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Distance-Time Graphs 2016-2017 Distance-Time Graphs 2016-2017

Distance-Time Graphs 2016-2017 - PowerPoint Presentation

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Distance-Time Graphs 2016-2017 - PPT Presentation

Review Speed Speed The measure of how fastslow something moves a particular distance over a given amount of time It can then be calculated using the following formula vdt How do you graph speed ID: 701838

object speed time distance speed object distance time axis graphs segment line point graph moving practice fast reference stopped slope calculate determine

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Slide1

Distance-Time Graphs

2016-2017Slide2

Review - Speed

Speed:

The measure of how fast/slow something moves a particular distance over a given amount of time.

It can then be calculated using the following formula:

v=d/tSlide3

How do you graph speed?

Graphs are always set up the same way:

Y - axis

X- axisSlide4

Distance - Time Graphs

On a distance time graph, the distance will always be the dependent variable on the y- axis

.

Time is the independent variable and will always be placed on the x-axis.

Y - axis

X- axisSlide5

Lines on the Graphs

The lines on the graphs can tell you many different things. For example:

The

slope of a line

(steepness)

can tell you speed

.

If the slope is steep (more vertical) then the speed is fast.

If the slope is flatter (more horizontal) then the speed is slow.If the

line is completely flat

or horizontal then the object has

no speed or is stopped

.Slide6

Examples of distance-time graphs

FAST

STOPPED

SLOWSlide7

Other things we can learn from a graph:

We

can also show the direction

the object is traveling. The

point on the graph where the x and y axis meet is the reference point

or where the object’s home base is located (their starting point).

If the

arrow or line is pointing away or moving away from the x axis then the object is moving away from their reference point

or starting point.If the arrow or line is pointing toward or moving toward the x axis then

the object is moving back to the reference point.

Slide8

Leaving and coming back: Slide9

Speeding up and Slowing down

The object is speeding up and has

positive acceleration.

The object is slowing down and has

negative acceleration

.Slide10

Practice reading graphsSlide11

Determining Speed from a graph

V=d/t

Think of the graph in sections divided by each line segment

Then determine the total distance for the line segment you are looking at.

Then determine the total time for that segment.

Finally, use the equation to determine speed of the line segment.

Example: the object traveled a total distance of 25 m for the first segment. It took the object 20 seconds. v=d/t v=25/20 v= 1.25 m/sSlide12

Practice

Calculate the speed for last line segment:

Distance traveled = 25 m

Time = 10 sec

v=d/t 25/10

2.50 m/sec

Was the object moving faster or slower than when they started?Slide13

Practice on your own:

Calculate the speed for the first segment.

Calculate the speed for the third segment.Slide14

Graphs and Stories

This object left the reference point at a fast constant pace.

They then stopped for a brief period of time.

Finally they began to move again but at a slower rate.Slide15

Example with stories

Joe left home at a moderate constant speed. He realized that he forgot his wallet and turned around to go home to get it. However, while walking back he realized it was in his pocket so he turned around to head back to his friend’s house. He picked up his pace a little to help make up some lost time. When he got to his friend’s house they stayed to watch a movie.Slide16

You Practice writing a story

Distance (m)