graphing distance-time graphs (calculating speed and average speed)

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Graphing Distance-Time Graphs (Calculating Speed and Average Speed)

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Practice Graphing DistanceTime 0 meters0 seconds 5 meters10 seconds 10 meters20 seconds 10 meters50 seconds 15 meters60 seconds How does the time affect the distance a person traveled? Graph the information below. What would your x and y axes be? What intervals would you choose? Based off your graph paper how manty lines would you skip between intervals?

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Page 1: Graphing Distance-Time Graphs (Calculating Speed and Average Speed)

GraphingDistance-Time Graphs

(Calculating Speed and Average Speed)

Page 2: Graphing Distance-Time Graphs (Calculating Speed and Average Speed)

Important Graphing Information

1. Draw your axes2. Label your axes (x is independent; y is dependent)

3. Choose your intervals4. Choose appropriate spacing between intervals.

7. Give your graph a title

5. Plot your data6. Connect data points

8. Design a key if more than 1 set of data is used

Page 3: Graphing Distance-Time Graphs (Calculating Speed and Average Speed)

Practice Graphing

Distance Time0 meters 0 seconds5 meters 10 seconds

10 meters 20 seconds10 meters 50 seconds15 meters 60 seconds

How does the time affect the distance a person traveled? Graph the information below.

• What would your x and y axes be?

• What intervals would you choose?

• Based off your graph paper how manty lines would you skip between intervals?

Page 4: Graphing Distance-Time Graphs (Calculating Speed and Average Speed)

What does the line represent in a distance – time graph?

•SPEEDTwo types of lines used in a distance – time

graph.

1. STRAIGHT LINE

2. CURVED LINE

Page 5: Graphing Distance-Time Graphs (Calculating Speed and Average Speed)

A straight, diagonal line indicates…• Constant Speed

Why is the line in a constant speed graph straight and diagonal?

•The object is traveling the same distance in the same amount of time.

Page 6: Graphing Distance-Time Graphs (Calculating Speed and Average Speed)

A curved line indicates…• Changing Speed

Page 7: Graphing Distance-Time Graphs (Calculating Speed and Average Speed)

Distance-Time Graph and Changing Speed

What do the different lines indicate when an object is changing speed?

Downward Curve Horizontal Line Upward Curve• Slowing down • Stopping • Speeding Up

Page 8: Graphing Distance-Time Graphs (Calculating Speed and Average Speed)

How to determine total average speed by looking at a line graph

1. Find total distance (ending distance)

2. Divide by total time (ending time)

Page 9: Graphing Distance-Time Graphs (Calculating Speed and Average Speed)

Comparing speeds on a Distance – Time Graph

1. Find the average speed of each line.

Faster Speeds

2. Compare the steepness of each line.

The steeper line indicates:

Page 10: Graphing Distance-Time Graphs (Calculating Speed and Average Speed)

Create a graph using the following data:

Distance (m)

Time (s)

0 010 120 220 330 440 550 6

Page 11: Graphing Distance-Time Graphs (Calculating Speed and Average Speed)

Your graph should look like this.• Calculate the average speed.• How long did the car stop for?

0 1 2 3 4 5 6 70

10

20

30

40

50

60

Distance vs. Time

Series1

Time (seconds)

Dist

ance

(met

ers)

Page 12: Graphing Distance-Time Graphs (Calculating Speed and Average Speed)

On the same graph, but in a new color fill in the following information.

Distance (m)

Time (s)

0 020 120 230 340 440 560 6

• Calculate the average speed.• Which had a greater average speed?• How long did the second car stop for?

40

Page 13: Graphing Distance-Time Graphs (Calculating Speed and Average Speed)

0 1 2 3 4 5 6 70

10

20

30

40

50

60

70Distance vs. Time

Series1Series3

Time (seconds)

Dist

ance

(met

ers)

Page 14: Graphing Distance-Time Graphs (Calculating Speed and Average Speed)

Practice Constant Speed

Page 15: Graphing Distance-Time Graphs (Calculating Speed and Average Speed)

Practice Changing Speed

AB

C

Page 16: Graphing Distance-Time Graphs (Calculating Speed and Average Speed)

AB

CD

E

Page 17: Graphing Distance-Time Graphs (Calculating Speed and Average Speed)

Practice Average Speed

The distance-time graph shows the distance that eight different objects cover in 120 seconds or less. Each letter corresponds to a specific object. Figure out the correct average speed for each object.

B. Airplane

C. Car

D. Racehorse

E. Bike Rider

Page 18: Graphing Distance-Time Graphs (Calculating Speed and Average Speed)