Worksheet
Accelerated Motion: Graph Shape Patterns
Printer Friendly Version
Refer to the following information for the next three questions.
Use your flash cards, or the lesson on graph shapes, to answer each of the following questions.
A
B
C
1. Each of the following graph shapes is a horizontal line. What general information does this say about the y-axis variable being graphed?
the variable's value is always positive throughout the time interval displayed on the graph
the variable's value is always negative throughout the time interval displayed on the graph
the variable's value remains constant throughout the time interval displayed on the graph - it does not increase or decrease
2. Suppose Graph A in question #1 represents a position-time graph. Which graph in question #1 would present its correct velocity-time graph?
Graph B
Graph C
none of the original three
3. Suppose Graph B in question #2 represents a velocity-time graph. Which graph in question #1 would present its correct acceleration-time graph?
Graph A
Graph C
none of the original three
Notes:
Hopefully you have now noticed these two relationships
s-t graph
slope of s-t graph
v-t graph
slope of v-t graph
a-t graph
We define:
velocity
to be the rate of change of displacement and
acceleration
to be the rate of change of velocity.
In questions #2 and #3, you determined that when an object's position does not change, its velocity is zero; and when an object's velocity does not change, its acceleration is zero.
Refer to the following information for the next four questions.
Use your flash cards, or the lesson on graph shapes, to answer each of the following questions.
D
E
F
G
4. Which of the graph or graphs shown above could represent a velocity-time graph of an object traveling in a positive direction?
Graph D
Graph E
Graph F
Graph G
5. Which of the graphs shown above could represent the velocity-time graph for an object uniformly losing speed in a positive direction?
Graph D
Graph E
Graph F
Graph G
6. Which of the graphs shown in question #4 would represent the velocity-time graph for an object uniformly gaining speed in a negative direction?
Graph D
Graph E
Graph F
Graph G
7. Which graph is question #1 would be the correct acceleration-time graph for both questions #5 and #6?
Graph A
Graph B
Graph C
none would be correct
Notes:
Hopefully you have now noticed this relationship
v-t graph
slope of v-t graph
a-t graph
Since acceleration is the rate of change of velocity (or the slope of a velocity-time graph), an object can experience a
positive acceleration
by either:
gaining speed (+) in a positive direction (+)
(+) x (+) = (+)
losing speed (-) in a negative direction (-)
(-) x (-) = (+)
Since velocity and acceleration are vectors, the rules of "signed numbers" can assist in remembering when an acceleration will be positive or negative.
No longer can you simply think of acceleration as gaining speed and decelerating as losing speed. You MUST also consider the object's direction of motion.
Refer to the following information for the next five questions.
Use your flash cards, or the lesson on graph shapes, to answer each of the following questions about the following position-time graphs.
H
I
J
K
8. Which graph or graphs show(s) an object moving in a positive direction?
Graph H
Graph I
Graph J
Graph K
9. Which graph or graphs show(s) in question #8 show an object with a positive acceleration?
Graph H
Graph I
Graph J
Graph K
10. Which graph in question #4 could represent a velocity-time graph for Graph J?
Graph D
Graph E
Graph F
Graph G
11. Which graph in question #4 could represent a velocity-time graph for Graph H?
Graph E
Graph F
Graph G
Graph H
12. Both Graph J and Graph H represent an object uniformly losing speed. Graph J has a negative acceleration while Graph H has a positive acceleration.
True or False: Since acceleration is a vector, the fact that they are traveling in opposite directions reverses the sign.
True
False
Notes:
Hopefully you have now noticed these two relationships
Graphs H and I form the two "halves" of a
parabola that opens upward
. They represent situations in which the
acceleration is positive
.
Graphs J and K form the two "halves" of a
parabola that opens downward
. They represent situations in which the
acceleration is negative
.
Remember that
acceleration can be calculated as the slope of a velocity-time graph
. The velocity graphs that correspond to Graphs H and I have
positive slopes
. While those corresponding to J and K have
negative slopes
.
Whenever an object is
losing speed
, its velocity graph moves
towards the x-axis
(where velocity = zero). When it is
gaining speed
, its velocity graph moves
away from the x-axis
to values on the y-axis that represent "greater" speeds.
Related Documents
Lab:
Labs -
A Photoelectric Effect Analogy
Labs -
Acceleration Down an Inclined Plane
Labs -
Ballistic Pendulum: Muzzle Velocity
Labs -
Coefficient of Friction
Labs -
Collision Pendulum: Muzzle Velocity
Labs -
Conservation of Momentum
Labs -
Cookie Sale Problem
Labs -
Flow Rates
Labs -
Freefall Mini-Lab: Reaction Times
Labs -
Freefall: Timing a Bouncing Ball
Labs -
Galileo Ramps
Labs -
Gravitational Field Strength
Labs -
Home to School
Labs -
InterState Map
Labs -
LAB: Ramps - Accelerated Motion
Labs -
LabPro: Newton's 2nd Law
Labs -
LabPro: Uniformly Accelerated Motion
Labs -
Mass of a Rolling Cart
Labs -
Moment of Inertia of a Bicycle Wheel
Labs -
Monkey and the Hunter Animation
Labs -
Monkey and the Hunter Screen Captures
Labs -
Projectiles Released at an Angle
Labs -
Ramps: Sliding vs Rolling
Labs -
Range of a Projectile
Labs -
Roller Coaster, Projectile Motion, and Energy
Labs -
Rube Goldberg Challenge
Labs -
Target Lab: Ball Bearing Rolling Down an Inclined Plane
Labs -
Terminal Velocity
Labs -
Video LAB: A Gravitron
Labs -
Video Lab: Ball Bouncing Across a Stage
Labs -
Video LAB: Ball Re-Bounding From a Wall
Labs -
Video Lab: Cart Push #2 and #3
Labs -
Video Lab: Falling Coffee Filters
Labs -
Video Lab: Two-Dimensional Projectile Motion
Resource Lesson:
RL -
Accelerated Motion: A Data Analysis Approach
RL -
Accelerated Motion: Velocity-Time Graphs
RL -
Analyzing SVA Graph Combinations
RL -
Average Velocity - A Calculus Approach
RL -
Chase Problems
RL -
Chase Problems: Projectiles
RL -
Comparing Constant Velocity Graphs of Position-Time & Velocity-Time
RL -
Constant Velocity: Position-Time Graphs
RL -
Constant Velocity: Velocity-Time Graphs
RL -
Derivation of the Kinematics Equations for Uniformly Accelerated Motion
RL -
Derivatives: Instantaneous vs Average Velocities
RL -
Directions: Flash Cards
RL -
Freefall: Horizontally Released Projectiles (2D-Motion)
RL -
Freefall: Projectiles in 1-Dimension
RL -
Freefall: Projectiles Released at an Angle (2D-Motion)
RL -
Monkey and the Hunter
RL -
Summary: Graph Shapes for Constant Velocity
RL -
Summary: Graph Shapes for Uniformly Accelerated Motion
RL -
SVA: Slopes and Area Relationships
RL -
Vector Resultants: Average Velocity
Review:
REV -
Test #1: APC Review Sheet
Worksheet:
APP -
Hackensack
APP -
The Baseball Game
APP -
The Big Mac
APP -
The Cemetary
APP -
The Golf Game
APP -
The Spring Phling
CP -
2D Projectiles
CP -
Dropped From Rest
CP -
Freefall
CP -
Non-Accelerated and Accelerated Motion
CP -
Tossed Ball
CP -
Up and Down
NT -
Average Speed
NT -
Back-and-Forth
NT -
Crosswinds
NT -
Headwinds
NT -
Monkey Shooter
NT -
Pendulum
NT -
Projectile
WS -
Accelerated Motion: Analyzing Velocity-Time Graphs
WS -
Accelerated Motion: Practice with Data Analysis
WS -
Advanced Properties of Freely Falling Bodies #1
WS -
Advanced Properties of Freely Falling Bodies #2
WS -
Advanced Properties of Freely Falling Bodies #3
WS -
Average Speed and Average Velocity
WS -
Average Speed Drill
WS -
Charged Projectiles in Uniform Electric Fields
WS -
Chase Problems #1
WS -
Chase Problems #2
WS -
Chase Problems: Projectiles
WS -
Combining Kinematics and Dynamics
WS -
Constant Velocity: Converting Position and Velocity Graphs
WS -
Constant Velocity: Position-Time Graphs #1
WS -
Constant Velocity: Position-Time Graphs #2
WS -
Constant Velocity: Position-Time Graphs #3
WS -
Constant Velocity: Velocity-Time Graphs #1
WS -
Constant Velocity: Velocity-Time Graphs #2
WS -
Constant Velocity: Velocity-Time Graphs #3
WS -
Converting s-t and v-t Graphs
WS -
Energy Methods: More Practice with Projectiles
WS -
Energy Methods: Projectiles
WS -
Force vs Displacement Graphs
WS -
Freefall #1
WS -
Freefall #2
WS -
Freefall #3
WS -
Freefall #3 (Honors)
WS -
Horizontally Released Projectiles #1
WS -
Horizontally Released Projectiles #2
WS -
Kinematics Along With Work/Energy
WS -
Kinematics Equations #1
WS -
Kinematics Equations #2
WS -
Kinematics Equations #3: A Stop Light Story
WS -
Lab Discussion: Gravitational Field Strength and the Acceleration Due to Gravity
WS -
Position-Time Graph "Story" Combinations
WS -
Projectiles Released at an Angle
WS -
Rotational Kinetic Energy
WS -
SVA Relationships #1
WS -
SVA Relationships #2
WS -
SVA Relationships #3
WS -
SVA Relationships #4
WS -
SVA Relationships #5
WS -
Work and Energy Practice: An Assortment of Situations
TB -
2A: Introduction to Motion
TB -
2B: Average Speed and Average Velocity
TB -
Antiderivatives and Kinematics Functions
TB -
Honors: Average Speed/Velocity
TB -
Kinematics Derivatives
TB -
Projectile Summary
TB -
Projectile Summary
TB -
Projectiles Mixed (Vertical and Horizontal Release)
TB -
Projectiles Released at an Angle
TB -
Set 3A: Projectiles
PhysicsLAB
Copyright © 1997-2017
Catharine H. Colwell
All rights reserved.
Application Programmer
Mark Acton