Resource Lesson
Constant Velocity: Position-Time Graphs
Printer Friendly Version
Given below is a strobe picture of a ball rolling across a table. Strobe pictures reveal the position of the object at regular intervals of time, in this case, once each 0.1 seconds.
Notice that the ball covers an equal distance between flashes. Let's assume this distance equals 20 cm and display the ball's behavior on a graph plotting its x-position versus time.
The slope of this line would equal 20 cm divided by 0.1 sec or 200 cm/sec. This represents the ball's average velocity as it moves across the table. Since the ball is moving in a positive direction its velocity is positive. That is, the ball's velocity is a vector quantity possessing both magnitude (200 cm/sec) and direction (positive).
The following physlet by John M. Clement will allow you to test your understanding of this relationship between an object's linear motion and the graphical representation of its behavior.
Position-Time Physlet
Animation created by John M. Clement © 2000 all rights reserved.
Given below are five combinations of position-time graphs for one-dimensional motion. On each graph, the slope represents the object's velocity.
s vs t
- the object is
standing still
at a positive location. Since the slope equals zero it has no movement.
s vs t
- the object is traveling at a constant
positive velocity
. The locations of its position are increasingly positive.
s vs t
- the object is traveling at a constant
positive velocity
but is traveling through a negative region. For example, a car is traveling north on South Clyde Morris Boulevard towards International Speedway.
s vs t
- this slope represents a constant
negative velocity
since the object is traveling in a negative direction at a constant rate. Notice that the locations of its position are becoming less and less positive.
s vs t
- the object is traveling at a constant
negative velocity
through a negative region. For example, a car is traveling south on South Clyde Morris Boulevard towards Dunlawton. The locations of its position are increasingly negative.
Refer to the following information for the next five questions.
Let's practice obtaining information from position-time graphs with the following graph. The y-axis represents position in meters and the x-axis represents time in seconds.
During which intervals was he traveling in a positive direction?
0 to 2 sec
2 to 5 sec
5 to 6 sec
6 to 7 sec
7 to 9 sec
9 to 11 sec
During which intervals was he traveling in a negative direction?
0 to 2 sec
2 to 5 sec
5 to 6 sec
6 to 7 sec
7 to 9 sec
9 to 11 sec
During which interval was he resting in a negative location?
0 to 2 sec
2 to 5 sec
5 to 6 sec
6 to 7 sec
7 to 9 sec
9 to 11 sec
During which interval was he resting in a positive location?
0 to 2 sec
2 to 5 sec
5 to 6 sec
6 to 7 sec
7 to 9 sec
9 to 11 sec
During which two intervals did he travel at the same speed?
0 to 2 sec
2 to 5 sec
5 to 6 sec
6 to 7 sec
7 to 9 sec
9 to 11 sec
Refer to the following information for the next eight questions.
What was his average speed in the first 5 seconds?
What was his average speed in the last 5 seconds?
What was his average velocity during the first 8 seconds?
What was his average velocity from 6 to 10 seconds?
What total distance did he travel?
What was his average speed for the entire 11 seconds?
What was his net displacement for the entire 11 seconds?
What was his average velocity for the entire 11 seconds?
Related Documents
Lab:
Labs -
A Photoelectric Effect Analogy
Labs -
Acceleration Down an Inclined Plane
Labs -
Ballistic 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 -
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
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: 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: Graph Shape Patterns
WS -
Accelerated Motion: Practice with Data Analysis
WS -
Advanced Properties of Freely Falling Bodies #1
WS -
Advanced Properties of Freely Falling Bodies #2
WS -
Average Speed and Average Velocity
WS -
Average Speed Drill
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 -
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 © 1997-2014
Catharine H. Colwell
All rights reserved.
Application Programmer
Mark Acton