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Graphs of motion Contents:• Position graphs
• Whiteboard• Qualitative• Instantaneous
• Velocity graphs• Whiteboard• Qualitative
Position vs. Time graphs
TOC
Pos
itio
n in
met
ers
Time in seconds 5 s
4 m
(still at 2, 2 in 5, 4 in 2, -4 in 4)
Slope = rise/runSlope = Velocity
Whiteboards: Position vs. time
1 | 2 | 3 | 4
TOC
W
Pos
itio
n in
met
ers
Time in seconds 5 s
5 m
What is the velocity at 2.0 seconds?
.67 m/s
W
Pos
itio
n in
met
ers
Time in seconds 5 s
5 m
What is the velocity at 4.0 seconds?
0
W
Pos
itio
n in
met
ers
Time in seconds 5 s
5 m
What is the velocity at 6.2 seconds?
2.0 m/s
W
Pos
itio
n in
met
ers
Time in seconds 5 s
5 m
What is the velocity at 8.15 seconds?
-3.0 m/s
Whiteboards: Qualitative Position vs. time
TOC
Pos
itio
n in
met
ers
Time in seconds 5 s
5 m
What’s going on here?
Pos
itio
n in
met
ers
Time in seconds 5 s
5 m
What’s going on here?
Pos
itio
n in
met
ers
Time in seconds 5 s
5 m
What’s going on here?
Pos
itio
n in
met
ers
Time in seconds 5 s
5 m
What’s going on here?
Pos
itio
n in
met
ers
Time in seconds 5 s
5 m
What’s going on here?
Pos
itio
n in
met
ers
Time in seconds 5 s
5 m
What’s going on here?
Pos
itio
n in
met
ers
Time in seconds 5 s
5 m
What’s going on here?
Pos
itio
n in
met
ers
Time in seconds 5 s
5 m
What’s going on here?
Pos
itio
n in
met
ers
Time in seconds 5 s
5 m
What’s going on here?
Pos
itio
n in
met
ers
Time in seconds 5 s
5 m
v at 6.0 s =? Find the tangent slope
Finding instantaneous velocity
5.1/5.95.86 ms
Pos
itio
n in
met
ers
Time in seconds 5 s
5 m
What is the velocity at 3.0 seconds?
3/7.6 = .39 m/s
Pos
itio
n in
met
ers
Time in seconds 5 s
5 m
What’s the velocity at 6.0 seconds?
-2.85/4.5 = -.62 m/s
Pos
itio
n in
met
ers
Time in seconds 5 s
5 m
What’s the velocity at 6.0 seconds?
5.65/6.9 = .82 m/s
Velocity vs. Time graphs
TOC
Vel
ocit
y (m
/s)
Time in seconds 5 s
4 m/s
Slope = rise/runSlope = acceleration
(show driving on a road)
Area under is Displacement
3 m/s for 5 secondsHow far?
LxW = ?
Velocity vs. Time graphs
TOC
Vel
ocit
y (m
/s)
Time in seconds 5 s
4 m/s
Slope = rise/runSlope = acceleration
(show driving on a road)
Area under is Displacement
Now how far?
Whiteboards: Velocity vs. time
1 | 2 | 3 | 4
TOC
velo
city
in m
/s
Time in seconds 5 s
5 m/s
What is the acceleration at 1.15887 seconds?
1.5 m/s/s
velo
city
in m
/s
Time in seconds 5 s
5 m/s
What is the acceleration at 8.1 seconds?
-.5 m/s/s
velo
city
in m
/s
Time in seconds 5 s
5 m/s
What displacement between 2 and 4 seconds?
6.0 m
velo
city
in m
/s
Time in seconds 5 s
5 m/s
What displacement between 4 and 7 seconds?
13.5 m
Whiteboards: Qualitative Velocity vs. time
TOC
Time
+ V
What’s going on here?
0 m/s
- V
Time
+ V
What’s going on here?
0 m/s
- V
Time
+ V
What’s going on here?
0 m/s
- V
Time
+ V
What’s going on here?
0 m/s
- V
Time
+ V
What’s going on here?
0 m/s
- V
Time
+ V
What’s going on here?
0 m/s
- V
Pos
itio
n
Time
Here is what it is as position v time