slide Adapted from Bertrand

2 D Motion or Projectile Motion

• 1 or 2-dimensional motion• Something is fired, thrown, shot, or hurled near

the earth’s surface• Horizontal velocity is constant• Vertical velocity is accelerated• Air resistance is ignored

Slide Adapted from Bertrand

Projectile Motion

• For the horizontal and vertical components, draw:– Acceleration vs. time

– Velocity vs. time

– Position vs. time

• Assume up is positive and down is negative (i.e. g = -9.8 m/s2)

• Derive y(x), given initial velocity vo and angle o.

• Derive R(o)

• Derivation using first principles

Projectile Motion

• Draw a graph of y vs. x.

• Label the direction of the acceleration vector.

• Label the direction of the velocity vector.

• How does the magnitude of the horizontal velocity change with time? The vertical?

• Where is there no vertical velocity?

• Where is the total speed maximum?

Labs & Data Analysis

• Feynman: The Best Mind Since Einstein– Theory vs. Reality (3:13 to 6:31)

• Curve fitting your data

• The power of the curve fit


• HW due 8/28:– P. 77 : #5, 7 (4-3 : Avg. & Inst. Velocity)– P. 77 : #9, 11 (4-4 : Avg. & Inst. Acc) – Signed P&P and signed lab safety contract

(download from my web site)

8/28 Do Now • Parametric Equations & Simple Harmonic Motion

• Get out your HW for grading: 4 points• Given: x(t) = Acos(t)i and y(t) = Asin(t)j:

A.Graph x(t) & y(t)B.Graph |y(x)|C.Write an equation for v(t) and graph itD.On your |y(x)| graph, show v(t=0), v(t= /4), and v(t=/2) E.Write an equation for v(x, y).F. What is |v(t)| and |v(x,y)|?G.On your graph, show a(t=0), a(t=/4), and a(t=/2) H.Write an equation for a(t) & a(x, y).I. What is |a(t)| and |a(x,y)|?

• Challenge: on the complex plane, graph v(t) and a(t) given position r(t) = Aeit


• Start on your HW, Due 8/31, 9 points

• P. 79: #44, 45, 46, 47, 48, 49, 51 (4-7: Uniform Circular Motion)– 44: 4.0 m/s2 – 46: (a) 0; (b) 0– 48: (a) 0.95 m; (b) 19 m/s; (c) 2.4 · 103 m/s2;

(d) 50 ms

• P. 80: #55 (4-8: Relative Motion in 1D)

• P. 80: #59 (4-9 Relative Motion in 2D)

8/31 Do Now • Do-Over from Friday

• Pull out homework for grading: 9 points– Write the numbers of any problems you had on the board

• Given: s(t) = x(t)i + y(t)j where x(t) = Acos(t) and y(t) = Asin(t) A.Solve for v(t) and a(t) B.Graph s(t) on an x-y axisC.On your graph, show v(t=0), v(t= /4), and v(t=/2) D.On your graph, show a(t=0), a(t= /4), and a(t=/2) E.Write an equation for v(x, y) and a(x, y)F. Show that |v(x, y)| = |v(t)| = AG.Show that |a(x, y)| = |a(t)| = 2AH.Solve for |a(t)| in terms of |v(t)|

HW Review & Extra Questions

• Which problems do you want to see worked?

If you don’t need help, do this:• Now that you have a generalized y(x) equation for

projectile motion, write a complete sentence or two describing how you would:– Find the maximum height

– Find the time-of-flight

– Find the position of the projectile at any given time t

– Find the velocity of the projectile at any given time t


• Start on your HW, Due 9/1, 4 points

• P. 83: #76, 83, 99, 112 (Ch. 4 Additional Problems)

9/1 Do Now • Test Prep

• Pull out homework for grading: 4 points– Write the numbers of any problems you had on the board

• Annotate the AP Unit Objectives– Add the following objective:

• Relate the radius of the circle and the speed or rate of revolution of the particle to the magnitude of the centripetal acceleration.

– Underline or highlight the important points– Underline or highlight the equations for this unit– Write down any questions you have

• Rate each Objective from 1 (worst) to 4 (best) based on your level of comfort

Think-Pair-Share

• TPS: pick 2 problems from the textbook that represent your weaknesses; pair with someone with same weakness and work problems together

• If no weaknesses, pick a 3-dot problem and solve it.


• Due Wednesday, 9/2:– For two of your strongest Objectives, write two

MC problems with correct answer and 4 incorrect but easily mistaken answers. Write the objective # on the upper left and your name on upper right. These questions should be on separate index cards.

• Test on Ch. 1 - 4: Tuesday, September 8th; 10 multiple choice and 1 free response question; equation sheet & calculator allowed

9/2 Do Now • Mini-Lab

• Practice FR Problem

2. An object slides off a roof 10 meters above the ground with an initial horizontal speed of 5 meters per second as shown above. The time between the object's leaving the roof and hitting the ground is most nearly

(A) s (B) s (C) s (D) 2 s (E) s

A: C; 75% correct.

Lab: Measuring Mass

• Materials: pulley, string, stopwatch, ring stands, rings, meter stick, 2 known masses of your choosing, mass hangar

• Find: the mass of a set of keys

• Rule: Cannot use a simple lever

• Goal: Less than 10% error

Lab Discussion

• What worked best and what didn’t?

Practice FRQ

• Review of what is expected for a FRQ

• Group assignments (8 groups)

+

Practice FRQAn object is shot out of a cannon at ground level at an angle with an initial velocity of 100 m/s. The cannon is a distance h above the ground.

• Group A: How long is the object in the air if = 90°?• Group B: How far does the object go if = 60° and

h=0?• Group C: How far does the object go if = 60° and h=

100m?• Group D: Derive a generalized equation for y(x) and use

it to verify Group C’s solution.

Swap peer-created MC Problems

• Swap with someone who has created problems for your weakness.

9/2-3 Closure/HW

• Due Tuesday, 9/8:– Lab report: Conclusions ONLY (also turn in

notes & data);

• Due Friday, 9/4:– Work two peer-created MC problems– Review notes and problems from Chapters 1-4

and be prepared with clarifying questions for Friday.

9/4 Do Now • Test prep

• Practice test

• How can you change your velocity without changing your speed? Give two examples.

• What will be your displacement between right now and 24 hours from now? Your distance?

Questions?

• Concepts?

• HW problems?

• What to expect?

• Other?

9/4 Closure

• Practice Test

• Index card:– 3 things you are comfortable with– 2 you will study more– 1 thing you are doing this weekend for fun

9/8 Do Now • Test prep

• Practice test

Get out equation sheet, calculator, pencil; Hand in Lab Report Conclusions &

notes/data

Extra Slides

8/18 Do NowAt time t = 0, car X traveling with speed v0 passes

car Y. which is just starting to move. Both cars then travel on two parallel lanes of the same straight road. The graphs of speed v versus time t for both cars are shown above.

5. From time t = 0 to time t = 40 seconds, the areas under both curves are equal. Therefore, which of the following is true at time t = 40 seconds?






4. Which of the following is true at time t = 20 seconds?






Answers

• 1984 CM– #4: A: Car Y is behind car X.

– #5: B: (B) Car Y is passing car X.

8/29 Do Now

• On the board, write the page and number of any homework problems you would like to see solved today

• Group yourselves accordingly and start work on the handout:– Group A: Questions a.1 and a.2– Group B: Question a.3– Group C: Question b.1– Group D: Question b.2

Concept Maps (skip)

• Example: HyperPhysics• In groups I assign, map these terms:

– Acceleration– Velocity– Position– Displacement– Instantaneous– Average– Vector– Scalar– Dot product– Cross product

Understandings for this Unit (1)1. Motion in one dimension

a) Students should understand the general relationships among position, velocity, and acceleration for the motion of a particle along a straight line, so that:

(1) Given a graph of one of the kinematic quantities, position, velocity, or acceleration, as a function of time, they can recognize in what time intervals the other two are positive, negative, or zero, and can identify or sketch a graph of each as a function of time.

(2) Given an expression for one of the kinematic quantities, position, velocity, or acceleration, as a function of time, they can determine the other two as a function of time, and find when these quantities are zero or achieve their maximum and minimum values.

Understandings for this Unit (2)

b) Students should understand the special case of motion with constant acceleration, so they can:

(1) Write down expressions for velocity and position as functions of time, and identify or sketch graphs of these quantities.

(2) Use the equations

and

to solve problems involving one-dimensional motion with constant acceleration.


c) Students should know how to deal with situations in which acceleration is a specified function of velocity and time so they can write an appropriate differential equation and solve it for v(t) by separation of variables, incorporating correctly a given initial value of v.


2. Motion in two dimensions, including projectile motion

a) Students should be able to add, subtract, and resolve displacement and velocity vectors, so they can:

(1) Determine components of a vector along two specified, mutually perpendicular axes.

(2) Determine the net displacement of a particle or the location of a particle relative to another.

(3) Determine the change in velocity of a particle or the velocity of one particle relative to another.


b) Students should understand the general motion of a particle in two dimensions so that, given functions x(t) and y(t) which describe this motion, they can determine the components, magnitude, and direction of the particle’s velocity and acceleration as functions of time.

What is Newton talking about? Where are modern large observatories located? Why? Are there ways to remove the twinkle? What advantages does this offer?Write 3 sentences.

“If the Theory of making telescopes could be fully brought into Practice, yet there would be certain Bounds beyond which Telescopes could not perform. For the Air through which we look upon the Stars is in perpetual Tremor; as may be seen by the tremulous Motion of Shadows cast from high towers, and by the twinkling of the fix'd stars…The only remedy is a most serene and quiet Air, such as may perhaps be found on the tops of the highest Mountains above the grosser clouds.” Isaac Newton, “Opticks” (1704)

Gemini South Observatory

Cerro Pachon,

Chile

Gemini North Laser, Mauna Kea, Hawai’i

Feynman Index

• The Pleasure of Finding Things Out: – 00:25 to 3:38 (Science & Art)– 3:38 to 5:14 (Bedtime stories)– 5:14 to 9:06 (Knowing the name of a thing)

• The Best Mind Since Einstein– Theory vs. Reality (3:13 to 6:31)– Nobel Prize (3:47 to 7:36)

8/18 Do Now Find your seat on the seating Chart, get out your HW, and work this problem: Ice Breaker...

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Transcript of 8/18 Do Now Find your seat on the seating Chart, get out your HW, and work this problem: Ice Breaker...