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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 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)
4) Graphing Motion.notebook
2
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
4) Graphing Motion.notebook
3
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
4) Graphing Motion.notebook
4
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.
4) Graphing Motion.notebook
5
March 06, 2019
Graphing Motion Ws
Text q's on UM and d-t graphs