Distance-Time Graphs Investigation
Starting
Line
10 m
20 m
30 m
40 m
There is a man standing at the starting line of a 40 m track.
30
20
10
0
1
2
3
4
c)
40
Distance from Starting Line (m)
b)
40
Distance from Starting Line (m)
a)
Distance from Starting Line (m)
1. Determine what is happening to the man in each of the following graphs.
30
20
10
0
1
T ime (s)
30
20
10
1
2
3
4
20
10
1
20
10
2
2
3
4
1
3
4
i)
30
20
10
1
2
T ime (s)
3
4
30
20
10
1
2
3
4
3
4
T ime (s)
40
0
2
40
0
Distance from Starting Line (m)
Distance from Starting Line (m)
Distance from Starting Line (m)
30
T ime (s)
0
f)
30
0
h)
1
10
T ime (s)
40
0
20
T ime (s)
40
T ime (s)
g)
4
Distance from Starting Line (m)
e)
40
0
3
30
T ime (s)
Distance from Starting Line (m)
Distance from Starting Line (m)
d)
2
40
3
4
40
30
20
10
0
1
2
T ime (s)
Distance from Starting Line (m)
b)
40
Distance from Starting Line (m)
a)
30
20
10
0
1
2
3
4
c)
40
30
20
10
0
1
2
T ime (s)
3
Distance from Starting Line (m)
2. Predict what is happening in each of the following graphs.
40
30
20
10
4
0
1
T ime (s)
2
3
T ime (s)
3. Draw a graph to match each of the following descriptions.
30
20
10
0
1
2
T ime (s)
3
4
40
30
20
10
0
c) Noel starts at the 30 m mark
and runs to the starting line.
He then walks to the 10 m
mark, but stops for a break in
the middle.
Distance from Starting Line (m)
40
b) Martina runs from the
starting line to the 40 m
mark and then back again.
Distance from Starting Line (m)
Distance from Starting Line (m)
a) David stands still at the
starting line for 2 seconds
and the slowly walks
forward.
1
2
T ime (s)
3
4
40
30
20
10
0
1
2
T ime (s)
3
4
4
Distance Time Graphs
Fast Forward
Distance
Distance
Slow Forward
Distance
Stopped
T ime
T ime
Fast Backward
Distance
Distance
Slow Backward
T ime
T ime
T ime
Distance from Home
1. Determine what is happening in each section of the following graph.
T ime
Distance from Home
2. The following graph shows Gretchen’s trip to the store. Write a story to describe her trip.
T ime
Distance from Start
3. Ed decides to go canoeing on the river. He leaves the dock and quickly paddles forward. He hits
some rapids and his boat speeds up. Clear of the rapids, Ed decides to pull over to the bank and rest
for a few minutes. Ed then turns around and slowly paddles back to the dock against the current.
Draw a graph to show Ed’s trip.
T ime
4. Matt and Christine decide to have a bicycle race. The graph below shows Matt and Christine’s
distance traveled over time.
140
120
Distance (m)
100
80
60
40
20
0
0
3
6
9
Time (s)
Matt
a) At what time(s) is Matt ahead in the race?
b) At what time(s) is Christine ahead in the race?
c) Who reached the highest speed during the race?
d) If the race was 90 m long, who won the race?
e) If the race was 100 m long, who won the race?
Christine
12
15