Understanding the relationship between distance, speed and time
Representing
Journeys
Using Distance-Time
Graphs
Where shall we go?
Liverpool Football
Club ground
Sydney Opera House
The Taj Mahal Tower Bridge in
London
Let’s find out, as a class, the
distance between our school
and one of these
destinations.
How long would it take to
get there, and what means
of travel should we consider?
Today, you will...
Explain what a
distance-time graph
is and what it
represents
Interpret the
slopes in
distance-time
graphs
Calculate the
speeds in
distance-time
graphs
0 m 5 m 10 m 15 m
0 s 5 s 10 s 15 s
What do you notice about the
distance of the ball?
0 m 5 m 10 m 15 m
0 s 5 s 10 s 15 s
What do you notice about the
distance of the ball?
• In the picture, the ball is moving at a
constant speed, so it covers the same
distance in each interval of time.
• This is an example of uniform
velocity.
• This means the object covers the same
distance in the same amount of time,
without speeding up or slowing down.
It moves at a steady pace.
• Example: A car moving at 60 km/h due
east without changing speed or
direction.
x-axis
Time
Distance
or
Position
y-axis
What is a
distance-time graph?
• A distance-time graph are
motion graphs that show a
change in an object’s location
over time.
• In this type of graph, time is
always plotted on the x-axis and
the position is plotted on the y-
axis
SCENARIO 1
A man standing at 10 meter
position for five (5) seconds
Distance Time
10 m 0 s
10 m 1 s
10 m 2 s
10 m 3 s
10 m 4 s
10 m 5 s
Distance Time
10 m 0 s
10 m 1 s
10 m 2 s
10 m 3 s
10 m 4 s
10 m 5 s
Time (sec)
Distance
(m)
Time (sec)
Distance
(m) • The horizontal straight line
in the graph means that the
slope is equal to zero
indicating that the object is
at rest or not moving.
STATIONARY MOTION
SCENARIO 2
A man walks 4 meter east for 4 seconds
Distance Time
0 m 0 s
1 m 1 s
2 m 2 s
3 m 3 s
4 m 4 s
Distance Time
0 m 0 s
1 m 1 s
2 m 2 s
3 m 3 s
4 m 4 s
Time (sec)
Distance
(m)
Time (sec)
Distance
(m)
• The diagonal line that slopes
upward to the right shows a
constant and positive slope.
This indicates that distance
is increasing constantly with
time. The object moves at a
constant speed.
UNIFORM VELOCITY
SCENARIO 3
Distance Time
0 m 0 s
2 m 1 s
5 m 2 s
10 m 3 s
18 m 4 s
30 m 5 s
A cyclist starts pedaling on a flat road and
approaches an uphill slope. As the cyclist
begins climbing the slope, they pedal harder
and accelerate. The speed increases steadily
as the cyclist gains momentum.
Time (sec)
Distance
(m)
Distance Time
0 m 0 s
2 m 1 s
5 m 2 s
10 m 3 s
18 m 4 s
30 m 5 s
Time (sec)
Distance
(m)
• Curved lines indicate that
speed is changing. In this
graph, the line curving upwards
shows that the object is
increasing its speed. As time
passes, the change in distance
increases.
ACCELERATING
SCENARIO 4
Time
Distance Time
30 m 0 s
28 m 1 s
24 m 2 s
18 m 3 s
10 m 4 s
0 m 5 s
A car is moving toward a stoplight. As it
gets closer, the driver gradually applies the
brakes, causing the car to decelerate. The
car's speed decreases over time, and it
covers less distance in each second until it
comes to a stop.
Time
Time (sec)
Distance
(m)
Distance Time
30 m 0 s
28 m 1 s
24 m 2 s
18 m 3 s
10 m 4 s
0 m 5 s
Time
Time (sec)
Distance
(m)
• The speed is changing as
shown by the slope of the line.
In this graph, the line curving
downwards shows that the
object is decreasing its speed.
The change in distance
decreases as time passes.
DECCELERATING
Tisha’s Journey to School
Tisha left home and walked at a constant speed for
the first 6 minutes, covering 20 meters. She saw her
best friend, and they stopped at a corner shop for 2
minutes. They realised they would be late for their
class and decided to walk at a constant speed,
covering 60 meters in just 2 minutes.
How can you oganise the given details and model
the change in Tisha’s positions over time?
Tisha’s Journey to School
We can start by highlighting the details from Tisha’s journey and
organising them in a table format.
Time elapsed
(min)
Distance (m) from
the starting point
Description
0 0 At home
6 20 Walking at a constant speed
8 20 Stopping and chatting with her best friend
10 60 Walking briskly but at a constant speed
We can then use a distance-
time graph to plot the data
and represent Tisha’s
journey.
What is a distance-time
graph and how do we
interpret it?
Time
(min)
Distance
(m)
Tisha’s Journey to School
Interpreting Distance-Time Graphs
Time
Distance
or
Position
slope
constant speed
The gradient of the line (or slope)
on a distance-time graph tells us
about the speed of the object.
A straight diagonal line means
the object is travelling at a constant
speed.
The steeper the slope, the faster
the object is moving.
Interpreting Distance-Time Graphs
Time
Distance
or
Position
slope
constant speed
The gradient of the line (or slope)
on a distance-time graph tells us
about the speed of the object.
A straight diagonal line means
the object is travelling at a constant
speed.
The steeper the slope, the faster
the object is moving.
Time
Distance
or
Position
constant speed,
returning to the
starting point
When the line on a distance-time
graph slopes downwards, it
represents ‘returning to the
starting point’.
If the line descends all the way
back to the x-axis, the object has
fully returned to its starting point.
Interpreting Distance-Time Graphs
Learning Check
What do these two graphs mean? How would you describe Tisha's
journey if this is part of her graph?
Time
Distance
or
Position
Time
Distance
or
Position
A B
Answer Key
Learning Check
What do these two graphs mean? How would you describe Tisha's
journey if this is part of her graph?
Time
Distance
or
Position
A
• An object is at rest
• Tisha is stationary
Time
Distance
or
Position
B
• An object moves fast at a constant speed
• Tisha is walking speedily at a constant rate
Interpreting Tisha’s Journey
At A, Tisha is moving at a
constant speed.
At B, she is at rest or stationary.
At C, she is again moving at a
constant speed, but this time
faster than her speed in point A.
Let’s look again at Tisha’s journey
to school!
A
B
C
Time (min)
Distance
(m)
Calculating Speed from Distance-Time Graphs
gradient =
change in y values
change in x values
The gradient or slope in a
distance-time graph equals the
speed.
The gradient is calculated using:
Remember: The unit of speed
depends on the units given in the
x- and y-axes.
Calculating Tisha’s Speed
Let’s try to calculate Tisha’s speed on the
first leg of her journey!
gradient =
change in y values
change in x values
gradient =
20 m - 0
6 min - 0
gradient = 3.33 m/min
Tisha walked at a speed of 3.33 metres
per minute in section A. Time
(min)
Distance
(m)
A
B
C
Try This!
Calculate Tisha’s speed
in section C. How does
it compare to her speed
in section A?
Time (min)
Distance
(m)
A
B
C
Calculate Tisha’s speed in section C.
How does it compare to her speed in
section A?
gradient =
60 m - 20 m
10 min - 8 min
gradient = 20 m/min
Tisha walked faster towards the end of
her trip than when she first started out
from home.
Time
(min)
Distance
(m)
A
B
C
Answer Key
Try This!
A Recap
gradient =
change in y values
change in x values
The gradient (slope) of the
line tells us about the
speed of travel.
The steeper the line, the
faster an object is
travelling.
Distance-Time
Graph
Gradient Calculating
Speed
It is a graph that shows
how an object’s position or
distance covered changed
over time.
The speed of an object can
be calculated from the
gradient of a distant-time
graph using:
Your Journey to School
Sketch a simple diagram of your
journey to school with approximate
timings.
Organise the data in a table format.
Then, prepare a distance-time graph to
represent your journey.
Resource Page
Use these icons and illustrations in your Canva Presentation.
Happy designing! Don't forget to delete this page before presenting.
Try this background for
online class.
*Please delete this section before downloading.
Press
these
keys
while on
Present
mode!
C for confetti
Any number
from 0-9 for a
timer
Q for quiet
D for a drumroll
O for bubbles
B for blur
U for unveil
M for mic drop

Distance-Time Graph- Grade 7 Physics.pptx

  • 1.
    Understanding the relationshipbetween distance, speed and time Representing Journeys Using Distance-Time Graphs
  • 2.
    Where shall wego? Liverpool Football Club ground Sydney Opera House The Taj Mahal Tower Bridge in London Let’s find out, as a class, the distance between our school and one of these destinations. How long would it take to get there, and what means of travel should we consider?
  • 3.
    Today, you will... Explainwhat a distance-time graph is and what it represents Interpret the slopes in distance-time graphs Calculate the speeds in distance-time graphs
  • 4.
    0 m 5m 10 m 15 m 0 s 5 s 10 s 15 s What do you notice about the distance of the ball?
  • 5.
    0 m 5m 10 m 15 m 0 s 5 s 10 s 15 s What do you notice about the distance of the ball? • In the picture, the ball is moving at a constant speed, so it covers the same distance in each interval of time. • This is an example of uniform velocity. • This means the object covers the same distance in the same amount of time, without speeding up or slowing down. It moves at a steady pace. • Example: A car moving at 60 km/h due east without changing speed or direction.
  • 6.
    x-axis Time Distance or Position y-axis What is a distance-timegraph? • A distance-time graph are motion graphs that show a change in an object’s location over time. • In this type of graph, time is always plotted on the x-axis and the position is plotted on the y- axis
  • 7.
    SCENARIO 1 A manstanding at 10 meter position for five (5) seconds Distance Time 10 m 0 s 10 m 1 s 10 m 2 s 10 m 3 s 10 m 4 s 10 m 5 s
  • 8.
    Distance Time 10 m0 s 10 m 1 s 10 m 2 s 10 m 3 s 10 m 4 s 10 m 5 s Time (sec) Distance (m)
  • 9.
    Time (sec) Distance (m) •The horizontal straight line in the graph means that the slope is equal to zero indicating that the object is at rest or not moving. STATIONARY MOTION
  • 10.
    SCENARIO 2 A manwalks 4 meter east for 4 seconds Distance Time 0 m 0 s 1 m 1 s 2 m 2 s 3 m 3 s 4 m 4 s
  • 11.
    Distance Time 0 m0 s 1 m 1 s 2 m 2 s 3 m 3 s 4 m 4 s Time (sec) Distance (m)
  • 12.
    Time (sec) Distance (m) • Thediagonal line that slopes upward to the right shows a constant and positive slope. This indicates that distance is increasing constantly with time. The object moves at a constant speed. UNIFORM VELOCITY
  • 13.
    SCENARIO 3 Distance Time 0m 0 s 2 m 1 s 5 m 2 s 10 m 3 s 18 m 4 s 30 m 5 s A cyclist starts pedaling on a flat road and approaches an uphill slope. As the cyclist begins climbing the slope, they pedal harder and accelerate. The speed increases steadily as the cyclist gains momentum.
  • 14.
    Time (sec) Distance (m) Distance Time 0m 0 s 2 m 1 s 5 m 2 s 10 m 3 s 18 m 4 s 30 m 5 s
  • 15.
    Time (sec) Distance (m) • Curvedlines indicate that speed is changing. In this graph, the line curving upwards shows that the object is increasing its speed. As time passes, the change in distance increases. ACCELERATING
  • 16.
    SCENARIO 4 Time Distance Time 30m 0 s 28 m 1 s 24 m 2 s 18 m 3 s 10 m 4 s 0 m 5 s A car is moving toward a stoplight. As it gets closer, the driver gradually applies the brakes, causing the car to decelerate. The car's speed decreases over time, and it covers less distance in each second until it comes to a stop.
  • 17.
    Time Time (sec) Distance (m) Distance Time 30m 0 s 28 m 1 s 24 m 2 s 18 m 3 s 10 m 4 s 0 m 5 s
  • 18.
    Time Time (sec) Distance (m) • Thespeed is changing as shown by the slope of the line. In this graph, the line curving downwards shows that the object is decreasing its speed. The change in distance decreases as time passes. DECCELERATING
  • 19.
    Tisha’s Journey toSchool Tisha left home and walked at a constant speed for the first 6 minutes, covering 20 meters. She saw her best friend, and they stopped at a corner shop for 2 minutes. They realised they would be late for their class and decided to walk at a constant speed, covering 60 meters in just 2 minutes. How can you oganise the given details and model the change in Tisha’s positions over time?
  • 20.
    Tisha’s Journey toSchool We can start by highlighting the details from Tisha’s journey and organising them in a table format. Time elapsed (min) Distance (m) from the starting point Description 0 0 At home 6 20 Walking at a constant speed 8 20 Stopping and chatting with her best friend 10 60 Walking briskly but at a constant speed
  • 21.
    We can thenuse a distance- time graph to plot the data and represent Tisha’s journey. What is a distance-time graph and how do we interpret it? Time (min) Distance (m) Tisha’s Journey to School
  • 22.
    Interpreting Distance-Time Graphs Time Distance or Position slope constantspeed The gradient of the line (or slope) on a distance-time graph tells us about the speed of the object. A straight diagonal line means the object is travelling at a constant speed. The steeper the slope, the faster the object is moving.
  • 23.
    Interpreting Distance-Time Graphs Time Distance or Position slope constantspeed The gradient of the line (or slope) on a distance-time graph tells us about the speed of the object. A straight diagonal line means the object is travelling at a constant speed. The steeper the slope, the faster the object is moving.
  • 24.
    Time Distance or Position constant speed, returning tothe starting point When the line on a distance-time graph slopes downwards, it represents ‘returning to the starting point’. If the line descends all the way back to the x-axis, the object has fully returned to its starting point. Interpreting Distance-Time Graphs
  • 25.
    Learning Check What dothese two graphs mean? How would you describe Tisha's journey if this is part of her graph? Time Distance or Position Time Distance or Position A B
  • 26.
    Answer Key Learning Check Whatdo these two graphs mean? How would you describe Tisha's journey if this is part of her graph? Time Distance or Position A • An object is at rest • Tisha is stationary Time Distance or Position B • An object moves fast at a constant speed • Tisha is walking speedily at a constant rate
  • 27.
    Interpreting Tisha’s Journey AtA, Tisha is moving at a constant speed. At B, she is at rest or stationary. At C, she is again moving at a constant speed, but this time faster than her speed in point A. Let’s look again at Tisha’s journey to school! A B C Time (min) Distance (m)
  • 28.
    Calculating Speed fromDistance-Time Graphs gradient = change in y values change in x values The gradient or slope in a distance-time graph equals the speed. The gradient is calculated using: Remember: The unit of speed depends on the units given in the x- and y-axes.
  • 29.
    Calculating Tisha’s Speed Let’stry to calculate Tisha’s speed on the first leg of her journey! gradient = change in y values change in x values gradient = 20 m - 0 6 min - 0 gradient = 3.33 m/min Tisha walked at a speed of 3.33 metres per minute in section A. Time (min) Distance (m) A B C
  • 30.
    Try This! Calculate Tisha’sspeed in section C. How does it compare to her speed in section A? Time (min) Distance (m) A B C
  • 31.
    Calculate Tisha’s speedin section C. How does it compare to her speed in section A? gradient = 60 m - 20 m 10 min - 8 min gradient = 20 m/min Tisha walked faster towards the end of her trip than when she first started out from home. Time (min) Distance (m) A B C Answer Key Try This!
  • 32.
    A Recap gradient = changein y values change in x values The gradient (slope) of the line tells us about the speed of travel. The steeper the line, the faster an object is travelling. Distance-Time Graph Gradient Calculating Speed It is a graph that shows how an object’s position or distance covered changed over time. The speed of an object can be calculated from the gradient of a distant-time graph using:
  • 33.
    Your Journey toSchool Sketch a simple diagram of your journey to school with approximate timings. Organise the data in a table format. Then, prepare a distance-time graph to represent your journey.
  • 34.
    Resource Page Use theseicons and illustrations in your Canva Presentation. Happy designing! Don't forget to delete this page before presenting.
  • 35.
    Try this backgroundfor online class. *Please delete this section before downloading.
  • 36.
    Press these keys while on Present mode! C forconfetti Any number from 0-9 for a timer Q for quiet D for a drumroll O for bubbles B for blur U for unveil M for mic drop