Misconceptions in Kinematics

Slides:

Advertisements

Similar presentations

Motion and Force A. Motion 1. Motion is a change in position

Advertisements

Physics Lab 1 Graph Matching Mr. Chin-Sung Lin. Kinematics.

Graphical Representation of Velocity and Acceleration

Lecture 5: Motion in One Dimension With Changing Velocity

A Conceptual Approach To Teaching Kinematics Mark Rosenquist and Lillian McDermott A Review by Marsha Turin and Lisa Henderson TechBoston Academy.

Analysis of a position vs. time graph Analysis of a velocity vs. time graph What can be determined from a position vs. time graph? What can be determined.

Practicing with Graphs

Position-Time and Velocity-Time Graphs

Kinematics Equations.

Every slope is a derivative. Velocity = slope of the tangent line to a position vs. time graph Acceleration = slope of the velocity vs. time graph How.

Science Starter! Complete the worksheet “Science Starter!” (on teacher’s desk).

2 Motion in One Dimension Displacement, velocity, speed Acceleration Motion with Constant Acceleration Integration Hk: 13, 27, 51, 59, 69, 81, 83, 103.

MOTION. Chapter Four: Motion  4.1 Position, Speed and Velocity  4.2 Graphs of Motion  4.3 Acceleration.

Interpreting Motion Graphs {Forces and Motion. Distance vs Time Graphs The motion of an object is defined by its change of position over a period of time.

Position-Time and Velocity-Time Graphs

Speed vs. Time Graphs.

Displacement vs Time, Velocity vs Time, and Acceleration vs Time Graphs.

Acceleration Physics 1 Dimensional Motion Chapter 2 Section 2 – pages

Diagrams and Motion Graphs.  The slope is equal to the acceleration.  Because we only consider constant acceleration, v/t graphs will always be straight.

Velocity-Time Graphs What is it and how do I read one?

Graphing Motion, Speed and Velocity. Graphs of Motion A Distance vs. time graph that is a straight line always means the object moves the same.

Velocity vs. Time Analysis of a Velocity vs. Time graph.

Mrs. Wharton’s Science Class.  Is the rate at which velocity changes  Acceleration involves a change in either speed or direction  In science acceleration.

Do you know your x-t graphs?. x t Slowing Down (in the positive direction) Negative Acceleration 

Motion Graphs, kinematics - 2

Graphing motion.

I.A.1 – Kinematics: Motion in One Dimension. Average velocity, constant acceleration and the “Big Four”

Motion Graphs Let’s go over the basics.. Acceleration vs. time graphs (a vs. t) These graphs are boring, and will only have a straight line above the.

How to read a motion graph.

Interpreting Motion Graphs. Position vs. time graphs The slope of the graph is equal to the velocity The slope of the graph is equal to the velocity If.

Instantaneous Velocity The velocity at an instant of time. For a curved graph, use very small intervals of time.

Kinematics Kinematics is the science of describing the motion of objects using words, diagrams, numbers, graphs, and equations.

Acceleration in Graphs 9/27/2011. Position vs. Time Graph For this graph, where is the velocity positive? Where is the velocity zero? Where is the velocity.

1.1Motion and Motion Graphs. Kinematics Terminology Scalar vs. Vector Scalar: quantities that have only a size, but no direction – ie: distance, speed.

Graphical Model of Motion. We will combine our Kinematics Equations with our Graphical Relationships to describe One Dimensional motion! We will be looking.

Let’s Review VELOCITY is the SLOPE of a distance, position, or displacement vs. time graph.

Mechanics 1 : Kinematics

Position-Time and Velocity-Time Graphs

Motion Graphs Position-Time (also called Distance-Time or Displacement-Time) d t At rest.

Graphical Analysis Of Motion

Motion Graph Shapes.

Position-Time and Velocity-Time Graphs

Distance vs. Time Graphs

Consider a car moving with a constant, rightward (+) velocity - say of +10 m/s. If the position-time data for such a car were.

Acceleration Changing velocity (non-uniform) means an acceleration is present Acceleration is the rate of change of the velocity Units are m/s² (SI)

Graphing Motion Walk Around

Aim: How do we interpret velocity-time graphs?

Motion Map Practice Name: ____________________________

Kinematics Kinematics is the science of describing the motion of objects using words, diagrams, numbers, graphs, and equations.

Position-Time and Velocity-Time Graphs

1. Distance vs. time graphs

Position-Time and Velocity-Time Graphs

The resulting position-time graph would look like this.

I. Changing Motion An object speeds up or down.

Chapter 4, Section 3 Acceleration.

Velocity-Time Graphs for Acceleration

Position-Time and Velocity-Time Graphs

Velocity vs Time Graphs – Notebooks

Warm-up I will answer questions about Worksheet #4 before you turn it in! (5 minutes after the bell) Sketch a velocity vs time graph and acceleration.

Position vs Time Graphs

Position-Time and Velocity-Time Graphs

Create graphs to match these prompts

The resulting position-time graph would look like this.

Kinematics II Acceleration.

Presentation transcript:

Misconceptions in Kinematics A review of research with connections to Active Physics

“DIFFICULTIES IN CONNECTING MOTION GRAPHS TO PHYSICAL CONCEPTS” McDermott et al, June 1987

Misconceptions

Misconceptions Students have difficulty with: The difference between the slope and height of a graph. Changes in height and slope.

Misconceptions Students have difficulty with: Relating one type of graph to another(position, velocity, acceleration) Matching narrative information with related features of a graph The meaning of the area under a graph

Misconceptions Students have difficultly with: Representing continuous motion with a line or curve Differentiating between the shape of a graph and the path of the motion Negative velocity, constant acceleration

Instructional Strategies

Instructional Strategies Three graphs of same shape Position, Velocity, Acceleration Aids in students’ ability to identify differences in ways information is conveyed

Instructional Strategies Graphs in different contexts Other physics topics (ex: heat transfered vs. temperature) Contexts outside scope of physics (ex: oil consumption vs. time)

Instructional Strategies Transfer between graph and real-world phenomena Given an object’s behavior, graph observed phenomenon Given graphs, construct a track that will show corresponding behavior.

Active Physics

Active Physics Many of these strategies are built in Connection of real-word and graphs Ex: Sports 1 Activity Four: Carl Lewis’s Race Challenge for teacher--remember misconceptions When possible, confront students with those misconceptions (ex: The position graph is going up, so that means it’s speeding up, right?)

Active Physics Take advantage of opportunities to connect real-world phenomena with graphs. Quick sketches of graphs for observed phenomena develop students’ understanding of the nature of graphs. Given graphs, have students reproduce phenomena. Show graphs that “appear” similar. What makes them different?