Position-Time Graphs. POSITION (m) TIME (s) 10 20 30 40 50 5 10 1520 25 0 0 v = v = 2 m/s [E] 50 -...

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Position-Time Graphs

Transcript of Position-Time Graphs. POSITION (m) TIME (s) 10 20 30 40 50 5 10 1520 25 0 0 v = v = 2 m/s [E] 50 -...

Page 1: Position-Time Graphs. POSITION (m) TIME (s) 10 20 30 40 50 5 10 1520 25 0 0 v = v = 2 m/s [E] 50 - 30 25 - 15 v = Δd Δt v = 35 - 15 17.5 - 7.5.

Position-Time Graphs

Page 2: Position-Time Graphs. POSITION (m) TIME (s) 10 20 30 40 50 5 10 1520 25 0 0 v = v = 2 m/s [E] 50 - 30 25 - 15 v = Δd Δt v = 35 - 15 17.5 - 7.5.

PO

SIT

ION

(m

)TIME (s)

10

20

30

40

50

5 10 15 20 2500

v =

v = 2 m/s [E]

50 - 3025 - 15

v = ΔdΔt

v = 35 - 1517.5 - 7.5

Page 3: Position-Time Graphs. POSITION (m) TIME (s) 10 20 30 40 50 5 10 1520 25 0 0 v = v = 2 m/s [E] 50 - 30 25 - 15 v = Δd Δt v = 35 - 15 17.5 - 7.5.

+ 3.8 m/s

v =

+ 6.7 m/s

v =

v =

∆dt

PO

SIT

ION

(m

)

TIME (s)

5

10

15

20

1 2 3 4

The steeper the line on a P-T graph, the greater the magnitude (size) of the velocity for that interval.

Page 4: Position-Time Graphs. POSITION (m) TIME (s) 10 20 30 40 50 5 10 1520 25 0 0 v = v = 2 m/s [E] 50 - 30 25 - 15 v = Δd Δt v = 35 - 15 17.5 - 7.5.

Relating P-T graphs to Velocity

I don't like you.

Good.

Page 5: Position-Time Graphs. POSITION (m) TIME (s) 10 20 30 40 50 5 10 1520 25 0 0 v = v = 2 m/s [E] 50 - 30 25 - 15 v = Δd Δt v = 35 - 15 17.5 - 7.5.

Origin- +

P(m

)

T(s)

P - T Graph

+ slope

Straight lineModerate slopePositive slope

Uniform velocitySlow velocityMoving away to the right

d1

d2

10

0

Page 6: Position-Time Graphs. POSITION (m) TIME (s) 10 20 30 40 50 5 10 1520 25 0 0 v = v = 2 m/s [E] 50 - 30 25 - 15 v = Δd Δt v = 35 - 15 17.5 - 7.5.

Origin- +

P(m

)

T(s)

P - T Graph

+ slope

Straight lineSteep slopePositive slope

Uniform velocityFast velocityMoving away to the right

d1 d2

Page 7: Position-Time Graphs. POSITION (m) TIME (s) 10 20 30 40 50 5 10 1520 25 0 0 v = v = 2 m/s [E] 50 - 30 25 - 15 v = Δd Δt v = 35 - 15 17.5 - 7.5.

Origin- +

P(m

)

T(s)

P - T Graph

No change in position No velocity (Uniform)

d1

NO slope

Page 8: Position-Time Graphs. POSITION (m) TIME (s) 10 20 30 40 50 5 10 1520 25 0 0 v = v = 2 m/s [E] 50 - 30 25 - 15 v = Δd Δt v = 35 - 15 17.5 - 7.5.

P - T Graph

Origin- +

P(m

)

T(s)

- slope

Straight lineModerate slopeNegative slope

Uniform velocitySlow velocityMoving towards the left

d1d2

Page 9: Position-Time Graphs. POSITION (m) TIME (s) 10 20 30 40 50 5 10 1520 25 0 0 v = v = 2 m/s [E] 50 - 30 25 - 15 v = Δd Δt v = 35 - 15 17.5 - 7.5.

Origin- +P - T Graph

P(m

)

T(s)

- slope

Straight lineSteep slopeNegative slope

Uniform velocityFast velocityMoving towards the left

d1d2

Page 10: Position-Time Graphs. POSITION (m) TIME (s) 10 20 30 40 50 5 10 1520 25 0 0 v = v = 2 m/s [E] 50 - 30 25 - 15 v = Δd Δt v = 35 - 15 17.5 - 7.5.

P(m

)

T(s)

P - T Graph

- slope

Origin- +

Straight lineSteep slopeNegative slope

Uniform velocityFast velocityMoving left and passing

d1d2

0

+30

-5

Page 11: Position-Time Graphs. POSITION (m) TIME (s) 10 20 30 40 50 5 10 1520 25 0 0 v = v = 2 m/s [E] 50 - 30 25 - 15 v = Δd Δt v = 35 - 15 17.5 - 7.5.

Pos

itio

n (m

)

Time (s)0

+35

30

25

20

15

10

5

5

-10

∆d = 5 + 15 + 5 = 25 m

∆d = d2 – d1

= (+15) – (0) = +15 m