2.4 Lines. Slope Find the slope of the line passing through the given points.
Find the slope between 0 and 4.0 s. Find the slope between 0 and 12.0 s. Find the slope between 4.0...
24
-
Upload
jocelyn-harmon -
Category
Documents
-
view
225 -
download
2
Transcript of Find the slope between 0 and 4.0 s. Find the slope between 0 and 12.0 s. Find the slope between 4.0...
• Find the slope between 0 and 4.0 s.• Find the slope between 0 and 12.0 s.• Find the slope between 4.0 and 8.0 s.• Find the slope between 8.0 s and 16.0 s.• Find the slope between 0 to 20.0 s.
• Slope: +5.0 m/s at all times between 0 and 20.0 s.• How would you describe the motion of the object?
Position vs Time
+0.0
+20.0
+40.0
+60.0
+80.0
+100.0
+120.0
0.0 2.0 4.0 6.0 8.0 10.0 12.0 14.0 16.0 18.0 20.0
Time (s)
Po
sitio
n (
m)
• What is the slope of a position-time?
• m = Δy/Δx= Δp/Δt=Δd/Δt=p2-p1/(t2-t1)=v• The slope of a position–time graph gives the
average velocity between the two times.
• m = Δy/Δx=|Δd|/Δt=distance/time=speed• The slope of a distance-time graph gives the
average speed between the two times.
• Sketch the velocity vs. time graph of the previous position-time graph.
Velocity vs Time
+0.0
+1.0
+2.0
+3.0
+4.0
+5.0
+6.0
0.0 2.0 4.0 6.0 8.0 10.0 12.0 14.0 16.0 18.0 20.0
Time (s)
Vel
ocity
(m/s
)
Speed vs Time
0.0
1.0
2.0
3.0
4.0
5.0
6.0
0.0 2.0 4.0 6.0 8.0 10.0 12.0 14.0 16.0 18.0 20.0
Time (s)
Spe
ed (m
/s)
Position vs Time
-120.0
-100.0
-80.0
-60.0
-40.0
-20.0
0.0
0.0 2.0 4.0 6.0 8.0 10.0 12.0 14.0 16.0 18.0 20.0
Time (s)
Pos
ition
(m)
Velocity vs Time
-6.0
-5.0
-4.0
-3.0
-2.0
-1.0
0.0
0.0 2.0 4.0 6.0 8.0 10.0 12.0 14.0 16.0 18.0 20.0
Time (S)
Vel
oci
ty (
m/s
)
Speed vs Time
0.0
1.0
2.0
3.0
4.0
5.0
6.0
0.0 2.0 4.0 6.0 8.0 10.0 12.0 14.0 16.0 18.0 20.0
Time (s)
Spe
ed (m
/s)
Position vs Time
-160.0
-140.0
-120.0
-100.0
-80.0
-60.0
-40.0
-20.0
0.0
0.0 2.0 4.0 6.0 8.0 10.0 12.0 14.0 16.0 18.0 20.0
Time (s)
Po
sitio
n (
m)
Velocity vs Time
-6.0
-5.0
-4.0
-3.0
-2.0
-1.0
0.0
0.0 2.0 4.0 6.0 8.0 10.0 12.0 14.0 16.0 18.0 20.0
Time (S)
Vel
oci
ty (
m/s
)
Speed vs Time
0.0
1.0
2.0
3.0
4.0
5.0
6.0
0.0 2.0 4.0 6.0 8.0 10.0 12.0 14.0 16.0 18.0 20.0
Time (s)
Spe
ed (m
/s)
• Draw the velocity-time graph and speed-time graph of the event.
Position vs Time
+0.0
+10.0
+20.0
+30.0
+40.0
+50.0
+60.0
+70.0
+80.0
+90.0
+100.0
0.0 2.0 4.0 6.0 8.0 10.0 12.0 14.0 16.0 18.0 20.0
Time (s)
Po
sitio
n (
m)
Velocity vs TimeVelocity vs Time
-15
-10
-5
0
5
10
15
0.0 2.0 4.0 6.0 8.0 10.0 12.0 14.0 16.0 18.0 20.0
Time (s)
Vel
oci
ty (
m/s
)
Speed vs TimeSpeed vs Time
0
5
10
15
0.0 2.0 4.0 6.0 8.0 10.0 12.0 14.0 16.0 18.0 20.0
Time (s)
Vel
oci
ty (
m/s
)
Position vs Time
0
100
200
300
400
500
600
700
800
900
0 1 2 3 4 5 6 7 8 9 10
Time (s)
Po
sit
ion
(m
)
Average Velocity
• The average velocity between two times is • (650m-40m)/(9.0-2.0s) = 87 m/s
Instantaneous Velocity
• The instantaneous velocity at a specific time is the slope of the tangent line of a position-time graph at the specific time.
• The velocity, v, at 5 s is (500m-60m)/(8.6-3.1s) = 80 m/s
Position vs Time
0
100
200
300
400
500
600
700
800
900
0 1 2 3 4 5 6 7 8 9 10
Time (s)
Po
sit
ion
(m
)
Instantaneous Velocity
• The velocity increases as time pass because the tangent slope increases.
Position vs Time
0
100
200
300
400
500
600
700
800
900
0 1 2 3 4 5 6 7 8 9 10
Time (s)
Po
sit
ion
(m
)
• Describing Motion Graphs answers on the following slides.
Velocity vs Time
-15.0
-10.0
-5.0
0.0
5.0
10.0
15.0
0.0 2.0 4.0 6.0 8.0 10.0 12.0 14.0 16.0 18.0 20.0
Time (s)
Speed vs Time
-15.0
-10.0
-5.0
0.0
5.0
10.0
15.0
0.0 5.0 10.0 15.0 20.0 25.0
Time (s)
Velocity vs Time
-+5.0
-+4.0
-+3.0
-+2.0
-+1.0
+0.0
+1.0
+2.0
+3.0
+4.0
+5.0
0.0 10.0 20.0 30.0 40.0 50.0 60.0 70.0
Time (s)
Speed vs. Time
-5.0
-4.0
-3.0
-2.0
-1.0
0.0
1.0
2.0
3.0
4.0
5.0
0.0 10.0 20.0 30.0 40.0 50.0 60.0 70.0
Time (s)
Velocity vs Time
-+4.0
-+3.0
-+2.0
-+1.0
+0.0
+1.0
+2.0
+3.0
0.0 10.0 20.0 30.0 40.0 50.0 60.0 70.0 80.0 90.0 100.0
Time (s)
Ve
loc
ity
(m
/s)
Speed vs. Time
0.0
0.5
1.0
1.5
2.0
2.5
3.0
3.5
0.0 10.0 20.0 30.0 40.0 50.0 60.0 70.0 80.0 90.0 100.0
Time (s)
Sp
ee
d (
m/s
)
