PICK UP 1. Papers & calculator

TURN INHW U1-3 (blue)

DO NOW1. On a half sheet solve:

You walk from your house,

due north, to school, 2 mi.

After school, you go 1 mi

north to get a snack, and

then catch a ride home. What

is your total distance and

displacement for the day?

HW: U1 – 5 (pink)

Next Test: Friday!

U1

Why it matters in LIFE:

Part of being a

functional human

being is being able to

understand what’s

happening in the world

around you!

Why it matters in THIS CLASS: Our Goal = 80%

Mastering today’s lesson (focused

participation, asking questions, etc)

is the first brick that will help us

reach our goal for this unit, and

eventually for the year

By the end of today, IWBAT…-Define and calculate velocity

-Differentiate between speed and

velocity

-Plot a velocity time graph using

position – time data

TEKS:

4(B) describe and analyze motion in

one dimension using equations with

the concepts of distance,

displacement, speed, average

velocity, instantaneous velocity, and

acceleration;

Topic:

Velocity & V-t Graphs

By the end of today, IWBAT…

-Define and calculate velocity

-Plot a velocity time graph

using position – time data

Sadness walks forward 6m in 2 seconds. She then gets

overcome with sorrow and lies on the floor for 5 seconds.

Joy then drags Sadness backwards 6m in 3 seconds. Build

a data table and then graph Sadness’ journey. Find her

distance & displacement.

LAST CLASS’ EXAMPLE

Sadness walks forward 6m in 2 seconds. She then gets

overcome with sorrow and lies on the floor for 5 seconds.

Joy then drags Sadness backwards 6m in 3 seconds. Build

a data table and then graph Sadness’ journey. Find her

distance & displacement.

Time (s) Position (m)

0 0

2 6

7 6

10 0 0

1

2

3

4

5

6

7

0 1 2 3 4 5 6 7 8 9 10 11

Po

sit

ion

(m

)

Time (s)

Position vs. Time

LAST CLASS’ EXAMPLE

WHAT IF WE WANT TO

KNOW HOW FAST

SADNESS IS MOVING?

Time (s) Position (m)

0 0

2 6

7 6

10 0

0

1

2

3

4

5

6

7

0 1 2 3 4 5 6 7 8 9 10 11

Po

sit

ion

(m

)

Time (s)

Position vs. TimeLAST CLASS’ EXAMPLE

ON A P-T GRAPH

=∆𝑑

∆𝑡

∆𝑑

∆𝑡= 𝑣

How fast an object is moving in a certain direction.

Where:

v = velocity (m/s)

∆d = displacement (m)

∆t = time (s)

VELOCITY, v (Units meters/sec or (m/s))

𝑣 =∆𝑑

∆𝑡 Velocity is a

VECTOR! It has

both magnitude

& direction.

SPEED VS. VELOCITY

SPEED VELOCITY

Scalar Vector

How fast How fast + what

direction

Often times, these words are used interchangeably. The

problem assumes you can determine or assume the

direction.

a. What was Sadness’ velocity at time t = 6s?

b. What was her velocity at time t = 9s?

c. Build a velocity-time graph.

LAST CLASS’ EXAMPLE

0

2

4

6

8

0 1 2 3 4 5 6 7 8 9 10 11

Po

sit

ion

(m

)

Time (s)

Position vs. Time

-3

-2

-1

0

1

2

3

4

0 1 2 3 4 5 6 7 8 9 10 11

Ve

locit

y (m

/s)

Time (s)

Velocity (m/s) vs. Time (s)

Time (s) Position (m)

0 0

2 6

7 6

10 0

Cinderella gracefully approached the ball moving 20m over the course of 40

seconds. She then gets nervous and goes back 4m over 2 seconds. Prince

Charming grabs her hand and they stop to talk for 8 seconds. She then runs 100m

back home over the course of 50 seconds.

1. What is her velocity at t = 3s? t = 41s? t = 49s? t = 90s?

2. Create a velocity – time graph based on her journey.

GP

Time (s) Position (m)

0 0

40 20

42 16

50 16

100 -84 -100

-80

-60

-40

-20

0

20

40

0 20 40 60 80 100P

osit

ion

(m

)

Time (s)

Position vs. Time

A new kitten is playing in the room. Below is a graph

of her journey.GP

a) What is the total distance traveled?

b) What is the total displacement?

c) What is the displacement from t =

3s to t = 10s?

d) What is the position at t= 1s?

e) What is the velocity at t = 1s?

f) What is the positon at t = 4s?

g) What is the velocity at t = 4s?

h) What is the position at t= 14s?

i) What is the velocity at t = 14s?

Procedure for IP time:

1) Silent work time

2) Try and solve without notes first!

Hierarchy of who to ask

1) Your brain

2) Your notes

3) Your partner (quiet whisper)

4) Ms. Kelly

INDEPENDENT PRACTICE!

1. What is the total distance

traveled?

2. What is the total displacement?

3. What is the displacement from t

= 0s to t = 200s?

4. What is the position at t= 200s?

5. What is the velocity at t = 200s?

6. What is the positon at t = 350s?

7. What is the velocity at t = 350s?

8. What is the position at t= 500s?

9. What is the velocity at t = 500s?

EXIT TICKET (6 MINUTES)

EXIT TICKET (6 MINUTES)1. What is the total distance traveled?

d = 600m

2. What is the total displacement?

∆d =0m

3. What is the displacement from t = 0s to

t = 200s?

∆d =200m

4. What is the position at t= 200s?

200m

5. What is the velocity at t = 200s?

v = 1 m/s

6. What is the positon at t = 350s?

300m

7. What is the velocity at t = 350s?

v = 0 m/s

8. What is the position at t= 500s?

150 m

9. What is the velocity at t = 500s?

v = -1.5 m/s