# Speed vs. Velocity P-T Graphs

Velocity-Time(VT) Graphs Mr. Fedell VT vs. PT graphs A position-time (PT) graph tells you where an object is. A velocity-time graph tells you how fast its moving. **(VT graphs DO NOT give in

position info!)** When an object stays still for 10s, its velocity is 0 m/ s. Constant Velocity CV AWAY CV-TOWARDS

Speeding up or Slowing down Speed up away away Speed up toward toward Slow down Slow down -

This may help AWAY STILL TOWARDS V vs. T Graphs WS Practice! V vs. T Graphs WS KEY!

PT and VT Motion Detector Lab File Open Additional Physics Real Time physics Mechanics Open file Constant Velocity Extend data collection from 5-10 seconds. - Capture the PT and VT for a JEEP backflip - Sketch well-labeled graphs. Label parts as CV-away, still, CV-towards - Obtain the slope of the PT on both the CV away and CV towards sections, compare with your VT graph! (show all work below)

This may help AWAY STILL TOWARDS Racing Questions In this race, who is: a) Moving faster

i. at 0 seconds? ii. at 5 seconds? iii. at 10 seconds? b) Moving with a positive velocity? c) What does the intersection indicate? d)Who started ahead? Practice Racing problems!

Converting from POSITION to VELOCITY Graphs The slope of a P-T graph is the velocity. Making a VT from a PT +40 0 m/s

+30 +20 -10 m/s +10 0 m/s Velocity (m/s)

+20 m/s 0 -10 -20 -30

-40 Practice - Page 3 Page 3 - KEY See white board. Velocity from Position Motion Detector

Lab File Open Additional Physics Real Time physics Mechanics Open file Velocity from Position - Sketch well-labeled PT and VT graphs for CV-Away, Still, and CV-Towards Concept Review What information can we gather from a PT? What value does slope represent?

A negative slope indicates what? What information can we gather from a VT? Can we obtain position information from a VT? What is indicated when an objects velocity goes from + to ? What value might slope represent? (units?) More Practice!!! SLOPES! The slope of PT graph gives the velocity (m/s).

The slope of a VT graph gives the acceleration (change in velocity) Includes both SPEED UP and SLOW DOWN Unit for acceleration = m/s2 or m/s/s SLOPES! So what does an acceleration of 1 m/s2 mean?

How about 5 m/s2 ? Kingda Ka: 11 m/s2 !!! SLOPES! A slope of ZERO indicates CONSTANT VELOCITY or STILL Still CV-AWAY CV-Towards

SLOPES! A steeper slope the higher the acceleration. Its the more QUICKLY and object can CHANGE its VELOCITY. Motorcycle 18 Wheeler For this velocity-time graph +

Velocity (m/s) 0 - Still CV Speed up Slow down

Changing velocity Object is moving fastest Moving away Moving towards For this velocity-time graph +80 +60

+40 +20 Velocity (m/s) 0 -20

-40 - 60 - 80 When does this object change direction!? Graph Matching Lab

1. File Open EAS_SHARES Drive Bauer STU_SHARE Logger Pro Files Graph Matching Folder 2. Your groups job is to match graphs 1-3! Practice Quiz Question #1 At rest Constant velocity Speeding up Slowing down Moving away from the origin

Moving towards the origin Farthest distance from the origin Practice Quiz Question #2 40 35 Initial position? 30

25 Final position? 20 15 Displacement?

10 5 Velocity at each stage? Practice Quiz Question #3 +8

+6 +4 A +2 Velocity (m/s) 0

-2 -4 -6 -8 B

C D E F G At rest Constant velocity

Speeding up Slowing down Moving away from the origin Moving towards the origin Farthest distance from the origin Draw the PT for the following scenario:

You You You You You walk to Java City for 5s

slow down as you approach the line for 5s wait in line for 5s turn around and speed up for 5s walk at a constant velocity for 5s Convert the PT from last slide to a VT Sign of Velocity and Acceleration If an object has zero acceleration, it is:

1. Still 2. CV-AWAY 3. CV-TOWARDS Change in velocity (slope of a VT graph) Acceleration has a direction Its not always pointing in the same direction youre moving Scenario 1: Speeding

up (gas pedal) + Velocity Scenario 2: Slowing Down (brakes) + Velocity + Acceleration - Acceleration

Sign of Velocity and Acceleration If you are accelerating in the SAME direction youre moving Speeding Up Reverse Forward V (-) V (+) a (-) a (+) If you are accelerating in the OPPOSITE direction youre moving

Slowing Down Reverse Forward V (-) V (+) a (+) a (-)

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