Key Questions
1. What are the characteristics of the motion of objects that exhibit uniform motion or uniformly
accelerated motion?
2. How can we describe motion and the changes in motion of everyday objects?
3. What are different methods of representing the motion of everyday objects and what are the
advantages and disadvantages of these methods?
4. What are some methods of determining the position, speed, and acceleration of everyday objects?
Outcomes:
MW1 Explore motion-related technologies
MW2 Observe and describe the motion of everyday objects
MW3 Investigate the relationship among distance, time, and speed for objects that undergo uniform
motion
MW4 Investigate the relationship among speed, time, and acceleration for objects that undergo
uniformly accelerated motion
MW5 Analyze graphically and mathematically the relationship among distance, speed, time and
acceleration for objects that undergo simple linear motion or uniformly accelerated motion
Key Terms:

Distance

Displacement

Speed

Velocity

Acceleration

Constant speed/velocity

Uniform motion

Uniform acceleration

Time

Slope

Area
Equations:
𝒅 = 𝒗𝒕
𝒂=
∆𝒗
𝒕
𝒅 = 𝒗𝒂𝒗𝒈 × 𝒕
1
SCIENCE 10: Motion in Our World – Constant Speed Activity
PURPOSE:



To create graphs describing constant speed motion.
To develop understanding of the meaning of slopes and areas from different types of
graphs.
To develop general equations to describe constant speed motion.
THEORY:

The ticker timer creates dots at a rate of 60 dots per second. 12 dots = 0.2 secs
HYPOTHESIS:

How will you know if the dots on your paper tape are showing a constant speed?

Sketch what you believe each of the following graphs would look like for an object
traveling at a constant speed. Explain your graphs.
Distance
Velocity
Time
Time
APPARATUS & PROCEDURE:
Sketch the apparatus. Label the apparatus. Explain how the apparatus was used.
2
DATA: (set up a data with the same heading)
Interval
Time t
(s)
Interval displacement d
(cm)
0
0
0
1
0.2
2.70
2
0.4
2.65
**Interval displacement = length of 12 dots
Total distance
d (cm)
0
2.7
5.35
Velocity v
(cm/s)
v = d/0.2 s
(interval displacement/
0.2 s)
***
13.5
13.25
GRAPHS:
Create graphs of:


Total Distance versus Time: include a “trend line” or “best fit” line for the points you
have plotted
Velocity versus Time: include a “trend line” for the points you have plotted. Draw this
as a horizontal line.
ANALYSIS:
Distance versus Time Graph:
1. Slope:
a) Calculate the slope of the line you have drawn. Be sure to include the units of the
slope.
b) What is the meaning of the slope of the line you have drawn? The units are a good
hint.
c) Write a general equation to describe the meaning of the slope from a distance versus
time graph.
Velocity versus Time Graph:
2. Area: Draw a vertical line at some time from the line of v = 0 up to the straight line on
the graph.
a) Calculate the area of the region created. Be sure to include units in your calculation.
b) What is the meaning of the area calculated?
c) Write a general equation to describe the meaning of the area from a velocity versus
time graph.
3
CONCLUSION:





R: Recall what you did to create your data for the activity
E: Explain the purpose of the activity
R: Results
o Describe the shape of each graph created and why they have these shapes
o What are the meanings of the slopes or areas of each graph?
o What general equations did you develop?
o How can you confirm the meanings of the slopes or areas?
U: Uncertainty
o what are some systematic errors that might have occurred
o do you have any results that you have questions about
N: New
o What did you learn?
o Do you have any questions?
o What are applications to the real world for the work you did in the lab or its
results?
SCIENCE 10: Motion – Constant Speed Practice
𝒅 = 𝒗𝒕
𝒗=
𝒅
𝒕
𝒕=
d
𝒅
𝒗
v
t
Calculate the missing value for each row. Include the correct units.
distance
velocity
750 m
50 s
100 km/h
715 km
240 km
3.5 hrs
110 km/h
32 m/s
1240 m
time
80 s
40 m/s
4.8 hrs
4
1. A car travels at a velocity of 80 km/h for 30 minutes.
a. What part of an hour is 30 minutes?
b. How far has the car travelled in 30 minutes?
2. A motorcycle travels a distance of 300 km in 4 hours. Calculate the speed of the
motorcycle.
3. A truck travels from Regina to Swift Current, a distance of 275 km. The truck has its
cruise control set to 110 km/h.
a. How long will it take the truck to drive to Swift Current?
b. Change this time to hours and minutes.
4. A plane flies from Edmonton to Regina in 1 hour and 15 minutes. The distance from
Edmonton to Regina is 750 kilometres.
a. Change 1 hour and 15 minutes to only hours.
b. What speed does the fly at when travelling from Edmonton to Regina?
5. A train travels at a speed of 90 km/h between Regina and Moose Jaw. The distance from
Regina to Moose Jaw is 65 kilometres.
a. How long will it take the train to travel from Regina to Moose Jaw?
b. How many minutes is this?
5
SCIENCE 10: Motion – Graph Analysis
NAME:
Distance vs Time
60
Distance d (m)
50
40
30
20
10
0
0
5
10
15
20
25
Time t (s)
1. Slope:
a. Calculate the slope of the line on the graph.
b. What is the meaning of the slope?
2. Y-intercept:
a. What is the value of the y-intercept?
b. What is the meaning of the y-intercept?
3. Equation:
a. Use the slope equation as a template to create a general equation describing the
line in the graph.
6
SCIENCE 10: Motion in Our World – Accelerated Motion Activity
PURPOSE:



To create graphs describing accelerated motion.
To develop understanding of the meaning of slopes and areas from different types of
graphs.
To develop general equations to describe accelerated motion.
HYPOTHESIS:
Sketch what you believe each of the following graphs would look like for accelerated
motion.
Distance
Velocity
Time
Acceleration
Time
Time
APPARATUS & PROCEDURE:
Sketch the apparatus. Label the apparatus. Explain how the apparatus was used.
DATA:create a data table with the following headings.
TIME
(s)
0
INTERVAL
DISTANCE (cm)
0
0.2
GRAPHS:
Print the following graphs as well as your data table.
 Total Distance versus Time
 sketch in a trend line
 Velocity versus Time
 use a ruler to draw a trend line
 Acceleration versus Time
 use a ruler to draw in a horizontal trend line
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ANALYSIS:
Total Distance versus Time Graph:
1. Why is the trend line a curved line? What does this tell you about the motion of the car?
Velocity versus Time Graph:
2. Slope:
a) Calculate the slope of the line on the graph. Be sure to include the units of the slope.
b) What is the meaning of the slope?
𝑟𝑖𝑠𝑒
3. Create an equation for the motion of the cart. Start with the slope equation (𝑠𝑙𝑜𝑝𝑒 = 𝑟𝑢𝑛 )
and substitute in the meaning of each word.
4. Area: Draw a vertical line at some time from the bottom of the graph up to the trend
line.
1
a) Calculate the area of the triangular region created (𝐴𝑟𝑒𝑎 = 𝐵𝑎𝑠𝑒 × 𝐻𝑒𝑖𝑔ℎ𝑡). Be sure
2
to include units in your calculation.
b) What is the meaning of the area calculated?
c) Write a general equation to describe the meaning of the area from a velocity versus
time graph. Start with the equation for the area of the triangle. Substitute the
meaning of each word in the area equation.
Acceleration versus Time Graph:
5. Area: Draw a vertical line at some time from the bottom of the graph up to the trend
line.
a) Calculate the area of the rectangular region created (Area = Length x Width). Be sure
to include the units.
b) What is the meaning of the area calculated?
c) Write a general equation to describe the meaning of the area from an acceleration
versus time graph.
CONCLUSION:





R: Recall what you did to create your data for the activity
E: Explain the purpose of the activity
R: Results
o Describe the shape of each graph created and why they have these shapes (include a
sketch if you wish)
o What are the meanings of the slopes or areas of each graph?
o What general equations did you develop?
U: Uncertainty
o what are some systematic errors that might have occurred
o do you have any results that you have questions about
N: New
o What did you learn?
o Do you have any questions?
o What are applications to the real world for the work you did in the lab or its results?
8
SCIENCE 10: Motion – Acceleration Practice
Δv
a
Acceleration
Change in
Velocity
𝐯𝐚𝐯𝐠 =
vavg t
t
10 m/s/s
6 m/s/s
d
Time
Vavg
(assume vi=0)
𝐯𝐢 + 𝐯𝐟
𝟐
Distance
3s
24 m/s
15 m/s
5s
8s
60 m/s
120 m
480 m
1. When a ball is dropped it has an acceleration of 10 m/s/s.
a. How long will it take the ball to reach a s peed of 44 m/s?
b. What distance will the ball have travelled in this time?
2. A kid on a toboggan takes 25 seconds to reach the bottom of a hill. When they reach the
bottom of the hill they are travelling at a speed of 20 m/s.
a. Calculate their acceleration down the hill.
b. Calculate the length of the hill.
3. A curling rock is released with a speed of 2 m/s. It comes to a stop 20 seconds later.
a. Calculate the acceleration of the rock.
b. Calculate the distance the rock travels.
4. A dragster car accelerates at 6 m/s/s for 8.4 seconds to reach the finish line.
a. What distance has the car travelled?
b. How fast was the car travelling when it reaches the finish line?
9
SCIENCE 10: Motion – Graph Analysis
Velocity vs Time for a Motorcycle
60
Velocity v (m/s)
50
40
30
20
10
0
0
5
10
15
20
25
Time t (s)
1. Calculate the slope of the line on the graph
2. What does the slope represent about the motorcycle?
3. Draw a vertical line at 12 seconds. Calculate the area of the triangle region created.
4. What does the area of the triangle represent?
10
Distance vs Time
70
60
Distance d (m)
50
40
30
20
10
0
0
5
10
15
20
25
Time t (s)
Speed vs Time
70
60
Speed v (m/s)
50
40
30
20
10
0
0
5
10
15
20
25
Time t (s)
11
1. Calculate the slope of the distance vs time graph. What does the slope tell you about the motion of
the object?
2. Calculate the slope from the speed vs time graph. What does the slope tell you about the motion of
the object?
3. Calculate the area for the first 10 seconds of the speed vs time graph. What does the area tell you
about the motion of the object?
4. A car travels on the highway to Winnipeg. The car travels at a constant speed of 110 km/h.
a. How far will the car travel in 3.5 hours?
b. How long will it take the car to reach Winnipeg, which is 575 km from Regina?
c. How fast would the driver need to drive the car in order to reach Winnipeg in 5 hours?
5. A motorcycle is stopped at a red light. When the light changes to green the rider begins accelerating
the motorcycle.
a. The motorcycle reaches a speed of 30 m/s in 8 seconds. What is the acceleration of the
motorcycle?
b. The motorcycle slows from a speed of 30 m/s to a speed of 20 m/s in 5 seconds. What is the
acceleration of the motorcycle?
12