Graphical Analysis of Motion

Slides:



Advertisements
Similar presentations
Graphical Analysis of Motion
Advertisements

Chapter 2 Motion in One Dimension
Methods of Motion Honors Physics. YOU deserve a speeding ticket! I am the LAW around here and the LAW says that the speed limit is 55 miles per hour!
Graphing Motion.
College Physics, 7th Edition
Graphing Motion Position vs. Time Stationary objects
Methods of Motion Physics. Scalar A SCALAR is ANY quantity in physics that has MAGNITUDE, but NOT a direction associated with it. Magnitude – A numerical.
Kinematics AP Physics 1. Defining the important variables Kinematics is a way of describing the motion of objects without describing the causes. You can.
Motion  1 Position, Speed and Velocity  2 Graphs of Motion  3 Acceleration.
Types of Motion PreAP Physics. YOU deserve a speeding ticket! Officer Friendly is the LAW around here and the LAW says that the speed limit is 55 miles.
Graphical Analysis of Motion AP Physics B. Slope – A basic graph model A basic model for understanding graphs in physics is SLOPE. Using the model - Look.
Homework Day 1 Questions 1-10 Problems 1-12 odd only Day 2 Problems odd only Day 3 Review Answers 1-29 on line Day 4 Problems 34, 38, 40, 44, 47,49,
Graphing Motion, Speed and Velocity. Graphs of Motion A Distance vs. time graph that is a straight line always means the object moves the same.
Which line represents the greater speed? Graphing motion The greater the speed, the steeper the slope.
STARTER During a road trip, in 6 hours you travel 300 miles. What is your average velocity? Average Velocity = distance travelled/time taken = 300 miles/6.
Velocity vs. Time Analysis of a Velocity vs. Time graph.
2.2 Acceleration. Biblical Reference But flee there quickly, because I cannot do anything until you reach it. Genesis 19:22 Flight of Lot.
3.2 Notes - Acceleration Part A. Objectives  Describe how acceleration, time and velocity are related.  Explain how positive and negative acceleration.
Motion graphs pg.11. Create and interpret graphs of position versus time. Calculate velocity from the slope of the position vs. time graph. Create and.
Kinematics Graphical Analysis of Motion. Goal 2: Build an understanding of linear motion. Objectives – Be able to: 2.04 Using graphical and mathematical.
Unit 1 – Linear Motion -Graphical Analysis of Motion
Let’s Review VELOCITY is the SLOPE of a distance, position, or displacement vs. time graph.
MOTION.
Welcome, I’m Professor Bob and I’m here to present today’s topic,
Graphical Analysis of Motion
Methods of Motion Honors Physics.
Acceleration Pg. 9 in NB This lesson defines acceleration, its signs and its units, and provides conceptual, graphical, and quantitative examples. Students.
Graphical Analysis of Motion
Meaning of Graphs.
MOTION.
Displacement-Time Graphs
Methods of Motion -Acceleration
Motion Graphs.
Chapter Four: Motion 4.1 Position, Speed and Velocity
Graphical Analysis of Motion
Motion.
Graphical Analysis of Motion
Non-Constant Velocity
Graphs of Motion SPH3U Exam Review.
Unit 1, Lesson 3: Displacement vs. Time Graphs
Motion Graphing Acceleration vs. Time Graphs
9.2 Calculating Acceleration
9.2 Calculating Acceleration
Motion Physics Part 1.
Days UNIT 1 Motion Graphs x t Lyzinski Physics.
GRAPHING ACCELERATION
9.1 Describing Acceleration
9.2 Calculating Acceleration
Pictures worth even MORE words now!
MOTION.
Motion Graphs – Area Under the Graph
9.2 Calculating Acceleration
Introduction to Acceleration-time graphs
Graphical Analysis of Motion
Graphical Analysis of Motion
Chapter 10 Section 2.
Graphical Analysis of Motion
Graphical Analysis of Motion
Graphical Analysis of Motion
Physical Science: Chapter 11
Chapter 4, Section 3 Acceleration.
Position vs Time Graphs
Graphical Analysis of Motion
Graphing Uniform Motion
Graphical Analysis of Motion
Graphical Analysis of Motion
DO NOW Come in get a calculator (you cannot use your phone calculator for the quiz). You will have 10 min to review before the quiz.
Motion Graphs AP Physics C.
Graphical Analysis of Motion
Graphical Analysis of Motion
Presentation transcript:

Graphical Analysis of Motion AP Physics B

Slope – A basic graph model A basic model for understanding graphs in physics is SLOPE. Using the model - Look at the formula for velocity. Who gets to play the role of the slope? Who gets to play the role of the y-axis or the rise? Who get to play the role of the x-axis or the run?  What does all the mean? It means that if your are given a Displacement vs. Time graph, to find the velocity of an object during specific time intervals simply find the slope. Velocity Displacement Time

Displacement vs. Time graph What is the velocity of the object from 0 seconds to 3 seconds? The velocity is the slope!

Displacement vs. Time graph What is the velocity of the object from 7 seconds to 8 seconds?  Once again...find the slope! A velocity of 0 m/s. What does this mean? It is simple....the object has simply stopped moving for 1 second.

Displacement vs. Time graph What is the velocity from 8-10 seconds? You must remember! To find the change it is final - initial. The answer is negative! It is no surprise, because the slope is considered to be negative. This value could mean several things: The object could be traveling WEST or SOUTH. The object is going backwards - this being the more likely choice! You should also understand that the slope does NOT change from 0-3s , 5 to 7s and 8- 10s. This means that the object has a CONSTANT VELOCITY or IT IS NOT ACCELERATING.

Example It is very important that you are able to look at a graph and explain it's motion in great detail. These graphs can be very conceptual. Look at the time interval t = 0 to t = 9 seconds. What does the slope do? It increases, the velocity is increasing Look at the time interval t = 9 to t = 11 seconds. What does the slope do? No slope. The velocity is ZERO. Look at the time interval t = 11 to t = 15 seconds. What does the slope do? The slope is constant and positive. The object is moving forwards at a constant velocity. Look at the time interval t = 15 to t = 17 seconds. What does the slope do? The slope is constant and negative. The object is moving backwards at a constant velocity.

Slope – A basic graph model Let’s look at another model Who gets to play the role of the slope? Who gets to play the role of the y-axis or the rise? Who get to play the role of the x-axis or the run?  What does all the mean? It means that if your are given a Velocity vs. Time graph. To find the acceleration of an object during specific time intervals simply find the slope. Acceleration Velocity Time

Velocity vs. Time Graph What is the acceleration from 0 to 6s? You could say one of two things here: The object has a ZERO acceleration The object has a CONSTANT velocity What is the acceleration from 14 to 15s? A negative acceleration is sometimes called DECELERATION. In other words, the object is slowing down. An object can also have a negative acceleration if it is falling. In that case the object is speeding up. CONFUSING? Be careful and make sure you understand WHY the negative sign is there.

Velocity vs. Time Graph Conceptually speaking, what is the object doing during the time interval t = 9 to t = 13 seconds? Does the steepness or slope increase or decrease? The slope INCREASES! According to the graph the slope gets steeper or increases, but in a negative direction. What this means is that the velocity slows down with a greater change each second. The deceleration, in this case, get larger even though the velocity decreases. The velocity goes from 60 to 55 ( a change of 5), then from 55 to 45 ( a change of 10), then from 45 to 30 ( a change of 15), then from 30 to 10 ( a change of 20). Do you see how the change gets LARGER as the velocity gets SMALLER?

Area – the “other” basic graph model Another basic model for understanding graphs in physics is AREA. Let's try to algebraically make our formulas look like the one above. We'll start with our formula for velocity. Who gets to play the role of the base?  Who gets to play the role of the height? What kind of graph is this? Time Velocity Who gets to play the role of the Area? A Velocity vs. Time graph  ( velocity = y-axis & time = x-axis) Displacement

Example What is the displacement during the time interval t = 0 to t = 5 seconds? That happens to be the area! What is the displacement during the time interval t = 8 to t = 12 seconds? Once again...we have to find the area. During this time period we have a triangle AND a square. We must find the area of each section then ADD them together.

Area – the “other” basic graph model Let's use our  new model again, but for our equation for acceleration. What does this mean? Who gets to play the role of the base? Who gets to play the role of the height? What kind of graph is this? Who gets to play the role of the Area? Time Acceleration An Acceleration vs. Time graph  ( acceleration = y-axis & time = x-axis) The Velocity

Acceleration vs. Time Graph What is the velocity during the time interval t = 3 and t = 6 seconds? Find the Area!

Summary There are 3 types of MOTION graphs Displacement(position) vs. Time Velocity vs. Time Acceleration vs. Time There are 2 basic graph models Slope Area

Summary v (m/s) a (m/s/s) x (m) t (s) t (s) t (s) slope = v slope = a area = v area = x t (s) t (s) t (s)

Comparing and Sketching graphs One of the more difficult applications of graphs in physics is when given a certain type of graph and asked to draw a different type of graph List 2 adjectives to describe the SLOPE or VELOCITY The slope is CONSTANT x (m) slope = v The slope is POSITIVE t (s) v (m/s) How could you translate what the SLOPE is doing on the graph ABOVE to the Y axis on the graph to the right? t (s)

Example v (m/s) x (m) 1st line 2nd line 3rd line t (s) t (s) The slope is constant The slope is “0” The slope is “-” 3rd line The slope is “+” The slope is constant

Example – Graph Matching What is the SLOPE(a) doing? a (m/s/s) The slope is increasing v (m/s) t (s) a (m/s/s) t (s) a (m/s/s) t (s) t (s)