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PositionVsTimeGraphs

Virtual Science Teac

Created on February 16, 2022

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Transcript

Snail vs. Grasshopper

1st

Position vs. Time Graphs

Begin

Brought to you by Virtual Science Teachers. Copyright 2022

Distance from Start Line During Race

10

10

GREAT WORK! Now it's time to graph this data.

Continue

Use the race simulation to complete the data table correctly in order to move on. Note: The entered values will change to orange or green when correct.

Distance from Start Line During Race

10

10

GREAT WORK! Now it's time to graph this data.

Continue

Enter all the distance traveled for both the snail and grasshopper at minutes 0 to 10 to continue. Note: The value will change to orange or green when correct.

Water Temperatue vs. Time

Position vs. Time

Distance from Start Line During Race

10

10

This graph needs labels!Select the correct labels for the x-axis and the y-axis of this graph.

For position vs. time graphs, the time goes on the x-axis and the position goes on the y-axis.

y-axis label

  • Position
  • Time
  • Snail
  • Grasshopper

x-axis label

  • Time
  • Position
  • Snail
  • Grasshopper

Check

correct response(s)

Continue

You got it!

Try again!

Water Temperatue vs. Time

Distance from Start Line During Race

10

10

Fantastic!The x-axis label is time and the y-axis label is position. Time and position values don't mean much without units. Select the correct units for the time and position variables during the race.

Position vs. Time

For position vs. time graphs, the time goes on the x-axis and the position goes on the y-axis.

Position

  • meters
  • seconds
  • minutes
  • kilometers

Time

Check

  • minutes
  • seconds
  • meters
  • kilometers

correct response(s)

Continue

You got it!

Try again!

Awesome! Now it's time to determine the scale for the x-axis. Knowing that the race lasted 10 minutes, select the graph that has the best scale to use for the x-axis?

Position vs. Time

Position vs. Time

Position (meters)

0 2 4 6 6 6 6 6 6 8 10

Distance from Start Line During Race

Position vs. Time

Position (meters)

Position vs. Time

0 2 4 6 8 10 12 14 16 18 20

Time (minutes)

Time (minutes)

Position vs. Time

Position vs. Time

Position (meters)

0 1 2 3 4 5 6 7 8 9 10

Position (meters)

0 1 1.5 3 4 4.5 6 8 8.5 9 10

Position (meters)

10

Time (minutes)

Time (minutes)

Awesome! Now it's time to determine the scale for the x-axis. Knowing that the race lasted 10 minutes, select the graph that has the best scale to use for the x-axis?

Position vs. Time

Position vs. Time

Position (meters)

0 2 4 6 6 6 6 6 6 8 10

Distance from Start Line During Race

Position vs. Time

The values go from 0 to 20 minutes. The race started at minute 0 and ended at 10 minutes.

Position (meters)

Position vs. Time

0 2 4 6 8 10 12 14 16 18 20

Time (minutes)

Time (minutes)

Position vs. Time

Position vs. Time

Position (meters)

0 1 2 3 4 5 6 7 8 9 10

Position (meters)

0 1 1.5 3 4 4.5 6 8 8.5 9 10

The values do not go up by even increments.

Position (meters)

10

Time (minutes)

Time (minutes)

Super! Now it's time to determine the scale for the y-axis. Knowing that the race was 10 meters long, select the graph that shows the best y-axis scale for the position.

Position vs. Time

Position vs. Time

10

20

Distance from Start Line During Race

Position vs. Time

18

16

14

12

Position (meters)

Position (meters)

10

Position vs. Time

0 1 2 3 4 5 6 7 8 9 10

0 1 2 3 4 5 6 7 8 9 10

Time (minutes)

Time (minutes)

Position vs. Time

Position vs. Time

10

5.0

4.5

4.0

3.5

Position (meters)

3.0

Position (meters)

Position (meters)

2.5

2.0

10

1.5

1.0

0.5

0 1 2 3 4 5 6 7 8 9 10

0 1 2 3 4 5 6 7 8 9 10

Time (minutes)

Time (minutes)

Super! Now it's time to determine the scale for the y-axis. Knowing that the race was 10 meters long, select the graph that shows the best y-axis scale for the position.

Position vs. Time

Position vs. Time

10

20

Distance from Start Line During Race

Position vs. Time

18

The values go from 0 to 20 meters. The race was from 0 to 10 meters.

16

14

12

Position (meters)

Position (meters)

10

Position vs. Time

0 1 2 3 4 5 6 7 8 9 10

0 1 2 3 4 5 6 7 8 9 10

Time (minutes)

Time (minutes)

Position vs. Time

Position vs. Time

10

5.0

4.5

The values go from 0 to 5 meters. The race was from 0 to 10 meters.

4.0

The values do not go up by even increments.

3.5

Position (meters)

3.0

Position (meters)

Position (meters)

2.5

2.0

10

1.5

1.0

0.5

0 1 2 3 4 5 6 7 8 9 10

0 1 2 3 4 5 6 7 8 9 10

Time (minutes)

Time (minutes)

Great! Now click on the spots on the graph that correspond to Snail's race data. When all 11 points have been added to the graph, they will connect.

RESET

Distance from Start Line During Race

10

Position vs. Time

Water Temperatue vs. Time

10

CONTINUE

Great! Now it's time to graph Grasshopper's race data.

Position (meters)

Start here at 0, 0

0 1 2 3 4 5 6 7 8 9 10

Time (minutes)

0 2 4 6 8 10 12 14 16 18 20

Heat Time (Minutes)

introduction

write a title here

Click on the spots on the graph that correspond to Grasshopper's race data. When all 11 points have been added to the graph, they will connect.

Distance from Start Line During Race

Position vs. Time

10

AMAZING WORK! Now it's time to analyze the graph!

CONTINUE

Position (meters)

Start here at 0, 0

10

Start here at 0, 0

0 1 2 3 4 5 6 7 8 9 10

Time (minutes)

0 2 4 6 8 10 12 14 16 18 20

Heat Time (Minutes)

introduction

write a title here

Click on the spots on the graph that correspond to Grasshopper's race data. When all 11 points have been added to the graph, they will connect.

1st

During the first three minutes, Snail traveled and Grasshopper traveled . .

  • 3 meters
  • 1 meter
  • 2 meters
  • 4 meteres
  • 5 meters
  • 6 meters

Time (minutes)

Position vs. Time

10

Position (meters)

0 1 2 3 4 5 6 7 8 9 10

  • 6 meters
  • 1 meter
  • 3 meters
  • 4 meteres
  • 5 meters
  • 2 meters

Between minute 3 and minute 9, Grasshopper traveled .

  • 0 meters
  • 1 meter
  • 3 meters
  • 4 meteres
  • 5 meters
  • 2 meters

Check

Grasshopper

Snail

correct response(s)

Start here at 0, 0

Continue

You got it!

Try again!

0 2 4 6 8 10 12 14 16 18 20

Heat Time (Minutes)

introduction

write a title here

Click on the spots on the graph that correspond to Grasshopper's race data. When all 11 points have been added to the graph, they will connect.

1st

  • 9 meters
  • 6 meters
  • 5 meters
  • 4 meteres
  • 8 meters
  • 7 meters

After 9 minutes, Snail traveled and Grasshopper traveled . .

Time (minutes)

Position vs. Time

10

Position (meters)

0 1 2 3 4 5 6 7 8 9 10

  • 6 meters
  • 9 meters
  • 5 meters
  • 4 meteres
  • 8 meters
  • 7 meters

Check

correct response(s)

Grasshopper

Snail

Continue

You got it!

Try again!

Start here at 0, 0

0 2 4 6 8 10 12 14 16 18 20

Heat Time (Minutes)

introduction

write a title here

Click on the spots on the graph that correspond to Grasshopper's race data. When all 11 points have been added to the graph, they will connect.

1st

  • 4 minutes
  • 2 minutes
  • 3 minutes
  • 1 minutes
  • 5 minutes

It took snail to travel 4 meters. It took Grasshopper to travel 4 meters.

Time (minutes)

Position vs. Time

10

Position (meters)

0 1 2 3 4 5 6 7 8 9 10

  • 2 minutes
  • 4 minutes
  • 3 minutes
  • 1 minutes
  • 5 minutes

Check

correct response(s)

Grasshopper

Snail

Continue

You got it!

Try again!

Start here at 0, 0

0 2 4 6 8 10 12 14 16 18 20

Heat Time (Minutes)

introduction

write a title here

Click on the spots on the graph that correspond to Grasshopper's race data. When all 11 points have been added to the graph, they will connect.

The velocities of Snail and Grasshopper are represented by the slope, or steepness, of the graph lines.The steeper the graph line, the greater the velocity.

1st

Time (minutes)

Position vs. Time

10

Position (meters)

0 1 2 3 4 5 6 7 8 9 10

During the first 3 minutes, Snail traveled Grasshopper.

  • slower than
  • faster than
  • the same speed as

During minutes 3 through 9, Grasshopper's velocity was .

  • 0 meters/minute
  • +6 meters/minute
  • +1 meter/minute
  • remained constant
  • decreased
  • increased

Snail's velocity throughout the race.

Grasshopper

Snail

Check

Start here at 0, 0

correct response(s)

Try again!

Continue

You got it!

0 2 4 6 8 10 12 14 16 18 20

Heat Time (Minutes)

introduction

write a title here

Click on the spots on the graph that correspond to Grasshopper's race data. When all 11 points have been added to the graph, they will connect.

Use Snail's total displacement and race time to calculate his average velocity throughout the race.

1st

Time (minutes)

Position vs. Time

10

Position (meters)

0 1 2 3 4 5 6 7 8 9 10

displacement time

average velocity =

Snail's total displacement

  • +10 meters
  • +6 meters
  • +1 meter
  • +1 meter/minute
  • +6 meters/minute
  • +10 meters/minute

Snail's average velocity =

  • 10 minutes
  • 1 minute
  • 6 minutes

Total time of race

Grasshopper

Snail

Check

Start here at 0, 0

correct response(s)

Continue

You got it!

Try again!

0 2 4 6 8 10 12 14 16 18 20

Heat Time (Minutes)

introduction

write a title here

Click on the spots on the graph that correspond to Grasshopper's race data. When all 11 points have been added to the graph, they will connect.

Now compare Snail's velocity and Grasshopper's velocity for just the first 6 minutes of the race.

1st

displacement time

average velocity =

Time (minutes)

Position vs. Time

10

Position (meters)

0 1 2 3 4 5 6 7 8 9 10

Snail's average velocity for the first 6 minutes=

  • +1 meter/minute
  • +6 meters/minute
  • +2 meters/minute
  • +10 meters/minute

Grasshopper's average velocity for the first 6 minutes =

  • +1 meter/minute
  • +6 meters/minute
  • +2 meters/minute
  • +10 meters/minute

Grasshopper

Snail

Snail's average velocity for the first 6 minutes of the race was Grasshopper's average velocity.

  • equal to
  • faster than
  • slower than

Check

Start here at 0, 0

correct response(s)

Continue

You got it!

Try again!

0 2 4 6 8 10 12 14 16 18 20

Heat Time (Minutes)

introduction

write a title here

Fantastic work on position vs. time graphs! Keep playing with the simulation above. Notice how the graph corresponds to the positions of Snail and Grasshopper during the race.