Graphing Speed:
Distance vs. Time Graphs
Denver
Phoenix
Graphing Speed:
Distance vs. Time Graphs
Speed = Slope = Rise/
Rise
Graphing Speed:
Distance vs. Time Graphs
Speed = Slope = Rise/
Rise=?
600 km
3h
Graphing Speed:
Distance vs. Time Graphs
Speed = Slope = Rise/
Rise=?
600 m
3 minutes
Rise/
Distance (km)
Different Slopes
8
7
6
5
4
3
2
1
0
Slope = Rise/Run
= 1 km/1 hr
= 1 km/hr
Slope = Rise/Run
= 0 km/1 hr
= 0 km/hr
Rise = 2 km
Rise = 0 km
Run = 1 hr
Run = 1 hr
Slope = Rise/Run
= 2 km/1 hr
= 2 km/hr
Rise = 1 km
Run = 1 hr
1
2
3
4
Time (hr)
5
6
7
Question
Below=isTotal
a distance
vs. time
graph
ofkm/6 hr
Average Speed
distance/Total
time
= 12
my position =during
a race. What was
2 km/hr
my AVERAGE speed for the entire race?
14
Distance (km)
12
10
8
Rise = 12 km
6
4
2
0
0
1
2
3
Time
Run
= (hr)
6 hr
4
5
6
Question


What does the slope of a distance
vs. time graph show you about the
motion of an object?
It tells you the SPEED
Question

Below is a distance vs. time graph for 3
runners. Who is the fastest?
7
Distance (mi.)
6
5
Bob
Jane
Leroy
4
3
2
1
0
0
1
2
3
4
5
6
35
Time (h)
Leroy is the fastest. He completed the race in 3 hours
Graphing Acceleration:
Speed vs. Time Graphs
14
Speed (m/s)
12
10
8
6
4
2
0
0
1
2
3
4
5
6
Time (s)
1)Speed is increasing with time = accelerating
2)Line is straight = acceleration is constant
Graphing Acceleration:
Speed vs. Time Graphs
14
Speed (m/s)
12
10
8
Rise = 4 m/s
6
4
Run = 2 s
2
0
0
1
2
3
4
5
Time (s)
1)In Speed vs. Time graphs:
Acceleration = Rise/Run
= 4 m/s ÷ 2 s = 2 m/s2
6
Graphing Acceleration:
Distance vs. Time Graphs
35
Distance (m)
30
25
20
15
10
5
0
0
1
2
3
4
5
Time (s)
1)On Distance vs. Time graphs a curved line means the
object is accelerating.
2)Curved line also means your speed is increasing.
Remember slope = speed.
Question
14
Speed (m/s)
12
Run = 3 s
10
8
Rise = -6 m/s
6
4
2
0
0
1
2
3
4
5
6
Time (s)
Above is a graph showing the speed of a car over time.
1) How is the speed of the car changing (speeding up,
Slowing down, or staying the same)?
2) What is this car’s acceleration?
1) The car is slowing down
2) Acceleration = rise/run = -6m/s ÷3s = -2 m/s2
Question:
35
Distance (m)
30
25
20
15
10
5
0
0
1
2
3
4
5
Time (s) a objects that are
The black and red lines represent
accelerating. Black is going a greater distance each second, so
it must be speeding up. Red is going less each second, so
must1)Which
be slowingline
downrepresents an object that is
Remember: in distance vs. time graphs:
accelerating?
curved line = accelerating, flat line = constant speed
Question: Hard one
Distance (m)
Speed (m/s)
14
45
40
12
35
10
30
258
206
15
4
10
52
00
0
0
11
22
33
4 4
5 5
6
6
Time
Time
(s)(s)
Above is a graph showing the speed of a car over time.
1)What would a distance vs. time graph for this
look like?