AP PHYSICS 1
(SECONDARY)
ESSENTIAL UNIT 2 (E02)
(Motion in Two Dimension)
(Giancoli chapter 3)
(July 2015)
Unit Statement: The student will study two dimensional motion with a focus on projectile
motion. In order to fully comprehend 2D motion, students will also discuss the application of
vectors through adding, subtracting and multiplying them. (Estimated class time three weeks)
Essential Outcomes: (must be assessed for mastery)
1. The Student Will represent two dimensional quantities in diagrams or mathematically
using appropriately labeled vectors with magnitude, direction, and units during the
analysis of a situation. (LO 3.A.2.1,SP 1.1)
2. TSW express two dimensional motion of an object using narrative, mathematical, and
graphical representations. (LO 3.A.1.1, SP 1.5, SP 2.1, SP 2.2)
3. TSW analyze experimental data describing two dimensional motion of an object, and
express the results of the analysis using narrative, mathematical, and graphical
representations. (LO 3.A.1.3, SP 5.1)
4. TSW design an experimental investigation of two dimensional motion of an object.
(LO 3.A.1.2, SP 4.2)
Introduced and Practiced Outcomes: (not formally assessed)
1. The Student Will calculate launch angle, distance, velocity and acceleration of two
dimensional motion.
Guided or Essential Questions:
 Why is knowledge of vectors and component calculation vital to understanding two
dimensional motion?
 How are the kinematics equations applied to objects experiencing two dimensional motion?
 How do variables such as launch angle, velocity and altitude affect the maximum
height and range of a launched projectile?
 Analyze and describe the motion of a projectile if its horizontal motion is independent
of its vertical motion.
Key Concepts:









Adding, Subtracting & Multiplying
Vectors
Vector and Scalar Quantities
Resultant Vector
Components
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Projectile Motion
Relative Velocity
Displacement
Tail to Tip Method
Parallelogram method
Common Equations for this Unit:
Schedule of suggested laboratory experiments (guided inquiry format is suggested for labs
shaded in gray)
TSW #
Lab #
Name of Laboratory
Description of Lab
2
7
“Addition of Forces (Vectors)”
Students investigate the PhET simulations (alone or in
pairs) and discover what they are able to do and/or
demonstrate. Students must first become familiar with
the controls, and then they are instructed to try different
scenarios, documenting what they attempt and the
subsequent results. Student–teacher discussion follows
to check for misconceptions and to answer student
questions.
http://phet.colorado.edu/en/simulation/vector-addition
http://ngsir.netfirms.com/englishhtm/Vector.htm
Students will use a smartphone compass feature to
create at least five displacement vectors to reach a
common destination point. Ten meter lengths of string,
marked with one meter increments, are used for
measuring distance and the smartphone compass is used
for angle measurements. Students share results in class.
“Vector Addition”
2,4
3,5
8
9
Smartphone Compass
3.5 Initial Velocity
Components
If smartphones not available:
http://phet.colorado.edu/en/simulation/motion-2d or
http://phet.colorado.edu/en/simulation/ladybugmotion-2d ( both have teacher/students worksheets
available)
Web Simulation
Reinforces calculation of the initial launch components.
http://media.pearsoncmg.com/bc/aw_young_physics_11
/pt1a/Media/ProjectileMotion/InitialVelocityComponent
s/Main.html
Associated Science
Practices
1.1, 1.2, 1.4, 2.1,
2.2, 3.1, 4.1, 4.2,
4.3, 5.3, 6.1, 6.4,
7.2
1,1, 1.4, 1.5, 2.1,
2.2, 3.3, 4.1, 4.2,
4.3, 5.1, 6.1, 6.2,
6.4, 7.2
1.1, 1.2, 1.4, 1.5,
2.1, 2.2, 3.1, 3.2,
3.3, 4.1, 4.2, 4.3,
5.1, 5.2, 5.3, 6.1,
6.2, 6.4, 7.2
1-4
10
Dart Gun Lab
Student groups launch darts at an angle from the ground
and calculate initial launch velocity (speed and launch
angle). No protractors allowed, only timers and
measuring tape or sticks.
Puri and Zober
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QSI AP PHYISCS SEC E02
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1.4, 1.5, 2.1, 2.2,
3.1, 4.1, 4.2, 4.3,
5.3, 6.1, 6.4, 7.2
Suggested Materials:
1. Giancoli, D.C. Physics: Principles with Applications. Englewood Cliffs, NJ: Pearson
Education.
2. Appel, K, Ballen, C, Gastineau, J, Vernier, D. Physics with Vernier. Beaverton, OR;
Vernier Software and Technology, 2010.
3. Puri, O; Zober, P. Physics. A laboratory manual; Boston, Mass. N.Y: Pearson
Custom Pub., 2002. 8th edition
Suggested Technology Resources:
Labs, in class activities, videos and demos:
 Dart Lab (Look at bottom of page for Word document)
http://teachingphysics.wordpress.com/2008/11/15/projectile-motion-lab/
Online quizzes or homework assignments:
 http://www.physics247.com/physics-homework-help/componentsquiz1.php - TSW 1
 http://www.physics247.com/physics-homework-help/projectilequiz2.php- TSW 3
Note- All links to online resources were verified before publication. In cases where links are no
longer working, we suggest that you try to find the resource by a keyword internet search.
RUBRIC FOUND ON FOLLOWING PAGE……………………………………….
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SUGGESTED RUBRIC AP PHYSICS 1 E02
Student Name: __________________________ Date: _______________________
 To receive a ‘B’, the student must show ‘B’ level mastery on all essential outcomes (TSW’s).
 The teacher’s discretion on the student’s holistic performance on the unit, including such items as: the above ‘A’ level rubric, the unit project, group work and class
discussions will determine ‘A’ level mastery.
 If grading for AP test preparation, please refer to Course Outcome Rubric.
The Student Will
1. TSW represent two dimensional quantities in
diagrams or mathematically using appropriately
labeled vectors with magnitude, direction, and
units during the analysis of a situation. (LO
3.A.2.1,SP 1.1)
‘A’* LEVEL
Represents and justifies 2D quantities in diagrams or
mathematically using correct vector notation for
analysis.
‘B’ LEVEL
Represents 2D quantities in diagrams or
mathematically using correct vector notation for
analysis.
2. TSW express two dimensional motion of an
object using narrative, mathematical, and
graphical representations. (LO 3.A.1.1, SP 1.5,
SP 2.1, SP 2.2)
Students must master all three points
For example: A boat is traveling north directly
across a river that is 5.0 km across. The current is
to the east at 3.0 km/h. The boat travels at 5.0
km/h. (a) What is the boat’s resultant velocity?
(b) How long does it take to cross the river? (c)
How far down the bank does it drift before it
reaches the far side?
Students must master all three points
1. Narrative Representations
Given graphical or mathematical representations of
2D motion, students can accurately express that
motion in words.
For example: When using the sight on a rifle, you
should aim right for the bulls-eye. Explain how to
design a sight so that it will cause the user to hit the
target. Explain with words and a diagram.
1. Narrative Representations
Given graphical or mathematical representations
of 2D motion, students give a general overview of
the motion in words.
For example: A cart is traveling at constant
velocity on a flat track and shoots a ball into the
air as it moves. Describe what happens to the
ball.
2. Graphical Representations
Given narrative or mathematical representations of 2D
motion, students can accurately draw the graph
associated with that motion.
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QSI AP PHYISCS SEC E02
Copyright © 1988-2015
2. Graphical Representations
Given narrative or mathematical representations
of 2D motion, students can draw the graph
associated with that motion with limited errors.
For example: Given the following situation of a
marble in motion on a rail (ignore air resistance):
v = 10. m/s h = 1.5 m
Comments
a. Sketch
motion maps
showing the
motion of the
marble after it leaves the rail. Sketch motion
maps for x, y, vx, vy, ax, and ay.
3. TSW analyze experimental data describing two
dimensional motion of an object, and express the
results of the analysis using narrative,
mathematical, and graphical representations.
(LO 3.A.1.3, SP 5.1)
4. TSW design an experimental investigation of
two dimensional motion of an object. (LO
3.A.1.2, SP 4.2)
3. Mathematical Representations
Given narrative or graphical representations of 2D
motion, students justify their computations for
quantities as position, displacement, distance,
velocity, speed and acceleration.
3. Mathematical Representations
Given narrative or graphical representations of 2D
motion, students express (compute) quantities as
position, displacement, distance, velocity, speed
and acceleration.
For example: You wish to fire an anti-aircraft
shell to intercept an enemy plane flying towards
you at 600 mph and an altitude of 42,000 ft. If the
plane is initially 20 miles away, and your artillery
piece has a muzzle velocity of 2000 ft/sec, how
long do you have to adjust the piece to an angle of
60o and fire?
Thorough and detailed analysis and justification of
experimental data is demonstrated and results are
expressed with complete understanding.
Analysis of experimental data is demonstrated and
results are expressed with basic understanding.
Student performs the experimental investigation that
he/she designed.
Student designs an experimental investigation.
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QSI AP PHYISCS SEC E02
Copyright © 1988-2015