Chapter 2 One-Dimensional Kinematics. Copyright 2010 Pearson Education, Inc.
|
|
- Jack Alexander
- 6 years ago
- Views:
Transcription
1 Chapter 2 One-Dimensional Kinematics
2 Units of Chapter 2 Position, Distance, and Displacement Average Speed and Velocity Instantaneous Velocity Acceleration Motion with Constant Acceleration Applications of the Equations of Motion Freely Falling Objects
3 2-1 Position, Distance, and Displacement Before describing motion, you must set up a coordinate system define an origin and a positive direction.
4 2-1 Position, Distance, and Displacement The distance is the total length of travel; if you drive from your house to the grocery store and back, you have covered a distance of 8.6 mi.
5 2-1 Position, Distance, and Displacement Displacement is the change in position. If you drive from your house to the grocery store and then to your friend s house, your displacement is 2.1 mi and the distance you have traveled is 10.7 mi.
6 2-2 Average Speed and Velocity The average speed is defined as the distance traveled divided by the time the trip took: Average speed = distance / elapsed time Is the average speed of the red car 40.0 mi/h, more than 40.0 mi/h, or less than 40.0 mi/h?
7 2-2 Average Speed and Velocity Average velocity = displacement / elapsed time If you return to your starting point, your average velocity is zero.
8 2-2 Average Speed and Velocity Graphical Interpretation of Average Velocity The same motion, plotted one-dimensionally and as an x-t graph:
9 2-3 Instantaneous Velocity Definition: (2-4) This means that we evaluate the average velocity over a shorter and shorter period of time; as that time becomes infinitesimally small, we have the instantaneous velocity.
10 2-3 Instantaneous Velocity This plot shows the average velocity being measured over shorter and shorter intervals. The instantaneous velocity is tangent to the curve.
11 2-3 Instantaneous Velocity Graphical Interpretation of Average and Instantaneous Velocity
12 2-4 Acceleration Average acceleration: (2-5)
13 2-4 Acceleration Graphical Interpretation of Average and Instantaneous Acceleration:
14 2-4 Acceleration Acceleration (increasing speed) and deceleration (decreasing speed) should not be confused with the directions of velocity and acceleration:
15 2-5 Motion with Constant Acceleration If the acceleration is constant, the velocity changes linearly: Average velocity: (2-7)
16 2-5 Motion with Constant Acceleration Average velocity: (2-9) Position as a function of time: (2-10) (2-11) Velocity as a function of position: (2-12)
17 2-5 Motion with Constant Acceleration The relationship between position and time follows a characteristic curve.
18 2-5 Motion with Constant Acceleration
19 2-6 Applications of the Equations of Motion Hit the Brakes!
20 2-7 Freely Falling Objects Free fall is the motion of an object subject only to the influence of gravity. The acceleration due to gravity is a constant, g.
21 2-7 Freely Falling Objects An object falling in air is subject to air resistance (and therefore is not freely falling).
22 2-7 Freely Falling Objects Free fall from rest:
23 Summary of Chapter 2 Distance: total length of travel Displacement: change in position Average speed: distance / time Average velocity: displacement / time Instantaneous velocity: average velocity measured over an infinitesimally small time
24 Summary of Chapter 2 Instantaneous acceleration: average acceleration measured over an infinitesimally small time Average acceleration: change in velocity divided by change in time Deceleration: velocity and acceleration have opposite signs Constant acceleration: equations of motion relate position, velocity, acceleration, and time Freely falling objects: constant acceleration g = 9.81 m/s 2
25 Chapter 4 Two-Dimensional Kinematics
26 Units of Chapter 4 Motion in Two Dimensions Projectile Motion: Basic Equations Zero Launch Angle General Launch Angle Projectile Motion: Key Characteristics
27 4-1 Motion in Two Dimensions If velocity is constant, motion is along a straight line:
28 4-1 Motion in Two Dimensions Motion in the x- and y-directions should be solved separately:
29
30
31 4-2 Projectile Motion: Basic Equations Assumptions: ignore air resistance g = 9.81 m/s 2, downward ignore Earth s rotation If y-axis points upward, acceleration in x-direction is zero and acceleration in y-direction is m/s 2
32 4-2 Projectile Motion: Basic Equations The acceleration is independent of the direction of the velocity:
33 4-2 Projectile Motion: Basic Equations These, then, are the basic equations of projectile motion:
34
35
36 4-3 Zero Launch Angle Launch angle: direction of initial velocity with respect to horizontal
37 4-3 Zero Launch Angle In this case, the initial velocity in the y-direction is zero. Here are the equations of motion, with x 0 = 0 and y 0 = h:
38 4-3 Zero Launch Angle This is the trajectory of a projectile launched horizontally:
39 4-3 Zero Launch Angle Eliminating t and solving for y as a function of x: This has the form y = a + bx 2, which is the equation of a parabola. The landing point can be found by setting y = 0 and solving for x:
40
41
42 4-4 General Launch Angle In general, v 0x = v 0 cos θ and v 0y = v 0 sin θ This gives the equations of motion:
43 Solution page 91
44 4-4 General Launch Angle Snapshots of a trajectory; red dots are at t = 1 s, t = 2 s, and t = 3 s
45 4-5 Projectile Motion: Key Characteristics Range: the horizontal distance a projectile travels If the initial and final elevation are the same:
46 4-5 Projectile Motion: Key Characteristics The range is a maximum when θ = 45 :
47 4-5 Projectile Motion: Key Characteristics Symmetry in projectile motion:
48 Summary of Chapter 4 Components of motion in the x- and y- directions can be treated independently In projectile motion, the acceleration is g If the launch angle is zero, the initial velocity has only an x-component The path followed by a projectile is a parabola The range is the horizontal distance the projectile travels
Chapter 2. Motion along a straight line
Chapter 2 Motion along a straight line Motion We find moving objects all around us. The study of motion is called kinematics. Examples: The Earth orbits around the Sun A roadway moves with Earth s rotation
More informationONE-DIMENSIONAL KINEMATICS
ONE-DIMENSIONAL KINEMATICS Chapter 2 Units of Chapter 2 Position, Distance, and Displacement Average Speed and Velocity Instantaneous Velocity Acceleration Motion with Constant Acceleration Applications
More informationChapter 2 One-Dimensional Kinematics. Copyright 2010 Pearson Education, Inc.
Chapter One-Dimensional Kinematics Units of Chapter Position, Distance, and Displacement Average Speed and Velocity Instantaneous Velocity Acceleration Motion with Constant Acceleration Applications of
More informationChapter 2. Motion along a straight line
Chapter 2 Motion along a straight line 2.2 Motion We find moving objects all around us. The study of motion is called kinematics. Examples: The Earth orbits around the Sun A roadway moves with Earth s
More informationChapter 2 1D KINEMATICS
Chapter 2 1D KINEMATICS The motion of an American kestrel through the air can be described by the bird s displacement, speed, velocity, and acceleration. When it flies in a straight line without any change
More informationChapter 4 Two-Dimensional Kinematics. Copyright 2010 Pearson Education, Inc.
Chapter 4 Two-Dimensional Kinematics Units of Chapter 4 Motion in Two Dimensions Projectile Motion: Basic Equations Zero Launch Angle General Launch Angle Projectile Motion: Key Characteristics 4-1 Motion
More informationGeneral Physics (PHY 170) Chap 2. Acceleration motion with constant acceleration. Tuesday, January 15, 13
General Physics (PHY 170) Chap 2 Acceleration motion with constant acceleration 1 Average Acceleration Changing velocity (non-uniform) means an acceleration is present Average acceleration is the rate
More informationDemo: x-t, v-t and a-t of a falling basket ball.
Demo: x-t, v-t and a-t of a falling basket ball. I-clicker question 3-1: A particle moves with the position-versus-time graph shown. Which graph best illustrates the velocity of the particle as a function
More informationChapter 2 Describing Motion: Kinematics in One Dimension
Chapter 2 Describing Motion: Kinematics in One Dimension Units of Chapter 2 Reference Frames and Displacement Average Velocity Instantaneous Velocity Acceleration Motion at Constant Acceleration Solving
More informationChapter 2: Kinematics
Section 1 Chapter 2: Kinematics To simplify the concept of motion, we will first consider motion that takes place in one direction. To measure motion, you must choose a frame of reference. Frame of reference
More informationChapter 3 Kinematics in Two Dimensions; Vectors
Chapter 3 Kinematics in Two Dimensions; Vectors Vectors and Scalars Addition of Vectors Graphical Methods (One and Two- Dimension) Multiplication of a Vector by a Scalar Subtraction of Vectors Graphical
More informationPhysics Mechanics. Lecture 8 2D Motion Basics
Physics 170 - Mechanics Lecture 8 2D Motion Basics Two-Dimensional Kinematics Motion in Two Dimensions Motion in the x- and y-directions should be solved separately: Constant Velocity If velocity is constant,
More information12/06/2010. Chapter 2 Describing Motion: Kinematics in One Dimension. 2-1 Reference Frames and Displacement. 2-1 Reference Frames and Displacement
Chapter 2 Describing Motion: Kinematics in One Dimension 2-1 Reference Frames and Displacement Any measurement of position, distance, or speed must be made with respect to a reference frame. For example,
More informationVeronika Kollár PreMed course
Veronika Kollár PreMed course 30.07.013. The slope of a line y y y b y 1 x x 1 x The general equation of the line: f (x) = y = m x + b Where: b: intersection on the y axis m: the slope of the line x Intersection
More informationChapter 3 Acceleration
Chapter 3 Acceleration Slide 3-1 Chapter 3: Acceleration Chapter Goal: To extend the description of motion in one dimension to include changes in velocity. This type of motion is called acceleration. Slide
More informationChapter 2. Kinematics in One Dimension. continued
Chapter 2 Kinematics in One Dimension continued 2.6 Freely Falling Bodies Example 10 A Falling Stone A stone is dropped from the top of a tall building. After 3.00s of free fall, what is the displacement
More information1. A sphere with a radius of 1.7 cm has a volume of: A) m 3 B) m 3 C) m 3 D) 0.11 m 3 E) 21 m 3
1. A sphere with a radius of 1.7 cm has a volume of: A) 2.1 10 5 m 3 B) 9.1 10 4 m 3 C) 3.6 10 3 m 3 D) 0.11 m 3 E) 21 m 3 2. A 25-N crate slides down a frictionless incline that is 25 above the horizontal.
More informationLecture Notes Kinematics Recap 2.4 Acceleration
Lecture Notes 2.5-2.9 Kinematics Recap 2.4 Acceleration Acceleration is the rate at which velocity changes. The SI unit for acceleration is m/s 2 Acceleration is a vector, and thus has both a magnitude
More informationAP Physics C: Mechanics Ch. 2 Motion. SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Name: Period: Date: AP Physics C: Mechanics Ch. Motion SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. ) Car A is traveling at twice the speed of car
More information2. KINEMATICS. By Liew Sau Poh
2. KINEMATICS By Liew Sau Poh 1 OBJECTIVES 2.1 Linear motion 2.2 Projectiles 2.3 Free falls and air resistance 2 OUTCOMES Derive and use equations of motion with constant acceleration Sketch and use the
More informationVectors. Coordinates & Vectors. Chapter 2 One-Dimensional Kinematics. Chapter 2 One-Dimensional Kinematics
Chapter 2 One-Dimensional Kinematics Chapter 2 One-Dimensional Kinematics James Walker, Physics, 2 nd Ed. Prentice Hall One dimensional kinematics refers to motion along a straight line. Even though we
More informationBreak problems down into 1-d components
Motion in 2-d Up until now, we have only been dealing with motion in one-dimension. However, now we have the tools in place to deal with motion in multiple dimensions. We have seen how vectors can be broken
More informationLecture PowerPoints. Chapter 2 Physics for Scientists and Engineers, with Modern Physics, 4 th Edition Giancoli
Lecture PowerPoints Chapter 2 Physics for Scientists and Engineers, with Modern Physics, 4 th Edition Giancoli 2009 Pearson Education, Inc. This work is protected by United States copyright laws and is
More informationChapter 8 : Motion. KEY CONCEPTS [ *rating as per the significance of concept ]
Chapter 8 : Motion KEY CONCEPTS [ *rating as per the significance of concept ] 1 Motion **** 2 Graphical Representation of Motion *** & Graphs 3 Equation of motion **** 4 Uniform Circular Motion ** 1 Motion
More informationCHAPTER 2: Describing Motion: Kinematics in One Dimension
CHAPTER : Describing Motion: Kinematics in One Dimension Answers to Questions 1. A car speedometer measures only speed. It does not give any information about the direction, and so does not measure velocity..
More information3 Vectors and Two- Dimensional Motion
May 25, 1998 3 Vectors and Two- Dimensional Motion Kinematics of a Particle Moving in a Plane Motion in two dimensions is easily comprehended if one thinks of the motion as being made up of two independent
More informationKinematics in Two Dimensions; Vectors
Kinematics in Two Dimensions; Vectors Vectors & Scalars!! Scalars They are specified only by a number and units and have no direction associated with them, such as time, mass, and temperature.!! Vectors
More informationKINETICS: MOTION ON A STRAIGHT LINE. VELOCITY, ACCELERATION. FREELY FALLING BODIES
014.08.06. KINETICS: MOTION ON A STRAIGHT LINE. VELOCITY, ACCELERATION. FREELY FALLING BODIES www.biofizika.aok.pte.hu Premedical course 04.08.014. Fluids Kinematics Dynamics MECHANICS Velocity and acceleration
More informationacceleration versus time. LO Determine a particle s change in position by graphical integration on a graph of velocity versus time.
Chapter: Chapter 2 Learning Objectives LO 2.1.0 Solve problems related to position, displacement, and average velocity to solve problems. LO 2.1.1 Identify that if all parts of an object move in the same
More informationWhat is a Vector? A vector is a mathematical object which describes magnitude and direction
What is a Vector? A vector is a mathematical object which describes magnitude and direction We frequently use vectors when solving problems in Physics Example: Change in position (displacement) Velocity
More informationINTRODUCTION. 3. Two-Dimensional Kinematics
INTRODUCTION We now extend our study of kinematics to motion in two dimensions (x and y axes) This will help in the study of such phenomena as projectile motion Projectile motion is the study of objects
More informationSome Motion Terms. Distance & Displacement Velocity & Speed Acceleration Uniform motion Scalar.vs. vector
Motion Some Motion Terms Distance & Displacement Velocity & Speed Acceleration Uniform motion Scalar.vs. vector Scalar versus Vector Scalar - magnitude only (e.g. volume, mass, time) Vector - magnitude
More informationLecture 2. 1D motion with Constant Acceleration. Vertical Motion.
Lecture 2 1D motion with Constant Acceleration. Vertical Motion. Types of motion Trajectory is the line drawn to track the position of an abject in coordinates space (no time axis). y 1D motion: Trajectory
More information3.2 Projectile Motion
Motion in 2-D: Last class we were analyzing the distance in two-dimensional motion and revisited the concept of vectors, and unit-vector notation. We had our receiver run up the field then slant Northwest.
More informationChapter 1 Problem 28: Agenda. Quantities in Motion. Displacement Isn t Distance. Velocity. Speed 1/23/14
Agenda We need a note-taker! If you re interested, see me after class. Today: HW Quiz #1, 1D Motion Lecture for this week: Chapter 2 (finish reading Chapter 2 by Thursday) Homework #2: continue to check
More information9/7/2017. Week 2 Recitation: Chapter 2: Problems 5, 19, 25, 29, 33, 39, 49, 58.
9/7/7 Week Recitation: Chapter : Problems 5, 9, 5, 9, 33, 39, 49, 58. 5. The data in the following table describe the initial and final positions of a moving car. The elapsed time for each of the three
More informationChapter 2. Motion in One Dimension
Chapter 2 Motion in One Dimension Types of Motion Translational An example is a car traveling on a highway. Rotational An example is the Earth s spin on its axis. Vibrational An example is the back-and-forth
More informationChapter 4. Two-Dimensional Motion
Chapter 4. Two-Dimensional Motion 09/1/003 I. Intuitive (Understanding) Review Problems. 1. If a car (object, body, truck) moves with positive velocity and negative acceleration, it means that its a) speed
More informationv t 2 2t 8. Fig. 7 (i) Write down the velocity of the insect when t 0. (ii) Show that the insect is instantaneously at rest when t 2and when t 4.
1 Fig. 7 is a sketch of part of the velocity-time graph for the motion of an insect walking in a straight line. Its velocity, v ms 1, at time t seconds for the time interval 3 t 5 is given by v ms -1 v
More informationMotion Along a Straight Line
PHYS 101 Previous Exam Problems CHAPTER Motion Along a Straight Line Position & displacement Average & instantaneous velocity Average & instantaneous acceleration Constant acceleration Free fall Graphical
More informationChapter 3 Kinematics in Two Dimensions; Vectors
Chapter 3 Kinematics in Two Dimensions; Vectors Vectors and Scalars Addition of Vectors Graphical Methods (One and Two- Dimension) Multiplication of a Vector by a Scalar Subtraction of Vectors Graphical
More information5) A stone is thrown straight up. What is its acceleration on the way up? 6) A stone is thrown straight up. What is its acceleration on the way down?
5) A stone is thrown straight up. What is its acceleration on the way up? Answer: 9.8 m/s 2 downward 6) A stone is thrown straight up. What is its acceleration on the way down? Answer: 9.8 m/ s 2 downward
More informationb) (6) How far down the road did the car travel during the acceleration?
General Physics I Quiz 2 - Ch. 2-1D Kinematics June 17, 2009 Name: For full credit, make your work clear to the grader. Show the formulas you use, all the essential steps, and results with correct units
More informationINTRODUCTION. 1. One-Dimensional Kinematics
INTRODUCTION Mechanics is the area of physics most apparent to us in our everyday lives Raising an arm, standing up, sitting down, throwing a ball, opening a door etc all governed by laws of mechanics
More informationChapter 3 Lecture. Pearson Physics. Acceleration and Accelerated Motion. Prepared by Chris Chiaverina Pearson Education, Inc.
Chapter 3 Lecture Pearson Physics Acceleration and Accelerated Motion Prepared by Chris Chiaverina Chapter Contents Acceleration Motion with Constant Acceleration Position-Time Graphs with Constant Acceleration
More informationPlanar Motion with Constant Acceleration
Planar Motion with Constant Acceleration 1. If the acceleration vector of an object is perpendicular to its velocity vector, which of the following must be true? (a) The speed is changing. (b) The direction
More informationChapter 3 Acceleration
Chapter 3 Acceleration Slide 3-1 Chapter 3: Acceleration Chapter Goal: To extend the description of motion in one dimension to include changes in velocity. This type of motion is called acceleration. Slide
More informationProjectile Motion. Chin- Sung Lin STEM GARAGE SCIENCE PHYSICS
Projectile Motion Chin- Sung Lin Introduction to Projectile Motion q What is Projectile Motion? q Trajectory of a Projectile q Calculation of Projectile Motion Introduction to Projectile Motion q What
More informationLecture 2. 1D motion with Constant Acceleration. Vertical Motion.
Lecture 2 1D motion with Constant Acceleration. Vertical Motion. Types of motion Trajectory is the line drawn to track the position of an abject in coordinates space (no time axis). y 1D motion: Trajectory
More informationChapter 3 Acceleration
Chapter 3 Acceleration Slide 3-1 PackBack The first answer gives a good physical picture. The video was nice, and worth the second answer. https://www.youtube.com/w atch?v=m57cimnj7fc Slide 3-2 Slide 3-3
More informationSection 2-2: Constant velocity means moving at a steady speed in the same direction
Section 2-2: Constant velocity means moving at a steady speed in the same direction 1. A particle moves from x 1 = 30 cm to x 2 = 40 cm. The displacement of this particle is A. 30 cm B. 40 cm C. 70 cm
More informationFormative Assessment: Uniform Acceleration
Formative Assessment: Uniform Acceleration Name 1) A truck on a straight road starts from rest and accelerates at 3.0 m/s 2 until it reaches a speed of 24 m/s. Then the truck travels for 20 s at constant
More informationIntroduction to 2-Dimensional Motion
Introduction to 2-Dimensional Motion 2-Dimensional Motion! Definition: motion that occurs with both x and y components.! Example:! Playing pool.! Throwing a ball to another person.! Each dimension of the
More informationProjectile motion. Objectives. Assessment. Assessment. Equations. Physics terms 5/20/14. Identify examples of projectile motion.
Projectile motion Objectives Identify examples of projectile motion. Solve projectile motion problems. problems Graph the motion of a projectile. 1. Which of the events described below cannot be an example
More informationTrigonometry I. Pythagorean theorem: WEST VIRGINIA UNIVERSITY Physics
Trigonometry I Pythagorean theorem: Trigonometry II 90 180 270 360 450 540 630 720 sin(x) and cos(x) are mathematical functions that describe oscillations. This will be important later, when we talk about
More informationUnit 1 Test Review Physics Basics, Movement, and Vectors Chapters 2-3
A.P. Physics B Unit 1 Test Review Physics Basics, Movement, and Vectors Chapters - 3 * In studying for your test, make sure to study this review sheet along with your quizzes and homework assignments.
More informationChapter 3. Motion in One Dimension
Chapter 3 Motion in One Dimension Outline 3.1 Position, Velocity and Speed 3.2 Instantaneous Velocity and Speed 3.3 Acceleration 3.4 Motion Diagrams 3.5 One-Dimensional Motion with Constant Acceleration
More informationChapter 2. Kinematic Equations. Problem 1. Kinematic Equations, specific. Motion in One Dimension
Kinematic Equations Chapter Motion in One Dimension The kinematic equations may be used to solve any problem involving one-dimensional motion with a constant You may need to use two of the equations to
More informationAnnouncement. Quiz on Friday (Graphing and Projectile Motion) No HW due Wednesday
Going over HW3.05 Announcement Quiz on Friday (Graphing and Projectile Motion) No HW due Wednesday As the red ball rolls off the edge, a green ball is dropped from rest from the same height at the same
More informationSummary of motion graphs Object is moving to the right (in positive direction) v = 0 a = 0
Summary of motion graphs Object is moving to the right (in positive direction) Object at rest (not moving) Position is constant v (m/s) a (m/s 2 ) v = 0 a = 0 Constant velocity Position increases at constant
More informationChapter 4. Motion in Two Dimensions. Position and Displacement. General Motion Ideas. Motion in Two Dimensions
Motion in Two Dimensions Chapter 4 Motion in Two Dimensions Using + or signs is not always sufficient to fully describe motion in more than one dimension Vectors can be used to more fully describe motion
More informationIntroduction to 1-D Motion Distance versus Displacement
Introduction to 1-D Motion Distance versus Displacement Kinematics! Kinematics is the branch of mechanics that describes the motion of objects without necessarily discussing what causes the motion.! 1-Dimensional
More informationVocabulary Preview. Oct 21 9:53 AM. Projectile Motion. An object shot through the air is called a projectile.
Projectile Trajectory Range Launch angle Vocabulary Preview Projectile Motion Projectile Motion An object shot through the air is called a projectile. A projectile can be a football, a bullet, or a drop
More informationPH Fall - Section 04 - Version A DRAFT
1. A truck (traveling in a straight line), starts from rest and accelerates to 30 m/s in 20 seconds. It cruises along at that constant speed for one minute, then brakes, coming to a stop in 25 m. Determine
More informationISSUED BY K V - DOWNLOADED FROM KINEMATICS
KINEMATICS *rest and Motion are relative terms, nobody can exist in a state of absolute rest or of absolute motion. *One dimensional motion:- The motion of an object is said to be one dimensional motion
More informationKinematics. Chapter 2. Position-Time Graph. Position
Kinematics Chapter 2 Motion in One Dimension Describes motion while ignoring the agents that caused the motion For now, will consider motion in one dimension Along a straight line Will use the particle
More informationLook over: Chapter 2 Sections 1-9 Sample Problems 1, 2, 5, 7. Look over: Chapter 2 Sections 1-7 Examples 2, 3, 4, 5, 6, 7, 8, 9, 10, 11 PHYS 2211
PHYS 2211 Look over: Chapter 2 Sections 1-9 Sample Problems 1, 2, 5, 7 PHYS 1111 Look over: Chapter 2 Sections 1-7 Examples 2, 3, 4, 5, 6, 7, 8, 9, 10, 11 Topics Covered 1) Average Speed 2) Average Velocity
More informationChapter 2 Test Item File
Chapter 2 Test Item File Chapter 2: Describing Motion: Kinetics in One Dimension 1. What must be your average speed in order to travel 350 km in 5.15 h? a) 66.0 km/h b) 67.0 km/h c) 68.0 km/h d) 69.0 km/h
More informationPhysics Chapter 3 Notes. Section 3-1: Introduction to Vectors (pages 80-83)
Physics Chapter 3 Notes Section 3-1: Introduction to Vectors (pages 80-83) We can use vectors to indicate both the magnitude of a quantity, and the direction. Vectors are often used in 2- dimensional problems.
More informationUnit 1: Mechanical Equilibrium
Unit 1: Mechanical Equilibrium Chapter: Two Mechanical Equilibrium Big Idea / Key Concepts Student Outcomes 2.1: Force 2.2: Mechanical Equilibrium 2.3: Support Force 2.4: Equilibrium for Moving Objects
More informationChapter 2. Motion in One Dimension. Professor Wa el Salah
Chapter 2 Motion in One Dimension Kinematics Describes motion while ignoring the external agents that might have caused or modified the motion For now, will consider motion in one dimension Along a straight
More informationx i = x * means change in so x = change in x Speed and Velocity distance travelled speed= elapsed time average velocity v av
Motion in 1 Dimension Kinematics: the study of motion Position, Distance and Displacement Needed: 1 coordinate system ( position is relative ) often chosen with a convenient origin Distance = total length
More information1.1 Graphing Motion. IB Physics 11 Kinematics
IB Physics 11 Kinematics 1.1 Graphing Motion Kinematics is the study of motion without reference to forces and masses. We will need to learn some definitions: A Scalar quantity is a measurement that has
More informationF13--HPhys--Q4 Practice POST
Name: Class: Date: ID: A F13--HPhys--Q4 Practice POST Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Which of the following is not an example of projectile
More informationLecture PowerPoints. Chapter 2 Physics: Principles with Applications, 7 th edition Giancoli
Lecture PowerPoints Chapter 2 Physics: Principles with Applications, 7 th edition Giancoli This work is protected by United States copyright laws and is provided solely for the use of instructors in teaching
More informationChapter 4. Motion in two and three dimensions
Chapter 4 Motion in two and three dimensions 4.2 Position and Displacement r =(x, y, z) =x î+y ĵ+z ˆk This vector is a function of time, describing the motion of the particle: r (t) =(x(t),y(t),z(t)) The
More informationProjectile Motion B D B D A E A E
Projectile Motion Projectile motion is motion under a constant unbalanced force. A projectile is a body that has been thrown or projected. No consideration is given to the force projecting the body, nor
More informationAP Physics C: One Dimensional Kinematics
Slide 1 / 33 P Physics : One imensional Kinematics Multiple hoice Questions Slide 2 / 33 1 In the absence of air resistance, a ball dropped near the surface of the arth experiences a constant acceleration
More information1 D motion: know your variables, position, displacement, velocity, speed acceleration, average and instantaneous.
General: Typically, there will be multiple choice, short answer, and big problems. Multiple Choice and Short Answer On the multiple choice and short answer, explanations are typically not required (only
More informationProgressive Science Initiative. Click to go to website:
Slide 1 / 246 New Jersey Center for Teaching and Learning Progressive Science Initiative This material is made freely available at www.njctl.org and is intended for the non-commercial use of students and
More informationMOTION ALONG A STRAIGHT LINE
MOTION ALONG A STRAIGHT LINE 2 21 IDENTIFY: The average velocity is Let be upward EXECUTE: (a) EVALUATE: For the first 115 s of the flight, When the velocity isn t constant the average velocity depends
More informationUAM Paradigm Lab. Uniform Acceleration Background. X-t graph. V-t graph now. What about displacement? *Displacement method 2 9/18/2017
9/8/07 UAM Paradigm Lab Uniform Acceleration Background Wheel down a rail Observations Dots got further apart as the wheel rolled down rail This means the change in position increased over time X-t graph
More informationPhysics 11 Chapter 3: Kinematics in Two Dimensions. Problem Solving
Physics 11 Chapter 3: Kinematics in Two Dimensions The only thing in life that is achieved without effort is failure. Source unknown "We are what we repeatedly do. Excellence, therefore, is not an act,
More informationHW Chapter 3 Q 14,15 P 2,7,812,18,24,25. Chapter 3. Motion in the Universe. Dr. Armen Kocharian
HW Chapter 3 Q 14,15 P 2,7,812,18,24,25 Chapter 3 Motion in the Universe Dr. Armen Kocharian Predictability The universe is predictable and quantifiable Motion of planets and stars description of motion
More informationDisplacement, Velocity, and Acceleration AP style
Displacement, Velocity, and Acceleration AP style Linear Motion Position- the location of an object relative to a reference point. IF the position is one-dimension only, we often use the letter x to represent
More information(a) On the diagram above, draw an arrow showing the direction of velocity of the projectile at point A.
QUESTION 1 The path of a projectile in a uniform gravitational field is shown in the diagram below. When the projectile reaches its maximum height, at point A, its speed v is 8.0 m s -1. Assume g = 10
More informationMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Optional Problems for Quiz 2 Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 1) The components of vectors B and C are given as follows: 1) Bx
More information3.4 Projectile Motion
3.4 Projectile Motion Projectile Motion A projectile is anything launched, shot or thrown---i.e. not self-propelled. Examples: a golf ball as it flies through the air, a kicked soccer ball, a thrown football,
More informationConstants: Acceleration due to gravity = 9.81 m/s 2
Constants: Acceleration due to gravity = 9.81 m/s 2 PROBLEMS: 1. In an experiment, it is found that the time t required for an object to travel a distance x is given by the equation = where is the acceleration
More informationConstants: Acceleration due to gravity = 9.81 m/s 2
Constants: Acceleration due to gravity = 9.81 m/s 2 PROBLEMS: 1. In an experiment, it is found that the time t required for an object to travel a distance x is given by the equation = where is the acceleration
More information8.01x Classical Mechanics, Fall 2016 Massachusetts Institute of Technology. Problem Set 1
8.01x Classical Mechanics, Fall 2016 Massachusetts Institute of Technology 1. Car and Bicycle Rider Problem Set 1 A car is driving along a straight line with a speed v 0. At time t = 0 the car is at the
More information1. (P2.1A) The picture below shows a ball rolling along a table at 1 second time intervals. What is the object s average velocity after 6 seconds?
PHYSICS FINAL EXAM REVIEW FIRST SEMESTER (01/2017) UNIT 1 Motion P2.1 A Calculate the average speed of an object using the change of position and elapsed time. P2.1B Represent the velocities for linear
More informationChapter 2 Describing Motion: Kinematics in One Dimension
Chapter 2 Describing Motion: Kinematics in One Dimension 2-1 Reference Frames and Displacement Any measurement of position, distance, or speed must be made with respect to a reference frame. For example,
More informationChapter 2. Motion In One Dimension
I. Displacement, Position, and Distance Chapter 2. Motion In One Dimension 1. John (Mike, Fred, Joe, Tom, Derek, Dan, James) walks (jogs, runs, drives) 10 m north. After that he turns around and walks
More informationCreated by T. Madas CALCULUS KINEMATICS. Created by T. Madas
CALCULUS KINEMATICS CALCULUS KINEMATICS IN SCALAR FORM Question (**) A particle P is moving on the x axis and its acceleration a ms, t seconds after a given instant, is given by a = 6t 8, t 0. The particle
More informationAdding Vectors in Two Dimensions
Slide 37 / 125 Adding Vectors in Two Dimensions Return to Table of Contents Last year, we learned how to add vectors along a single axis. The example we used was for adding two displacements. Slide 38
More informationTopic 2 Revision questions Paper
Topic 2 Revision questions Paper 1 3.1.2018 1. [1 mark] The graph shows the variation of the acceleration a of an object with time t. What is the change in speed of the object shown by the graph? A. 0.5
More informationChapter 3 Kinematics in Two Dimensions; Vectors
Chapter 3 Kinematics in Two Dimensions; Vectors Vectors and Scalars Units of Chapter 3 Addition of Vectors Graphical Methods Subtraction of Vectors, and Multiplication of a Vector by a Scalar Adding Vectors
More informationKinematics. Vector solutions. Vectors
Kinematics Study of motion Accelerated vs unaccelerated motion Translational vs Rotational motion Vector solutions required for problems of 2- directional motion Vector solutions Possible solution sets
More informationLecture PowerPoints. Chapter 3 Physics for Scientists & Engineers, with Modern Physics, 4 th edition Giancoli
Lecture PowerPoints Chapter 3 Physics for Scientists & Engineers, with Modern Physics, 4 th edition Giancoli 2009 Pearson Education, Inc. This work is protected by United States copyright laws and is provided
More information