Using the same skill set, create the speed or velocity vs time graph for the given position vs time graphs. 1. Bike Ride Position vs. Time Speed vs. Time 40 40 30 30 20 을 201 10 10 2 4. 5 6 3 Hours 4 5 Hours 2. A walk in the park Position vs. Time Velocity vs. Time 800 600 400 200 10 50 60 20 30 Minutes 10 20 30 40 50 60 Minutes Miles Meters 2. 40 6, MPH Meters per Minute 08 -40 0 40 08-

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Chapter1: Units, Trigonometry. And Vectors
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Analyzing Graphs of Motion With Numbers
Speed can be calculated from position-time graphs and distance can be calculated from speed-time graphs. Both
calculations rely on the familiar speed equation: v= d/t.
This graph shows position and time for a sailboat starting from its home
port as it sailed to a distant island. By studying the line, you can see
that the sailboat traveled 10 miles in 2 hours.
Position vs. Time
20
15
Calculating speed from a position-
time graph
EXAMPLES
10
The speed equation allows us to calculate that the boat's speed during
this time was 5 miles per hour.
2
3
6
v= d/t v= 10 miles 2 hours
Hours
v = 5 miles/hour, read as 5 miles per hour
This result can now be transferred to a speed-time graph. Remember
that this speed was measured during the first two hours.
Speed
Time
10
The line showing the boat's speed is horizontal because the speed was
constant during the two-hour period.
Here is the speed-time graph of the same sailboat later in the voyage.
Between the second and third hours, the wind freshened, and the
sailboat gradually increased its speed to 7 miles per hour. The speed
remained 7 miles per hour to the end of the voyage. Using this
information, we complete the speed vs time graph.
4
5.
Hours
Speed vs. Time
3.
Hours
Notice that the direction of the sailboat is always going the same way. Therefore, the velocity vs time graph
would look the same. But if the sailboat turned around, then the velocity would be in the opposite direction.
HdW
MPH
Transcribed Image Text:Analyzing Graphs of Motion With Numbers Speed can be calculated from position-time graphs and distance can be calculated from speed-time graphs. Both calculations rely on the familiar speed equation: v= d/t. This graph shows position and time for a sailboat starting from its home port as it sailed to a distant island. By studying the line, you can see that the sailboat traveled 10 miles in 2 hours. Position vs. Time 20 15 Calculating speed from a position- time graph EXAMPLES 10 The speed equation allows us to calculate that the boat's speed during this time was 5 miles per hour. 2 3 6 v= d/t v= 10 miles 2 hours Hours v = 5 miles/hour, read as 5 miles per hour This result can now be transferred to a speed-time graph. Remember that this speed was measured during the first two hours. Speed Time 10 The line showing the boat's speed is horizontal because the speed was constant during the two-hour period. Here is the speed-time graph of the same sailboat later in the voyage. Between the second and third hours, the wind freshened, and the sailboat gradually increased its speed to 7 miles per hour. The speed remained 7 miles per hour to the end of the voyage. Using this information, we complete the speed vs time graph. 4 5. Hours Speed vs. Time 3. Hours Notice that the direction of the sailboat is always going the same way. Therefore, the velocity vs time graph would look the same. But if the sailboat turned around, then the velocity would be in the opposite direction. HdW MPH
A)
Read aloud Draw
Using the same skill set, create the speed or velocity vs time graph for the given position vs time graphs.
亡
1. Bike Ride
Position vs. Time
Speed vs. Time
40
40
30
30
20
20
10
10
1
3
4
6.
2
3
Hours
4
5
6
1
Hours
2. A walk in the park
Velocity vs. Time
80
Position vs. Time
800
600
400
200
10
20
30
40
Minutes
50
60
10
20
30 40
50
60
Minutes
Transcribed Image Text:A) Read aloud Draw Using the same skill set, create the speed or velocity vs time graph for the given position vs time graphs. 亡 1. Bike Ride Position vs. Time Speed vs. Time 40 40 30 30 20 20 10 10 1 3 4 6. 2 3 Hours 4 5 6 1 Hours 2. A walk in the park Velocity vs. Time 80 Position vs. Time 800 600 400 200 10 20 30 40 Minutes 50 60 10 20 30 40 50 60 Minutes
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