Graphs of motion Contents: Position graphs Whiteboard Qualitative Instantaneous Velocity graphs...

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Graphs of motion Contents: Position graphs Whiteboard Qualitative Instantaneous Velocity graphs Whiteboard Qualitative

Transcript of Graphs of motion Contents: Position graphs Whiteboard Qualitative Instantaneous Velocity graphs...

Page 1: Graphs of motion Contents: Position graphs Whiteboard Qualitative Instantaneous Velocity graphs Whiteboard Qualitative.

Graphs of motion Contents:• Position graphs

• Whiteboard• Qualitative• Instantaneous

• Velocity graphs• Whiteboard• Qualitative

Page 2: 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

Page 3: Graphs of motion Contents: Position graphs Whiteboard Qualitative Instantaneous Velocity graphs Whiteboard Qualitative.

Whiteboards: Position vs. time

1 | 2 | 3 | 4

TOC

Page 4: Graphs of motion Contents: Position graphs Whiteboard Qualitative Instantaneous Velocity graphs Whiteboard Qualitative.

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

Page 5: Graphs of motion Contents: Position graphs Whiteboard Qualitative Instantaneous Velocity graphs Whiteboard Qualitative.

W

Pos

itio

n in

met

ers

Time in seconds 5 s

5 m

What is the velocity at 4.0 seconds?

0

Page 6: Graphs of motion Contents: Position graphs Whiteboard Qualitative Instantaneous Velocity graphs Whiteboard Qualitative.

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

Page 7: Graphs of motion Contents: Position graphs Whiteboard Qualitative Instantaneous Velocity graphs Whiteboard Qualitative.

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

Page 8: Graphs of motion Contents: Position graphs Whiteboard Qualitative Instantaneous Velocity graphs Whiteboard Qualitative.

Whiteboards: Qualitative Position vs. time

TOC

Page 9: Graphs of motion Contents: Position graphs Whiteboard Qualitative Instantaneous Velocity graphs Whiteboard Qualitative.

Pos

itio

n in

met

ers

Time in seconds 5 s

5 m

What’s going on here?

Page 10: Graphs of motion Contents: Position graphs Whiteboard Qualitative Instantaneous Velocity graphs Whiteboard Qualitative.

Pos

itio

n in

met

ers

Time in seconds 5 s

5 m

What’s going on here?

Page 11: Graphs of motion Contents: Position graphs Whiteboard Qualitative Instantaneous Velocity graphs Whiteboard Qualitative.

Pos

itio

n in

met

ers

Time in seconds 5 s

5 m

What’s going on here?

Page 12: Graphs of motion Contents: Position graphs Whiteboard Qualitative Instantaneous Velocity graphs Whiteboard Qualitative.

Pos

itio

n in

met

ers

Time in seconds 5 s

5 m

What’s going on here?

Page 13: Graphs of motion Contents: Position graphs Whiteboard Qualitative Instantaneous Velocity graphs Whiteboard Qualitative.

Pos

itio

n in

met

ers

Time in seconds 5 s

5 m

What’s going on here?

Page 14: Graphs of motion Contents: Position graphs Whiteboard Qualitative Instantaneous Velocity graphs Whiteboard Qualitative.

Pos

itio

n in

met

ers

Time in seconds 5 s

5 m

What’s going on here?

Page 15: Graphs of motion Contents: Position graphs Whiteboard Qualitative Instantaneous Velocity graphs Whiteboard Qualitative.

Pos

itio

n in

met

ers

Time in seconds 5 s

5 m

What’s going on here?

Page 16: Graphs of motion Contents: Position graphs Whiteboard Qualitative Instantaneous Velocity graphs Whiteboard Qualitative.

Pos

itio

n in

met

ers

Time in seconds 5 s

5 m

What’s going on here?

Page 17: Graphs of motion Contents: Position graphs Whiteboard Qualitative Instantaneous Velocity graphs Whiteboard Qualitative.

Pos

itio

n in

met

ers

Time in seconds 5 s

5 m

What’s going on here?

Page 18: Graphs of motion Contents: Position graphs Whiteboard Qualitative Instantaneous Velocity graphs Whiteboard Qualitative.

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

Page 19: Graphs of motion Contents: Position graphs Whiteboard Qualitative Instantaneous Velocity graphs Whiteboard Qualitative.

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

Page 20: Graphs of motion Contents: Position graphs Whiteboard Qualitative Instantaneous Velocity graphs Whiteboard Qualitative.

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

Page 21: Graphs of motion Contents: Position graphs Whiteboard Qualitative Instantaneous Velocity graphs Whiteboard Qualitative.

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

Page 22: Graphs of motion Contents: Position graphs Whiteboard Qualitative Instantaneous Velocity graphs Whiteboard Qualitative.

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 = ?

Page 23: Graphs of motion Contents: Position graphs Whiteboard Qualitative Instantaneous Velocity graphs Whiteboard Qualitative.

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?

Page 24: Graphs of motion Contents: Position graphs Whiteboard Qualitative Instantaneous Velocity graphs Whiteboard Qualitative.

Whiteboards: Velocity vs. time

1 | 2 | 3 | 4

TOC

Page 25: Graphs of motion Contents: Position graphs Whiteboard Qualitative Instantaneous Velocity graphs Whiteboard Qualitative.

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

Page 26: Graphs of motion Contents: Position graphs Whiteboard Qualitative Instantaneous Velocity graphs Whiteboard Qualitative.

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

Page 27: Graphs of motion Contents: Position graphs Whiteboard Qualitative Instantaneous Velocity graphs Whiteboard Qualitative.

velo

city

in m

/s

Time in seconds 5 s

5 m/s

What displacement between 2 and 4 seconds?

6.0 m

Page 28: Graphs of motion Contents: Position graphs Whiteboard Qualitative Instantaneous Velocity graphs Whiteboard Qualitative.

velo

city

in m

/s

Time in seconds 5 s

5 m/s

What displacement between 4 and 7 seconds?

13.5 m

Page 29: Graphs of motion Contents: Position graphs Whiteboard Qualitative Instantaneous Velocity graphs Whiteboard Qualitative.

Whiteboards: Qualitative Velocity vs. time

TOC

Page 30: Graphs of motion Contents: Position graphs Whiteboard Qualitative Instantaneous Velocity graphs Whiteboard Qualitative.

Time

+ V

What’s going on here?

0 m/s

- V

Page 31: Graphs of motion Contents: Position graphs Whiteboard Qualitative Instantaneous Velocity graphs Whiteboard Qualitative.

Time

+ V

What’s going on here?

0 m/s

- V

Page 32: Graphs of motion Contents: Position graphs Whiteboard Qualitative Instantaneous Velocity graphs Whiteboard Qualitative.

Time

+ V

What’s going on here?

0 m/s

- V

Page 33: Graphs of motion Contents: Position graphs Whiteboard Qualitative Instantaneous Velocity graphs Whiteboard Qualitative.

Time

+ V

What’s going on here?

0 m/s

- V

Page 34: Graphs of motion Contents: Position graphs Whiteboard Qualitative Instantaneous Velocity graphs Whiteboard Qualitative.

Time

+ V

What’s going on here?

0 m/s

- V

Page 35: Graphs of motion Contents: Position graphs Whiteboard Qualitative Instantaneous Velocity graphs Whiteboard Qualitative.

Time

+ V

What’s going on here?

0 m/s

- V

Page 36: Graphs of motion Contents: Position graphs Whiteboard Qualitative Instantaneous Velocity graphs Whiteboard Qualitative.

Pos

itio

n

Time

Here is what it is as position v time