From Here to There

Discussion: Flights

• Did you successfully get the trolley to move?• How do you know it moved?•What evidence do you have that

it moved?

Discussion: Movement

•How would you describe the trolley’s movement to someone who wasn’t here to see it?

Position

• Everything has to be someplace.• In physics we refer to the place where

something is as position.• The symbol used in physics to indicate

position is the lowercase letter “x”. • Where have you see x used to indicate

the position of something?

Position

• Let’s model the air trolley and it’s movement.• If “x” indicates the position of

something, it looks to me as though the trolley is in two places at once. Is that possible?

Position

• How can we tell the two positions apart?• Which is the starting position and

which is the ending position?• Did the trolley go in this direction or

that direction?

Position

• Starting position is called initial position, which is represented by xi.• Ending position is called final position,

which is represented by xf.

Distance

• Distance an object traveled in another important piece of information about movement.• Distance can be measured in standard

metric units, like meters, centimeters, etc.• Distance is how far a moving object

went.

Distance

• Reference point on an object is important to establish to make sure measurements are accurate.

Change of Position

• The Greek letter delta, Δ, is used to indicate change.• Movement, or change in position, is

represented by Δx. • Distance is how far something moved, or

the amount of change of position.• Distance is represented by a lowercase d.

Develop a Distance Equation• Δx = change of position • d = distance• Distance is how far something travels, or

the amount of change of position.• Task: Work in your group to figure out

the equation for calculating distance, using the symbols we have learned so far.

Develop a Distance Equation

• Δx = change of position • d = distance• Here’s how you will start:• d = • You have 2 minutes…..•What did you come up with?

Develop a Distance Equation

• d = xf - xi

•Many times xi is 0, therefore,

• d = xf

Calculate flight distances• You are going to complete the

worksheet Flight Distances alone.• Remember to–Mark reference points with arrows.–Write the distance equation.–Calculate the distance traveled by the air

trolley in each of the three flights.–Show your work and include units with

your answers.

Glossary Entries

• Position (x): the location of an object at a given time.• Delta (Δ): change.• Distance (d): the amount of

change of position.

Equations Entry

Distance equationd = xf – xi

5 November 2104 Do Now

• Answer the following questions about the air trolley flights in your journal (TTQA)–Did all the trolleys travel the same distance?–What variables affected the distance the

trolleys flew?–If you were going to measure the distance

an air trolley flew, where would your xi and xf be? (hint: where would your reference point be?)

Review terms

• Position•Distance•Delta• Equation to calculating distance

Distance Project

•How can we set up an experiment to find out the relationship between number of winds and how far the trolley flies?

Distance Project Procedures

Distance Project Data

• Record the number of winds of the rubber band assigned to your group.• Conduct five trials and records the

flight distance.• Calculate the average distance your

trolley flies with your number of winds.

Distance Project Data

• Conduct trials – you have 15 minutes.• Clean up area• Gather and record class data.• Graph data

Class Data

Winds D (cm)

20

25

30

35

40

45

Graphing the data

15 20 25 30 35 40 45 500

2

4

6

8

10

12

Number of winds versus distance

Number of winds

Dis

tanc

e (c

m)

Graphing the data

0 5 10 15 20 25 30 35 40 45 500

50

100

150

200

250

300

350

Number of winds versus distance

Number of winds

Dis

tanc

e (c

m)

Graphing the data

0 5 10 15 20 25 30 35 40 45 500

50

100

150

200

250

300

350

Number of winds versus distance

Number of winds

Dis

tanc

e (c

m)

Distance Project Discussion/Analysis• What is the relationship between the

number of winds on the rubber band and the distance th trolley travels?• About how far will a a trolley travel

with 50 winds? 33 winds?• How many winds of the rubber band

will the trolley need to travel 100, 300, and 340 cm?

Vocabulary Review

• Define position. What is the symbol?• Define delta. What is the symbol?• Define motion.• Define distance. What is the symbol?• Define reference point.• What is the equation for calculating

distance?

Road Races

• This sheet shows pictures of the starting and ending positions for two races.• The number line between the pictures

of the starting and ending positions is in kilometers.• In race 1, places are provided for writing

the values of xi and xf. You may want to do the same thing for the other races.

Road Races

• Complete both sides of the sheet in 15 minutes.• Review of the answers.

Road Races

• Complete both sides of the sheet in 15 minutes.• Review of the answers.

Multimedia: Moving Along

• Fossweb.com• Student Log-in•Moving Along• Do at least one set of 5 – more if

possible!

Assess Progress: Self-Assessment

• Look back at your Quick Write on motion.• On a separate piece of lined

paper write what you know about motion – what is it and how do you know?

Assessment on Motion – Study Guide• Definition and symbols for: position, motion,

delta, distance, reference point, initial position, final position.• Equation for distance• Calculate the distance an object moves –

including reference points, initial and final positions, and showing your work.• Graphing distance including labeling the x & y-

axis, title, numbering the lines, and plotting the points.