Speed vs. Velocity P-T Graphs Mr. Fedell. 1- Direction Motion VOCAB.

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Presentation transcript:

Speed vs. Velocity P-T Graphs Mr. Fedell

1- Direction Motion VOCAB

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

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

Distance vs. Displacement Example #1 Distance Displacement Ave Speed = Ave Velocity =

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?

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

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?

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.

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)

What kind of motion made this graph?

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.

Concept Review Sign (+ away/- towards) determines direction Straight line = constant velocity Curved line = speed up/slow down Linear lines use slope: y=mx+b

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

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

Practice KEY

“Racing Questions” Which car is moving faster A or B? Head start & Foot race

Speeding up or Slowing down Horizontal: Vertical: Speed up – away Slow down – away Speed up – toward Slow down - toward

Practice – Page 2

Page 2 KEY

Practice - Page 3 DO NOT WORK AHEAD!!!

Page 3 - KEY

Practice Page 4 DO NOT JUMP BACK TO PAGE 1!!!

Page 4 KEY

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?

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?

Sample Quiz Question #3 Find total distance traveled: Find total displacement: How fast was the object moving at each stage?

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

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.