how can you create the following position graphs?

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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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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 Presentation

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Page 1: How Can You Create the Following Position Graphs?

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.

Page 2: How Can You Create the Following Position Graphs?

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.

Page 3: How Can You Create the Following Position Graphs?

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.

Page 4: How Can You Create the Following Position Graphs?

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

Page 5: How Can You Create the Following Position Graphs?

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

Page 6: How Can You Create the Following Position Graphs?

Create a Velocity Graph from a Position Graph

Distance and Velocity Vs Time

Page 7: How Can You Create the Following Position Graphs?

Create a Velocity Graph from a Position Graph

Distance and Velocity Vs Time

Velocity is the Slope of the Position Graph

Page 8: How Can You Create the Following Position Graphs?

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

Page 9: How Can You Create the Following Position Graphs?

Create a Velocity Graph from a Position Graph

Distance and Velocity Vs Time

Slope = 0Velocity = 0

Page 10: How Can You Create the Following Position Graphs?

Create Position Graph from a Velocity GraphDoes the Velocity Graph tell you Where to Start?

Distance and Velocity Vs Time

Page 11: How Can You Create the Following Position Graphs?

Line Stays at 1 m while Velocity is ZeroHow Far Do You Go from 3 to 6 seconds?

Distance and Velocity Vs Time

Page 12: How Can You Create the Following Position Graphs?

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

Page 13: How Can You Create the Following Position Graphs?

You End Up Back Where You StartedWhat Does the Graph Do Next?

Distance and Velocity Vs Time

Page 14: How Can You Create the Following Position Graphs?

What is Average Speed While Moving?What is the Average Velocity While Moving?

Distance and Velocity Vs Time

Page 15: How Can You Create the Following Position Graphs?

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

Page 16: How Can You Create the Following Position Graphs?

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

Page 17: How Can You Create the Following Position Graphs?

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

Page 18: How Can You Create the Following Position Graphs?

Area “Under” a Velocity Graph is Displacement,even when Velocity Line has a Slope

Distance and Velocity Vs Time

Page 19: How Can You Create the Following Position Graphs?

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

Page 20: How Can You Create the Following Position Graphs?

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

Page 21: How Can You Create the Following Position Graphs?

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

-

Page 22: How Can You Create the Following Position Graphs?

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

Page 23: How Can You Create the Following Position Graphs?

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