Graphs of Uniform Motion - My Physics Site€¦ · 4) Graphing Motion.notebook 1 March 06, 2019...

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4) Graphing Motion.notebook 1 March 06, 2019 SPH3U - Kinematics Learning Goal : You will learn to interpret graphs for uniform motion. Graphs of Uniform Motion Graphing Motion Graphical techniques are helpful in understanding the concepts of velocity and acceleration. A car travelling at a constant speed of 20 m/s, will have a position that increases by ____ every second. A straight line distance versus time graph indicates ______ motion. The slope of a distance versus time graph indicates the ________ of the object. The slope of a displacement versus time (or position versus time) graph indicates the _______ of the object. What does (0, 0) represent in this situation? If the slope of a distance-time graph was negative - what would this mean? 0 1 2 3 4 5 20 40 60 80 100 Distance (m) Time (s)

Transcript of Graphs of Uniform Motion - My Physics Site€¦ · 4) Graphing Motion.notebook 1 March 06, 2019...

Page 1: Graphs of Uniform Motion - My Physics Site€¦ · 4) Graphing Motion.notebook 1 March 06, 2019 SPH3U - Kinematics Learning Goal: You will learn to interpret graphs for uniform motion.

4) Graphing Motion.notebook

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March 06, 2019

SPH3U - Kinematics

Learning Goal: You will learn to interpret graphs for uniform motion.

Graphs of Uniform Motion

Graphing MotionGraphical techniques are helpful in understanding the concepts of velocity and acceleration.

A car travelling at a constant speed of 20 m/s, will have a position that increases by ____ every second.

A straight line distance versus time graph indicates ______ motion.

The slope of a distance versus time graph indicates the ________ of the object.

The slope of a displacement versus time (or position versus time) graph indicates the _______ of the object.

What does (0, 0) represent in this situation?

If the slope of a distance-time graph was negative - what would this mean?

0 1 2 3 4 5

20406080100

Distance (m)

Time (s)

Page 2: Graphs of Uniform Motion - My Physics Site€¦ · 4) Graphing Motion.notebook 1 March 06, 2019 SPH3U - Kinematics Learning Goal: You will learn to interpret graphs for uniform motion.

4) Graphing Motion.notebook

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March 06, 2019

Ex1: The following graph shows the Northward motion of a wolf tracking a biology teacher.

a) What is the wolf‛s position at 4.0 s?

b) What is the wolf‛s displacement between 2.0 s and 8.0 s?

c) What is the velocity of the wolf?

0 2 4 6 8 10Time (s)

Dis

plac

emen

t (m

)

2 4 6 810

Ex2: The motion of a biology teacher heading North during migration season. The origin represents a town it passes through.

a) What is the total displacement?

b) What is the total distance traveled?

c) What is the total displacement from the town?

d) At what time does the migrating thing reach the town?

e) Where does it start?

f) What is its average velocity?

Dis

plac

emen

t (k

m)

Time (h)0 20 40 60

­20 ­40 2 4 6 8 10

Page 3: Graphs of Uniform Motion - My Physics Site€¦ · 4) Graphing Motion.notebook 1 March 06, 2019 SPH3U - Kinematics Learning Goal: You will learn to interpret graphs for uniform motion.

4) Graphing Motion.notebook

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March 06, 2019

Ex3: An aimless chemistry teacher wanders as:

Notice that we must label displacement rather than distance; why?

The above graph shows a motion consisting of a uniform velocity in each section. The slopes for each line segment, yields the velocity for that time interval. Find each.

Describe the motion of the above graph.

contd.......

Time (s)

Dis

plac

emen

t (m

) [E]

0 3 8 12 20

1218

A

B C

D

Round answers to 2 sig digs.

Ex3: An aimless chemistry teacher wanders as...contd.:

What section shows the highest velocity? The lowest?

Which section shows the greatest displacement? Find Δd for each section.

What is the total displacement of the object? The total distance?

What is the average speed and average velocity for the object?

Time (s)

Dis

plac

emen

t (m

) [E]

0 3 8 12 20

1218

A

B C

D

Page 4: Graphs of Uniform Motion - My Physics Site€¦ · 4) Graphing Motion.notebook 1 March 06, 2019 SPH3U - Kinematics Learning Goal: You will learn to interpret graphs for uniform motion.

4) Graphing Motion.notebook

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March 06, 2019

Describe the motion in these d-t graphs

Recall: Car drove 1.0 km through the country at 100 km/h and then 1.0 km through town at 50 km/h and the average was 67 km/h (not 75 km/h).

Let's graph this motion:

d (km)

t (h)

Slope = ______

Slope = ______

Slope = ______

The slope of a line connecting two points on a d-t graph (straight or curved) is called a secant line and yields the average speed or velocity.

Page 5: Graphs of Uniform Motion - My Physics Site€¦ · 4) Graphing Motion.notebook 1 March 06, 2019 SPH3U - Kinematics Learning Goal: You will learn to interpret graphs for uniform motion.

4) Graphing Motion.notebook

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March 06, 2019

Graphing Motion Ws

Text q's on UM and d-t graphs