**Graphing Motion and Velocity**

**Today, you will learn how to graph the speed and velocity of an object.**

First, you should know the terms involved with this topic

Example

Mrs.Williames and Mr.Wisnewski had a race. Mrs.Williames was in the lead at a speed of 400 meters per minute. Mr.Wisniewski was running 300 meters per minute for four minutes but then stopped to help Nicole and Michelle with double method. When he continued running he ran at a constant speed of 400 meters per minute.

Now We Are Going To See Who Was

Actually

Listening!

**By Nicole Mut, Michelle Mut, and Max Helman**

**P4**

Slope- the steepness of a line on a graph

X axis- the horizontal axis on a graph

Y axis- the vertical axis on a graph

Speed- Distance an object travels per unit of time

Velocity- the speed of an object and the direction of its motion

Helpful Equations

Slope=Rise or Change of Y

Run

Change of X

Speed and velocity=Distance

Time

Here is an example of how to determine slope

If it rises three and runs two, the slope is 3/2 or 1 1/2

Time= Distance

speed

Distance= Speed x Time

How do you organize your data?

Answer: A Distance-Time Graph!

The x axis will always be labeled time.

The Y axis will always be labeled distance.

Each axis must have equal intervals, all of the numbers you are working with, along with a title (and key if needed).

Positive Slope-

Distance traveled increases as time does

Stationary or constant speed (The object doesn't cover any distance during the time and has a slope of zero)

Time in min

Distance in meters

1

2

3

4

5

6

1200

800

1600

400

0

The Math Teacher Race

Y

X

The winning table gets candy!!!

On a distance-time graph, does distance or time go on the x axis?

?

?

Answer:Time goes on the X axis

What's the difference between speed and velocity?

Velocity

Speed

?

?

Answer: Velocity includes both the speed and direction in which an object is traveling.

What's the equation for speed?

Speed= Distance

Time

What is slope?

Slope is the steepness of a line on a graph.

Is the Y axis vertical or horizontal?

?

?

The Y axis is the vertical axis.

What's missing from this graph?

Time in min

Distance in miles

x

Y

1

0

The Title

What's wrong with this graph?

Time in min

1

2

3

4

5

6

7

8

9

10

Distance in miles

1

2

Barbara's 2 Mile Run

The time started at 1 minute instead of 0 minutes.

If Sarah has driven 30 miles in ten minutes, what is her speed?

Her speed is 3 miles per minute or 180 miles per hour

THE END!!!!!

(She's speeding!)

Mrs.Williames

Mr.Wisniewski

Questions?

?

?

Negative slope-Distance from beginning point decreases as time increases.

Rules

The first person to raise their hand gets to answer.

They must begin answering within three seconds.

The table that gets the most correct answers gets this bag of candy.