Simulation Software Integration Connect Velocity and Acceleration to Mathematical Models.

Slides:

Advertisements

Similar presentations

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

Advertisements

Acceleration Acceleration Velocity-time graph Questions.

Distance Time Graphs Time is always plotted on x axis

Linear Motion III Acceleration, Velocity vs. Time Graphs.

GRAPHICAL ANALYSIS OF MOTION

IF WE MEASURE DISTANCE AND TIME, WE GET:

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

The graphs… Game. Today we are going to describe motion using motion graphs... First, let’s look at constant position, or no motion The object would have.

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.

Acceleration & Speed How fast does it go?. Definition of Motion Event that involves a change in the position or location of something.

Motion Graphs Review. Interpret The Graph Below:

Forces and Motion Lesson 3 – Interpreting Motion Graphs Ms. Newsome and Ms. Tripp 8 th Grade Science.

Acceleration- Change in Velocity

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.

Graphing Velocity and Distance vs. Time graphs

Acceleration “lets go faster!”. Some background Before we start acceleration lets review velocity. Velocity is the change in position over the change.

Motion IPC NOTES. MOTION & POSITION motion – a change in an object’s position relative to a reference point.

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

3.2 Notes - Acceleration Part A. Objectives  Describe how acceleration, time and velocity are related.  Explain how positive and negative acceleration.

Acceleration Acceleration – the rate at which velocity changes  Can be an: Increase in speed Decrease in speed Change in direction.

Linear Motion with Constant Acceleration. Effects of acceleration Object ’ s speed changes every second, therefore the distance covered each second is.

Derivative Examples 2 Example 3

Motion Velocity & Acceleration. Speed vs. Velocity

Interpret The Graph. The graph shows an object which is not moving (at rest). The distance stays the same as time goes by because it is not moving.

Motion Graphs (p in notebook). Interpret The Graph Below: (As time increases, ….)

“Motion in a Straight Line” Two types of kinematics' analysis: Scalar: measures magnitude (size) only Examples: mass, distance, speed, Vector: measures.

Graphs of a falling object And you. Objective 1: Graph a position –vs- time graph for an object falling from a tall building for 10 seconds Calculate.

Motion Graph Rapid Fire. What is the velocity from 0-2 s ?

Introducing: Motion and Forces

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

Graphical Analysis Of Motion

2-2 Acceleration At the start of a race what happens?

X t x2 At time t1 the object cannot be at two positions x1 and x2 at once. x1 t1.

Objective SWBAT use velocity-time graphs to determine an object’s acceleration.

A Mathematical Model of Motion

Graphing Velocity and Distance vs. Time graphs

(D-T Graphs, sometimes called P-T or Position-Time Graphs)

Sometimes speed changes.

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

Graphing Motion Walk Around

(Set up for Cornell Notes)

Speed, Velocity, and Acceleration

Kinematics Formulae & Problems Day #1

Chapter 4, Section 2 Graphs of Motion.

Exploring motion Graphing.

Graphing Velocity and Distance vs. Time graphs

II. Describing Motion Graphing

Acceleration Notes Change in Velocity Direction Motion Time Distance

Section 3 – pg 350 Acceleration

Graphing Motion Distance Time graphs (AKA position time)

Unit 1: Learning Target 1.5 Create & Interpret Motion Graphs:

Motion Part 2: Distance-Time Graphs.

The resulting position-time graph would look like this.

Speed and Velocity What is speed?

DISTANCE VS TIME GRAPHS

Velocity-Time Graphs for Acceleration

Using Kinematic Equations

Chapter 4, Section 2 Graphs of Motion.

Motion in One Dimension (Position vs. Time) Chapter 5.1

Station 1 [A- C] Give a real world example of each of the 3 ways a car can accelerate [D] The velocity of a car increases from 20 m/s at 3.0 seconds to.

Exploring motion Graphing.

Interpret The Graph.

The resulting position-time graph would look like this.

Acceleration Notes Change in Velocity Direction Motion Time Distance

Presentation transcript:

Simulation Software Integration Connect Velocity and Acceleration to Mathematical Models

Graphing Motion Introduce Linear Functions Unit with Linear Regression activity collecting walking distance data. Review this with students using Moving Man Applet with velocity only. lation/moving-man

Student Review What equation can you write to model a man starting a 0 with a velocity of 2m/s? – Let’s use x to represent time and y to represent his position. – Based on this equation, how long should it take for him to hit the wall? – Verify this with the simulation software. What is the equation if he is at 6 feet and walks at speed of.25m/s? – How long should it take him to hit the wall? – Were you correct? What if he is at -4 feet and walks at a speed of.25m/s. Create your own example. – How long do you expect it to take him? Were you correct?

Add Acceleration So far we have been walking at a constant rate with a straight line graph or linear function. What do you predict the line will look like if the walker accelerates as he is walking. (Gets consistently faster) Lets try, position the walker at -10, with velocity of 1 m/s and acceleration of 1m/s2. Review the playback. What was happening to his speed during over time? What did the graph of velocity vs time look line? How did his speed increase? After 2 seconds, what was his speed? Is the velocity curve linear?

Compare Distance over time Linear and with Acceleration Now look at the graph of distance vs time. – Is this still linear? – Can you use your equation to calculate distance like you did before? – Why or Why not? Looking for students to recognize that the since the rate is changing that the line is no longer linear.