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Speed vs. Velocity P-T Graphs Mr. Fedell
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1- Direction Motion VOCAB
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Position: Where you are Distance: How far you went Time: When something happens Elapsed time: How long it took Both in Meters Both in Seconds
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Distance vs. Displacement Total Distance = ________m -How far you go in any direction -Direction doesn’t matter -Can never be NEGATIVE! Displacement = ________m -Final position & starting position -Direction DOES matter -Can be negative
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Distance vs. Displacement Example #1 Distance Displacement Ave Speed = Ave Velocity =
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Distance vs. Displacement Example #2 Silver Fox is running around trying to catch a troublemaker. He starts on the 5m mark, goes out to 9 meters, then back to 2 meters, and finally catches them at the 4m mark. He does all this in 5 seconds. What is his: a)Total distance? b)Total displacement? c)Avg speed? d)Avg velocity?
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Substituted Equation 1.Start with y=mx + b form 2.Get rid of (y) and (x) 3.Replace them with letters from the experiment 4.Keep the numbers the same
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Substituted Equation Example A graph of your position vs. time was found to have a slope of 12.4 m/s and y-intercept of 4.0 m… a)What was your position at 10 seconds? b)How long had it been when your position was 25m?
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In the CAR LAB… The car had constant velocity Constant velocity = not speeding up or slowing down…cruise control Any straight line P-T graph (P-T = position vs. time) In Logger Pro labs…detector is the origin.
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In the CAR LAB… The slope of a position – time (P-T) graph is equal to the _______________. StillCV - AwayCV - Towards 0 Slope+ slope- slope 0 Velocity+ velocity- velocity (Forward)(Reverse)
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What kind of motion made this graph?
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Car Lab…with Logger Pro Open Logger Pro on your laptop. File Open Additional Physics Real-time physics Mechanics Open file “distance” Plug in the motion detector into the LabPro port DIG/SONIC1 Plug in the LabPro USB cable into the laptop -Press “Collect” -Wait for the clicking noise to start -Release the Jeep, let it drive straight -Select the part of the graph where the car was driving -Press “Linear Fit” to measure the slope of the lines Collect these graphs: -CV Away -Still -CV Towards Draw WELL-LABELED graphs at the bottom of your paper.
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Concept Review Sign (+ away/- towards) determines direction Straight line = constant velocity Curved line = speed up/slow down Linear lines use slope: y=mx+b
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Motion Maps The graph can also be represented as a motion map. GraphMotion Map - is this graph changing speed or constant speed? - is the slope (+) or (-) - does the graph indicate (+) or (-) displacement? - is the motion of the object towards or away
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Time to…practice – Left Side Page 1 1.Still 2.CV – away 3.CV – towards 4.Speed up – away 5.Slow down - away 6.Speed up – towards 7.Slow down - towards
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Practice KEY
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“Racing Questions” Which car is moving faster A or B? Head start & Foot race
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Speeding up or Slowing down Horizontal: Vertical: Speed up – away Slow down – away Speed up – toward Slow down - toward
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Practice – Page 2
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Page 2 KEY
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Practice - Page 3 DO NOT WORK AHEAD!!!
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Page 3 - KEY
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Practice Page 4 DO NOT JUMP BACK TO PAGE 1!!!
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Page 4 KEY
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Sample Quiz Question #1 a)How fast was the object going? b)What is the equation of the line in y=mx+b format? c)What is the substituted equation?
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Sample Quiz Question #2 a)How fast was the object going? b)What is the equation of the line in y=mx+b format? c)What is the substituted equation?
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Sample Quiz Question #3 Find total distance traveled: Find total displacement: How fast was the object moving at each stage?
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Practice #4A,C,E - curves 1.Velocity is constant 2.Velocity is changing 3.+ velocity 4.-velocity 5.Speeding up 6.Slowing down 7.Moving away from origin 8.Moving towards origin
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Graph Matching Lab 1.Go to a station with a laptop 2.Open Logger Pro. 3.Connect the LabPro and Motion Detector (Dig/Sonic1) 4.File Open EAS_SHARES Drive Bauer STU_SHARE Logger Pro Files Graph Matching Folder 5. Your group’s job is to match graphs 1-8! One group member will “perform” the official version when I come by.
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