UNIFORM MOTION

Uniform motion can be described by a simple Uniform motion can be described by a simple mathematical ratio. mathematical ratio. Both distance and time measurements are Both distance and time measurements are required to describe uniform motion.required to describe uniform motion.

Describing Uniform Motion

Oddly enough uniform motion does not necessarily have Oddly enough uniform motion does not necessarily have any “feel”of motion at all. (How could this be so?)any “feel”of motion at all. (How could this be so?)

Mathematically uniform motion is:Mathematically uniform motion is: A A RATIORATIO: : VV=∆d/∆t. This idea includes the =∆d/∆t. This idea includes the slopeslope of of

the velocity graph that is, the ratio of ∆d:∆tthe velocity graph that is, the ratio of ∆d:∆t change in distance. . . . . . . change in distance. . . . . . . ∆d = d ∆d = d f f - d - d i i ((RISERISE))

change in time. . . .. . . . . . .change in time. . . .. . . . . . . ∆t = t ∆t = t f f - t - t i i ((RUNRUN))

A A VECTORVECTOR quantity having both: quantity having both: a magnitude and a magnitude and a direction.a direction.

Measuring UNIFORM Motion

Time and distance must Time and distance must both be measured. both be measured. ( In the ( In the example at the right the data table example at the right the data table is designed and prepared for the is designed and prepared for the drawing of two graphs.)drawing of two graphs.) Distance /time graph (d, t)Distance /time graph (d, t) Acceleration graph (Acceleration graph (V, V, t)t)

What would these graphs look What would these graphs look like? The first graph at the right is like? The first graph at the right is uniform motion.uniform motion.

How is this different from non How is this different from non uniform motion?( 2nd graph-click)uniform motion?( 2nd graph-click)

Velocity & Acceleration.

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0.00 0.20 0.40 0.60 0.80Time (seconds)

"Velocity Graph" (∆d/∆t) d=vt "

"Acceleration Graph" (∆v/∆t) V=at

Velocity & Acceleration

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0.00 0.20 0.40 0.60 0.80Time (seconds)

"Velocity Graph" (∆d/∆t) d=vt "

"Acceleration Graph" (∆v/∆t) V=at

The Language of Motion

-1- Make a Chart (all on one page landscape orientation ) for the terms -1- Make a Chart (all on one page landscape orientation ) for the terms on p296. Use the center -page picture to help develop comprehension..on p296. Use the center -page picture to help develop comprehension..

-2- Check your Understanding by doing the questions 1-5 on p304-2- Check your Understanding by doing the questions 1-5 on p304

-3- Read about -3- Read about VECTORSVECTORS pp300 & 301 (Make content notes.) pp300 & 301 (Make content notes.) Develop your understanding by doing “Heading for Home” pp302 Develop your understanding by doing “Heading for Home” pp302

&303) &303)

Term Symbol(s) Calculation Unit Explanation

ExampleDistance

D distance∆d interval

df (f = final)

dI (I = initial)

∆d= df - dimcm

Length of journey or trip.It says nothing of thedirection or path traveled.

Scientific Measurement

This skill will be developed on a needs This skill will be developed on a needs basis. The following resources will help basis. The following resources will help develop skills in recording and interpreting develop skills in recording and interpreting scientific measurements:scientific measurements: Power point: Power point: Scientific MeasurementScientific Measurement Related practice worksheets.Related practice worksheets. Related practical activities.Related practical activities.

EXPLORING Uniform Motion

The worksheet at the right allows you to The worksheet at the right allows you to change the variables of :change the variables of : distance, “distance, “dd” / time, “” / time, “t”t”

The table recalculates and redraws the The table recalculates and redraws the velocity and acceleration graphs for the new velocity and acceleration graphs for the new variables entered.variables entered.

Do the Do the Data Studio WorkbooksData Studio Workbooks: : “matchgraph1.ds-matchgraph4.ds” They will “matchgraph1.ds-matchgraph4.ds” They will help you get a feel for uniform motion as help you get a feel for uniform motion as they relate movement to the shape of a graph.they relate movement to the shape of a graph.

Worksheet

1- WALKING IN UNIFORM MOTION p308-309 1- WALKING IN UNIFORM MOTION p308-309 Use the table provided: Use the table provided: measure data for walking in uniform motion. Make measurements for 12m /12s in equal measure data for walking in uniform motion. Make measurements for 12m /12s in equal

timetime intervals. intervals. Then complete the graphs. DO Q1-7 p308-309Then complete the graphs. DO Q1-7 p308-309

Review Precision pp299-300Review Precision pp299-300

2- Read p305 2- Read p305 9.39.3 “Measuring Motion” with TICKER-TAPE “Measuring Motion” with TICKER-TAPE

Do Questions 3-6 p314.Do Questions 3-6 p314. Do two graphs for comparison one for Do two graphs for comparison one for uniformuniform one for one for non-non-

uniformuniform motion. Use about 1.6m of tape. motion. Use about 1.6m of tape.

Consolidation 1: Uniform Motion

Worksheet

Worksheet

Worksheet Worksheet

Worksheet

Motion PROJECT

-1-DESIGN AND BUILD A MOUSETRAP CAR-1-DESIGN AND BUILD A MOUSETRAP CAR. .

The design parameters and approved materials list The design parameters and approved materials list

are in the handout. are in the handout. http://http://scifairscifair..ednetednet..nsns.ca/CKCLS/isci10/mtc02/.ca/CKCLS/isci10/mtc02/mywebquestmywebquest/index./index.htmhtm

Completion date for the car with 10 m trial run __________Completion date for the car with 10 m trial run __________

-2- PROJECT REPORT-2- PROJECT REPORTModify for (2.5-10 m) run if necessary and collect data for the car’s Modify for (2.5-10 m) run if necessary and collect data for the car’s

motion characteristics. ( depending on how the motion is motion characteristics. ( depending on how the motion is measured, ticker-tape, stopwatch, sonic ranger . . . )measured, ticker-tape, stopwatch, sonic ranger . . . )

Completion date for the project report. __________Completion date for the project report. __________

Consolidation REVIEW: Uniform Motion -1-Complete the two tasks, “EXPLORING Uniform Motion” -1-Complete the two tasks, “EXPLORING Uniform Motion”

Spreadsheet simulation ∆d/∆t, ∆v/∆tSpreadsheet simulation ∆d/∆t, ∆v/∆t Qualitative simulationQualitative simulation

Quantitative simulationQuantitative simulation

-2- Complete the quiz on shapes and trends of typical motion graphs -2- Complete the quiz on shapes and trends of typical motion graphs for uniform and non-uniform motion.for uniform and non-uniform motion.

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THE END

Last modified, January 2002Last modified, January 2002