how can you create the following position graphs?
DESCRIPTION
X (m). X (m). X (m). X (m). t (sec). t (sec). t (sec). t (sec). How Can You Create the Following Position Graphs?. Graph 1. Graph 2. Graph 3. Graph 4. A. Speed Up B. Turn Around C. Slow DownD. Stand Still. V (m/s). 0. t (sec). V (m/s). V (m/s). V (m/s). - PowerPoint PPT PresentationTRANSCRIPT
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How Can You Create the Following Position Graphs?
X(m)
t (sec)
X(m)
t (sec)
X(m)
t (sec)
X(m)
t (sec)
A. Speed Up B. Turn Around C. Slow Down D. Stand Still
Graph 1. Graph 2.
Graph 4.Graph 3.
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How Can You Create the Following Velocity Graphs?
A. Speed Up, then Slow Down B. Turn Around C. Walk AwayD. Stand Still E. Walk Toward
V(m/s)
t (sec)0
V(m/s)
t (sec)0
V(m/s)
t (sec)0
V(m/s)
t (sec)0
Graph 1.
Graph 3.
Graph 2.
Graph 4.
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Which Object is Moving Faster (Greatest Speed)?
X(m)
t (sec)
X(m)
t (sec)
X(m)
t (sec)
X(m)
t (sec)
A. Line A B. Line B C. Tie D. Can’t Tell
A
B
B
BB
A
A
A
Graph 1.
Graph 3.
Graph 2.
Graph 4.
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Which Object is Moving Faster (Greatest Speed)?
A. Line A B. Line B C. Tie D. Can’t Tell
A
B V(m/s)
t (sec)0
Which Object is Ahead?
A. Line A B. Line B C. Tie D. Can’t Tell
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Which Object is Moving Faster (Greatest Speed)?
A. Line A B. Line B C. Tie D. First B, then A
B. E. First A, then B
Which Object is Ahead?A. Line A B. Line B C. Neither D. Can’t
TellWhat Does the Intersection Represent?
A. Same Position B. Same Velocity
C. They Crash Into Each Other D. They Turn Around
V(m/s)
t (sec)0
B
A
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Create a Velocity Graph from a Position Graph
Distance and Velocity Vs Time
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Create a Velocity Graph from a Position Graph
Distance and Velocity Vs Time
Velocity is the Slope of the Position Graph
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Create a Velocity Graph from a Position Graph
Distance and Velocity Vs Time
(3.0, 3.5)
(0.5, 1.0)
∆x
∆t
Slope = ∆x = 3.5 - 1.0 = +1 m/s∆t 3.0 - 0.5
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Create a Velocity Graph from a Position Graph
Distance and Velocity Vs Time
Slope = 0Velocity = 0
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Create Position Graph from a Velocity GraphDoes the Velocity Graph tell you Where to Start?
Distance and Velocity Vs Time
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Line Stays at 1 m while Velocity is ZeroHow Far Do You Go from 3 to 6 seconds?
Distance and Velocity Vs Time
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You end up at 2.5 meter Position at 6 secondsHow Far Do You Go from 6 to 9 seconds?
Distance and Velocity Vs Time
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You End Up Back Where You StartedWhat Does the Graph Do Next?
Distance and Velocity Vs Time
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What is Average Speed While Moving?What is the Average Velocity While Moving?
Distance and Velocity Vs Time
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What is Average Speed While Moving?What is the Average Velocity While Moving?
Distance and Velocity Vs Time
€
S =T.D.
Δt=
1.5m +1.5m
6s= 0.5m /s
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What is Average Speed While Moving?What is the Average Velocity While Moving?
Distance and Velocity Vs Time
€
V =Δx
Δt=
0m
6s= 0.0m /s
€
S =T.D.
Δt=
1.5m +1.5m
6s= 0.5m /s
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Area “Under” a Velocity Graph is Displacement
Distance and Velocity Vs Time
0.5 m/s 3 s = 1.5 m
-0.5 m/s 3 s = -1.5 m
+1.5 m-1.5 m
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Area “Under” a Velocity Graph is Displacement,even when Velocity Line has a Slope
Distance and Velocity Vs Time
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Distance and Velocity Vs Time
Area “Under” a Velocity Graph is Displacement,even when Velocity Line has a Slope
Area = 1/2 4s .5 m/s = 1m
Area = 1/2 2s .5 m/s = 0.5 m
Area = 4s .5 m/s = 2 m
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Distance and Velocity Vs Time
Or, Displacement is the Average Velocity times the Time
€
V =Δx
Δt, Δx =V × Δt, V =
V0 +V
2
€
Δx =0m /s+ 0.5m /s
2
⎛
⎝ ⎜
⎞
⎠ ⎟× 4s =1m
€
Δx =0.5m /s+ 0m /s
2
⎛
⎝ ⎜
⎞
⎠ ⎟× 2s = 0.5m
€
Δx =0.5m /s+ 0.5m /s
2
⎛
⎝ ⎜
⎞
⎠ ⎟× 4s = 2m
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E&P #17
1. When, if ever, is the animal to the left of the origin on the axis? (A) never (B) between t = 0 and t = 2 (C) none of these (D) between t = 2 and t = 4 (E) between t = 4 and t = 7
2. When, if ever, is its velocity negative? (A) never (B) between t = 3 and t = 7 (C) none of these (D) between t = 0 and t = 3 (E) between t = 2 and t = 4
3. When, if ever, is its velocity positive?
(A) always (B) between t = 3 and t = 7 (C) none of these (D) between t = 0 and t = 3 (E) never
4. When, if ever, is its velocity zero? (A) around t = 1 (B) at t = 3 (C) between t = 2.5 and t = 4.5 (D) never (E) at t = 0
+
0
-
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E&P #19
1. What is the total distance covered between 0 and 16 seconds by the runner whose velocity is shown above?(A) 128 m(B) 80 m(C) 100 m(D) Can’t tell(E) None of the above
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Which Graph Shows the Velocity of a Ball Thrown Straight Up, After it Leaves Your Hand?
V(m/s)
t (sec)0
V(m/s)
t (sec)0
V(m/s)
t (sec)0
V(m/s)
t (sec)0
A
C
B
D
V(m/s)
t (sec)0
E