Graphically Representing Motion

Displacement vs. Time graphs

Velocity vs. Time graphs

Recall: Displacement vs. Time Graphs

DO NOW: describe the motion represented in each graph

A BC

D E F

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New: Velocity vs. Time Graphs

AB

vt

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C

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AIM: How do we interpret motion graphs?

Do Now:

1.What is the slope of a distance vs. time graph?

2.What is the slope of a velocity vs. time graph?

Classwork/HW

Blue Work Book

Pg. 32-33 #15-40

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Motion Graph 1Verbally describe the motion for each section of the graph

1 5 10 15 20

5

4

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2

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-5

Dis

tanc

e (m

)

Time (s)

Motion Graph 1• Verbal Description (include

position, distance covered, velocity, direction and time period)

• Total Distance Traveled–

• Total displacement–

• Average speed–

• Average velocity–

Motion Graph 2 Verbally describe the motion for each section of the graph

1 5 10 15 20

5

4

3

2

1

0

-1

-2

-3

-4

-5

velo

city

(m

/s)

Time (s)

Motion Graph 2• Verbal Description (include

position, distance covered, velocity, acceleration direction and time period)

• Total Distance Traveled–

• Total displacement–

• Average speed–

• Average velocity–

Motion Graph 3 Sketch the motion on a displacement vs. time graph

• A child starts 3 meters to her mother’s left and remains there for 3 seconds. The child then crawls towards the mother at a rate of 0.5m/s for a total of 4 seconds. The child then remains stationary for another 3 seconds and then crawls away from the mother covering 3meters in 3 seconds.

1 5 10 15 20

5

4

3

2

1

0

-1

-2

-3

-4

-5

disp

lace

men

t (m

)

Time (s)

Motion Graph 4 Sketch the motion on a velocity vs. time graph

• A car initially travels north at 5m/s for 3 seconds. The car then constantly slows to a stop over 5 seconds and remains stationary for 3 seconds. The car then turns around and accelerates at a rate of 0.5m/s2 for 4 seconds and remains at that constant speed for 4 seconds. The car then uniformly slows to a stop over the remaining 4 seconds.

5

4

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0

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Vel

ocity

(m

/s)

Time (s)

Motion Graphs 3 and 4

• Graph 3– Total Distance Traveled

•

– Total displacement•

– Average speed•

– Average velocity•

• Graph 4– Total Distance Traveled

•

– Total displacement•

– Average speed•

– Average velocity•