Do Now: 1. Walk in silently. Due Next Class: U1.HW1.Dist/Disp & P-t Graphs All (problems 1-3) 2. Grab a calculator and any papers for today. 3. Put your homework on the corner of your desk. 4. Usain Bolt (the fastest man alive) runs at 23 mi/hr. How fast is he running in m/s? Created by M. Kelly OBJECTS IN MOTION STAY IN MOTION!
By the end of today, IWBAT -Differentiate between distance and displacement - Plot and analyze position-time graphs from a set of data Why it matters in LIFE: Part of being a functional human being is being able to understand what s happening in the world around you! Why it matters in THIS CLASS: Our Goal = 80% Mastering today s lesson (focused participation, asking questions, etc) is the first brick that will help us reach our goal for this unit, and eventually for the year
TEKS: 4(B) describe and analyze motion in one dimension using equations with the concepts of distance, displacement, speed, average velocity, instantaneous velocity, and acceleration; By the end of today, IWBAT Differentiate between distance and displacement - Plot and analyze position-time graphs from a set of data. Topic: Distance, Displacement, & P-t Graphs
POSITION, x or y (Units of meters (m)) An object s location relative to an origin (or starting place).
DISTANCE, d (Units of meters (m)) The total additive length of an object s path, regardless of direction. d = l 1 + l 2 +
EXAMPLE Yao, Ling and Chien-Po run 50 m forwards to attack the charging Huns. They then quickly turn around and retreat 60m. What total distance did they run?
EXAMPLE Yao, Ling and Chien-Po run 50 m forwards to attack the charging Huns. They then quickly turn around and retreat 60m. What total distance did they run? They ran a total distance of 110m.
DISPLACEMENT, d (Units of meters (m)) A snapshot that looks at where you ended vs. where you started. d = x f x i Displacement is a vector, it needs magnitude & direction!
DIRECTIONS (+) directional words: Up, Right, North, East, Forwards (-) directional words: Down, Left, South, West, Backwards
EXAMPLE Yao, Ling and Chien-Po run 50 m forwards to attack the charging Huns. They then quickly turn around and retreat 60m. What is their displacement?
EXAMPLE Yao, Ling and Chien-Po run 50 m forwards to attack the charging Huns. They then quickly turn around and retreat 60m. What is their displacement? They are displaced -10m from where they began.
EXAMPLE Spongebob and Patrick are playing Eels & Escalators. On the escalator Spongebob starts at floor one, goes up to the 4th floor, then down to the 2nd floor, down to the first floor, and then up to the 7th floor. If each floor is 2 cm, what is his total distance and displacement in meters?
EXAMPLE Spongebob and Patrick are playing Eels & Escalators. On the escalator Spongebob starts at floor one, goes up to the 4th floor, then down to the 2nd floor, down to the first floor, and then up to the 7th floor. If each floor is 2 cm, what is his total distance and displacement in meters? Spongebob traveled a distance of 0.24m. Spongbob is displaced 0.12m from where he began.
GP With your table partner!
SUMMARY Distance: Like an odometer! How far you traveled in total. Displacement: How far you are from home.
HOW TO CHEAT AT GRAPH TITLES Graph titles are always the y variable vs. the x variable. Y VS. X x y
EXAMPLE Sadness walks forward 6m in 2 seconds. She then gets overcome with sorrow and lies on the floor for 5 seconds. Joy then drags Sadness backwards 6m in 3 seconds. Build a data table and then graph Sadness journey. Find her distance & displacement.
EXAMPLE Sadness walks forward 6m in 2 seconds. She then gets overcome with sorrow and lies on the floor for 5 seconds. Joy then drags Sadness backwards 6m in 3 seconds. Build a data table and then graph Sadness journey. Find her distance & displacement. Position (m) Time (s) Position (m) 0 0 2 6 7 6 10 0 0 7 6 5 4 3 2 1 Position vs. Time 0 1 2 3 4 5 6 7 8 9 10 11 Time (s)
GP Cinderella gracefully approached the ball moving 20m over the course of 40 seconds. She then gets nervous and goes back 4m over 2 seconds. Prince Charming grabs her hand and they stop to talk for 8 seconds. She then runs 100m back home over the course of 50 seconds.
INDEPENDENT PRACTICE! Procedure for IP time: 1) Silent work time 2) Try and solve without notes first! Hierarchy of who to ask 1) Your brain 2) Your notes 3) Your partner (quiet whisper) 4) Ms. Kelly
EXIT TICKET (5 MINUTES) 1. Define the difference between distance & displacement. 2. You are bored and decide to ride an elevator just for fun. Here is your displacement-time graph: a. What total distance did you travel? b. What is your displacement from t = 0s to t = 110s?
EXIT TICKET (5 MINUTES) 1. Define the difference between distance & displacement. Distance is adding up all travel, regardless of direction. Displacementis only looking at how far you are from where you started. 2. You are bored and decide to ride an elevator just for fun. Here is your displacement-time graph: a. What total distance did you travel? You traveled 45m. b. What is your displacement from t = 0s to t = 110s? You are displaced 25m from where you started.