Title Page
MINDS ON Today's Learning Goal
By the end today's lesson I will be able to...
Nov 288:21 AM
What is the equation for working out speed?
distance
time
(seconds)
(metres)
(metres per second, m/s)
Drag this to the target to reveal the
answers.
Drag this to the target to reveal the
answers.
(seconds)
(metres)
speed =
Nov 288:21 AM
Click here for the answer
Click here for the answer
Label the graph.
Label the graph.
distance
time
moving
stationary
distance
time
moving
stationary
moving
Nov 288:21 AM Click here for the answer Click here for the answer
1. What is the average
speed between
a
and
b
?
2. Which line shows
the vehicle is
stationary?
3. Which line shows
the greatest speed?
0
1
2
3
4
5
6
7
8
9
10
0 1 2 3 4 5 6 7 8 9
10
Nov 288:21 AM
0
1
2
3
4
5
6
7
8
9
10
0 1 2 3 4 5 6 7 8 9
10
Nov 288:21 AM
0
1
2
3
4
5
6
7
8
9
10
0 1 2 3 4 5 6 7 8 9
10
Page 2
Cars A, B, C, and D are all traveling at a constant speed,
which car is traveling at the fastest speed?
Which car is the slowest?
Oct 219:06 PM
Lesson 4: Distance Time Graphs
A DistanceTime graph is a graph that displays the position
of an object over time.
Time is always the independent variable.
Distance is the dependent variable.
Page 3
At what speed is car A
traveling?
How many times faster than
car B is car C traveling?
At what speed is car D
traveling?
Interpreting a distancetime graph
Twice as fast
70 mph
Page 4
What was the average speed
for the journey?
How far did the car travel in
3 1/2 hours.
How long did it take to drive
300 miles?
Interpreting a distancetime graph
60 mph
210 mi
Page 5
Sam is on holiday in Mexico. She takes a tour bus which
leaves the hotel at 8 AM. The bus travels at an average
speed of 60 km/h. Show this on the graph.
Solving problems using a distance time graph
Page 6
Bus
He takes a taxi to catch up with the bus. The taxi travels at an
average speed of 100 km/h. At what time does the taxi catch up
to the bus?
John oversleeps and misses the bus by 1 hour!
10:30 AM
Page 7
The bus arrives at the tour
destination at 11:30 PM. What is
the distance from the hotel?
What is the distance from the hotel
when John's taxi reaches the bus?
Bus
Taxi
Distancetime graph
150 km
Page 8
Between 1 PM and
3 PM Hank walked
at an average
speed of 3 miles
per hour. Complete
the graph.
Page 9
How far did Hank walk in
the first two hours of the
hike?
What speed did Hank
average over the course of
the day?
What was Hank's average
speed between 10 AM and 12
PM?
Hank's Appalachian Trail Blog
Explain what may have happened between 12 PM and 1 PM.
4 miles
2 miles per hour
Oct 219:12 PM
Oct 249:44 AM
A basketball ball was bounced from various heights and the respective bounce heights were recorded. The scatter plot is below. Sketch the scatter plot.
a) Describe the data.
(Direction, strength, shape) b) The experiment was repeated with a squash. Add its data to your sketch. (Dotted)
Oct 249:48 AM
A bag was hanging on an elastic and books were added to it. Its height was recorded and a scatter plot was made. Sketch the scatter plot.
a) Describe the data.
(Direction, strength, shape) b) The experiment was repeated using much larger books. Add this data to your sketch. (Dotted)
Oct 249:53 AM
A long piece of candy was eaten by taking uniform bites. Its length was recorded after each bite. The scatter plot is shown below. Copy a sketch of the graph.
a) Describe the data.
b) The same candy is available in a shorter Halfsize. This experiment was repeated exactly, using the half size "Candy by the Foot". Add this data to your sketch. (Dotted)
Oct 2410:07 AM
A cylinder was filled with water and then allowed to drain from a hole in the bottom. The height and time were recorded at various points. The sketch is provided below. Copy the scatter plot.
a) Describe the data.
b) The experiment was repeated and a larger hole was used. Add this data to your sketch. (Dotted)
Oct 249:59 AM
Ten bean bags were tossed into a bucket from various distance away. The results were recorded and the scatter plot is shown below. Make a sketch of the graph.
a) Describe the data.
b) Why was it important NOT to change the shooter(s) at different distances? Discuss.
c) If this experiment was repeated and the experimenter was given a day to practice, how would the results be different? Add this data to your sketch. (Dotted)
d) Could this line of best fit be used to reasonably extrapolate to 10 m? Discuss.