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
Download Presentation The PPT/PDF document " Graphs of Motion: P-T, V-T, and A-T" is the property of its rightful owner. Permission is granted to download and print the materials on this web site for personal, non-commercial use only, and to display it on your personal computer provided you do not modify the materials and that you retain all copyright notices contained in the materials. By downloading content from our website, you accept the terms of this agreement.
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!
Slide5V-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