Lab
Acceleration Down an Inclined Plane
Printer Friendly Version
Introduction
We will be examining the acceleration of a cart rolling down an incline plane. The inclination of the plane will be very slight so that only a small component of the gravitational acceleration will cause the cart to move. We will use the LabPro motion detector to record the position and velocity of the cart at different points of time for one trial.
You will start by releasing a cart down an incline from a state of rest. If there is only one set-up, each group will go in turn until all groups have collected data.
The LabPro will collect the data and display it for your group.
In the table below, record the time, position, and velocity data for 8 unique times during the cart's descent.
data point
time
position
velocity
(sec)
(m)
(m/sec)
1
2
3
4
5
6
7
8
On graph paper, plot your data for the cart's
Position (m) verses Time (sec)
. Make sure to clearly label your axes with units and to include appropriate intervals that will use the majority of the graph paper.
This link
will provide you with graph paper that you can print if needed.
What is the shape of your graph?
hyperbolic
linear
parabolic
square root
Data Analysis
Since our x-axis represents time, what variable and unit would you place in the first column of the following chart to rectify your position-time data to be linear.
The methods to rectify, or linearize, a data set are listed below:
for a hyperbola (where y is inversely proportional to x) you would plot the re-calculated data as
1/x | y
.
for a parabola (where y is proportional to x
^{2}
) you would plot the re-calculated data as
x
^{2}
| y
.
for a square root (where y is proportional to the SQRT(x), you would plot the re-calculated data as
SQRT(x) | y
.
You can study the lesson and examples on rectifying data patterns on
this page
.
On graph paper plot your data in the above table (Question 6). Make sure to clearly label your axes with units and to include appropriate intervals which will use the majority of the graph paper.
Draw a line of best fit and calculate the line's slope. Make sure to include a unit with your numerical answer.
Knowing that s = ½at
^{2}
, what was the acceleration of your cart? Make sure to include a unit with your numerical answer.
Using graph paper, now plot a graph of
Velocity (m/sec) versus Time (sec)
using the original data collected from the LabPro in Question 3. Draw in a line of best fit.
What was the slope of your regression line? Be sure to include units with your numerical answer.
Refer to the following information for the next three questions.
Conclusions
Compare the slopes of your graphs for Question 10 and Question 8. The slope of your graph in Question 10 is ____ the slope of the graph in Question 8.
approximately half as large as
practically equal to
approximately twice as large as
Compared to the acceleration that you calculated in Question 9, the slope in Question 10 is
greater
the same
less
Determine a percent difference between the accelerations you obtained from your slopes in Question 10 and acceleration in Question 9.
A completed lab involves turning in all three graphs (Questions 4, 8, 10) as well as submit your results online.
Related Documents
Lab:
Labs -
2-Meter Stick Readings
Labs -
A Photoelectric Effect Analogy
Labs -
Addition of Forces
Labs -
Ballistic Pendulum: Muzzle Velocity
Labs -
Circumference and Diameter
Labs -
Collision Pendulum: Muzzle Velocity
Labs -
Conservation of Momentum
Labs -
Cookie Sale Problem
Labs -
Density of a Paper Clip
Labs -
Determining the Distance to the Moon
Labs -
Determining the Distance to the Sun
Labs -
Eratosthenes' Measure of the Earth's Circumference
Labs -
Flow Rates
Labs -
Freefall Mini-Lab: Reaction Times
Labs -
Freefall: Timing a Bouncing Ball
Labs -
Galileo Ramps
Labs -
Home to School
Labs -
Indirect Measurements: Height by Measuring The Length of a Shadow
Labs -
Indirect Measures: Inscribed Circles
Labs -
Inertial Mass
Labs -
InterState Map
Labs -
Introductory Simple Pendulums
Labs -
LAB: Ramps - Accelerated Motion
Labs -
Lab: Rectangle Measurements
Labs -
Lab: Triangle Measurements
Labs -
LabPro: Newton's 2nd Law
Labs -
LabPro: Uniformly Accelerated Motion
Labs -
Marble Tube Launcher
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 -
Quantized Mass
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 -
The Size of the Moon
Labs -
The Size of the Sun
Labs -
Video LAB: A Gravitron
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 -
Basic Trigonometry
RL -
Basic Trigonometry Table
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 -
Curve Fitting Patterns
RL -
Derivation of the Kinematics Equations for Uniformly Accelerated Motion
RL -
Derivatives: Instantaneous vs Average Velocities
RL -
Dimensional Analysis
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 -
Linear Regression and Data Analysis Methods
RL -
Metric Prefixes, Scientific Notation, and Conversions
RL -
Metric System Definitions
RL -
Metric Units of Measurement
RL -
Monkey and the Hunter
RL -
Potential Energy Functions
RL -
Properties of Lines
RL -
Properties of Vectors
RL -
Significant Figures and Scientific Notation
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
RL -
Vectors and Scalars
Review:
REV -
Honors Review: Waves and Introductory Skills
REV -
Physics I Review: Waves and Introductory Skills
REV -
Test #1: APC Review Sheet
Worksheet:
APP -
Hackensack
APP -
Puppy Love
APP -
The Baseball Game
APP -
The Big Mac
APP -
The Cemetary
APP -
The Dognapping
APP -
The Golf Game
APP -
The Pool Game
APP -
The Spring Phling
APP -
War Games
CP -
2D Projectiles
CP -
Dropped From Rest
CP -
Freefall
CP -
Inverse Square Relationships
CP -
Non-Accelerated and Accelerated Motion
CP -
Sailboats: A Vector Application
CP -
Satellites: Circular and Elliptical
CP -
Tensions and Equilibrium
CP -
Tossed Ball
CP -
Up and Down
CP -
Vectors and Components
CP -
Vectors and Resultants
CP -
Vectors and the Parallelogram Rule
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 -
Advanced Properties of Freely Falling Bodies #3
WS -
Average Speed and Average Velocity
WS -
Average Speed Drill
WS -
Calculating Vector Resultants
WS -
Charged Projectiles in Uniform Electric Fields
WS -
Chase Problems #1
WS -
Chase Problems #2
WS -
Chase Problems: Projectiles
WS -
Circumference vs Diameter Lab Review
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 -
Data Analysis #1
WS -
Data Analysis #2
WS -
Data Analysis #3
WS -
Data Analysis #4
WS -
Data Analysis #5
WS -
Data Analysis #6
WS -
Data Analysis #7
WS -
Data Analysis #8
WS -
Density of a Paper Clip Lab Review
WS -
Dimensional Analysis
WS -
Energy Methods: More Practice with Projectiles
WS -
Energy Methods: Projectiles
WS -
Force vs Displacement Graphs
WS -
Frames of Reference
WS -
Freefall #1
WS -
Freefall #2
WS -
Freefall #3
WS -
Freefall #3 (Honors)
WS -
Graphical Relationships and Curve Fitting
WS -
Horizontally Released Projectiles #1
WS -
Horizontally Released Projectiles #2
WS -
Indirect Measures
WS -
Kinematics Along With Work/Energy
WS -
Kinematics Equations #1
WS -
Kinematics Equations #2
WS -
Kinematics Equations #3: A Stop Light Story
WS -
Mastery Review: Introductory Labs
WS -
Metric Conversions #1
WS -
Metric Conversions #2
WS -
Metric Conversions #3
WS -
Metric Conversions #4
WS -
Position-Time Graph "Story" Combinations
WS -
Projectiles Released at an Angle
WS -
Properties of Lines #1
WS -
Properties of Lines #2
WS -
Rotational Kinetic Energy
WS -
Scientific Notation
WS -
Significant Figures and Scientific Notation
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
TB -
Working with Vectors
TB -
Working with Vectors
REV -
Math Pretest for Physics I
Copyright © 2007-2015
William A. Hilburn
All rights reserved.