MOTION GRAPHSCREATING AND INTERPRETING

GRAPHS

WHAT DO WE KNOW

•On the paper provided, write down everything you know about graphs and graphing

Components of the GraphReview

•X- axis and Y-axis•Scale and Variables•Title•How do you determine•Scale•Maximize the graph paper

Interpreting GraphsThe purpose of a graph is to

show a RELATIONSHIP between 2 variables

1.Positive Relationships:•As one variable increases, so

does the other•Conversely, as one variable

decreases, so does the other.

On your paper

DRAW AN X AND Y AXIS AND THEN PLOT A LINE THAT SHOWS

A POSITIVE RELATIONSHIP

Positive Relationships

Interpreting Graphs

2. Negative or Inverse Relationships:•As one variable increases, the other decreases•Conversely, as one variable decreases the other increases.

On your paper

DRAW AN X AND Y AXIS AND THEN PLOT A LINE THAT SHOWS A NEGATIVE/INVERSE RELATIONSHIP

Negative Relationships

Line of Best FitLine of Best Fit: Straight line drawn through linear data. • The line does not necessarily connect the

data points but is drawn through the majority of points, with an equal number of points above and below the line.

MOTION GRAPHSGraphs that deal with motion will have the following variables on their X and Y axis:Distance/PositionSpeedTime

Distance and time will be used to calculate speed

Speed and time will give us acceleration

Speed andAcceleration

•Speed: How fast you are going

•Acceleration: A rate of change in speed. Are you speeding up or slowing down?

Distance, Time and Speed• Distance is the amount of space

BETWEEN 2 objects.• Time is an interval that has a

beginning and an end• Speed is the distance an object

travels in a specific amount of time.• Constant speed is the same

distance is traveled every second or time interval

Relationship Speed is directly related to

distance traveled

Relationship Speed is indirectly/inversely

related to the amount of time

Position-Time Graphs

On your paper explain how to find the speed of a car using a

position-time graph

Calculate the Speed….

Constant Speed• Position vs Time graphs will have a

straight line when the object is traveling at a constant speed.

Slope = Speed

Changing Speed• A position vs time graph will

have a curve when the object is traveling at a changing speed, steepness of the curve will indicate just how fast object is changing speed.

Calculating Speedv = d/tv = velocity or speed of an objectd = distance traveledt = time that it took to travel that particular distanceUnits for speed are distance per unit of time -or- m/sec -or- km/hr

Solve these problems

Use your notes to help you

• If a car travels 40 km in a time period of 2 minutes, what is its speed?• If a car travels 60 km at 20 km/hr, how long does it take?

What is the relationship between speed and time

(use your notes!)

Speed-Time Graphs for Acceleration

• Rate of change in an object’s speed• Slope = Acceleration•When you plot

speed vs. time, you now have the acceleration of an object.

•Describe the difference between speed and

acceleration

Distance from Speed vs. Time Graph

•Distance is equal to speed x time

•The area of a graph represents speed x time

•Therefore the area below the line of best fit is the distance traveled

Draw a speed-time graph that shows an object that is moving at a constant speed

Sample Data for 10 Meter Race:

Animal

Time/Trial 1

Speed

Time/Trial 2

Speed

Time/Trial 3

Speed

AverageSpeedm/sec.

Dog 6 second

6 7

Cat 8 second

7 8

Turtle 20 second

18 19

Mouse

15 second

14 15

Lizard 30 second

32 31

Sample Graph

1.What will be on the X-Axis?

2.What will be on the Y-Axis?

3.Name the 3 different types of graphs and then state which you will make for this set of data.