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September 910 2014 What do we already know about graphing motion We know how to draw and interpret position vs time PT graphs Straight lines Positive slope Negative slope Zero slope ID: 776502

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Slide1

Graphs of Motion: P-T, V-T, and A-T

September 9-10, 2014

Slide2What do we already know about graphing motion?

We know how to draw and interpret position vs time (P-T) graphsStraight lines = Positive slope Negative slope: Zero slope:

Constant velocity / NO acceleration

v = +

v = -

v = 0

Slide3What do we already know about graphing motion?

We know how to draw and interpret position vs time (P-T) graphsCurved lines =

Accelerated motion

v = +a = +

v = -a = +

v = +

a = -

v = -

a = -

Slide4Your motion graph

Take a minute a look at your graph of motion … do you still think it is correct?

If not, fix it!

V-T graphs

What do you think these mean?

v

= +, a = 0

v

= +, a = +

v

= +, a = -

v

= -, a = 0

v = -, a = -

v

= -, a = +

Think, Pair, Share

Rules for V-T graphsHorizontal lines: Positive slopes: Negative slopes:Lines above the x axis: Lines below the x axis:

a = 0

a = +

a = -

v = +

v

= -

Slide6Test your Understanding

Think about your answer, wait until I tell you, then show me the answer by holding up the correct number of fingers.

Which runner(s) have the greatest speed?

ACB & DE

How do you know

?

Slide7Test your Understanding

Think about your answer, wait until I tell you, then show me the answer by holding up the correct number of fingers.

Which runners are slowing down?

AEC & DE &DNone of them

How do you know

?

Slide8Test your Understanding

Think about your answer, wait until I tell you, then show me the answer by holding up the correct number of fingers.

Which runners are changing direction?

ACDENone of them

How do you know

?

Slide9You Do: Interpreting V-T Graphs

Use the graph of the motion of a toy train, below, to answer the questions.

When is the train’s speed constant?When was the train’s velocity positive?When is the train’s acceleration positive?When did the train slow down?

From B-C, from D-E, and from F-G

From A-B, from C-D, and from G-H

From E-F

Always!

Slide10Putting it all together: Creating V-T and A-T graphs

To create a V-T graph, I will first determine the v and a of each segment of the graph.

v

= +a = 0

v

= 0a = 0

v

= -a = 0

v

= +a = +

v = +a = -

v

= +

a

= 0

v

= 0

a

= 0

v

= -

a

= 0

v

= +

a = +

v = +a = -

Slide11Putting it all together: Creating V-T and A-T graphs

v

= +a = 0

v

= 0a = 0

v

= -a = 0

v

= +a = +

v = +a = -

v

= +

a

= 0

v

= 0

a

= 0

v

= -

a

= 0

v

= +

a = +

v = +a = -

a

= 0

a

= +

a

= -

Slide12Creating V-T and A-T graphs: Testing your understanding

Study the problem, then when I say, show “thumbs up” or “thumbs down” to indicate whether the graph has been drawn correctly.

Slide13Creating V-T and A-T graphs: Testing your understanding

Study the problem, then when I say, show “thumbs up” or “thumbs down” to indicate whether the graph has been drawn correctly.

Slide14Creating V-T and A-T graphs: You Do

Draw the corresponding V-T and A-T

Slide15Homework HW sheet, HW Quiz next classClosureWhat were our objectives & how did we meet them?How did what we did today reflect our unit goal?How did we utilize our LP trait of communicators?What was our primary ‘way of knowing’ used today?Exit TicketComplete motion graphs classwork sheet