2D Kinematics. Note not covering scalar product or vector product right now we will need it for material in Chap 7 and it will be covered then.
|
|
- Jayson Walsh
- 5 years ago
- Views:
Transcription
1 Announcements: 2D Kinematics CAPA due at 10pm tonight There will be the third CAPA assignment ready this evening. Chapter 3 on Vectors Note not covering scalar product or vector product right now we will need it for material in Chap 7 and it will be covered then. Web page: 1
2 Clicker question 1 Set frequency to BA Two stones are dropped into a bottomless pit, the second stone is dropped 2 seconds after the first stone. Assume no air resistance. As both stones fall, the difference in their velocities.. A: increases B: decreases C: remains constant A tough one! Both balls are dropped from y 0 =0, with v 0 =0, so we have v1= -g*t v2 = -g*(t-2). So the difference in velocities is just 2*g, a constant. That is, after 2 seconds, ball one is falling at -g*2 sec = -20 m/s, and from then on, they each gain the same amount of extra velocity (9.8 m/s) each second. They both speed up, but always the leading one is exactly 202 m/s faster.
3 Clicker question 2 Set frequency to BA As both stones fall, the difference in their heights (ypositions).. A: increases B: decreases C: remains constant Since the lower one is ALWAYS faster, it is constantly gaining on the other one! The difference in their heights increases! 3
4 Clicker question 3 Set frequency to BA Q. The solid line has length A and makes an angle θ with the negative y-axis. What is the length of the dotted line? A. A cosθ B. A sinθ C. A tanθ Hypotenuse D. sinθ/a E. cosθ/a Opposite A θ y Adjacent x Adjacent 4
5 Vector addition by components Split vectors into orthogonal components and add components individually. For and then 5
6 Vector addition by components (2) Use trigonometry to split vectors into orthogonal components if you are given magnitude and direction Draw quick diagram and determine angle but angles can be tricky Need to determine how measured angle relates to angle from +x axis. In this case C = (7.2,154 ) 6
7 Position and velocity vectors Position vector gives the distance and direction from the origin to the particle position y(cm) Can write in terms of components: x(cm) or 7
8 Velocity vectors Velocity is the change in position over change in time Average velocity: Instantaneous velocity: Often, motion along one axis is independent of motion along other axes (with proper coordinate choice) which allows us to separate the vector equation into components: 8
9 Position and velocity vectors A ball is moving across a level surface and its position vector is recorded at times 1,2,3,4 seconds. How can we find the average velocity between times 1 and 2? Average velocity is and so we need. Can calculate from vector addition. Same as vector connecting the two vector end points y(cm) x(cm) 9
10 Position and velocity vectors Note the average velocity is the same between any of the points. Appears the velocity is constant. Can measure to determine the average velocity y(cm) 5 5 x(cm) In this case we could redefine the coordinate system to get a 1D scenario with constant velocity 10
11 Acceleration vectors Velocity deals with the change of the position vector and acceleration deals with the change of the velocity vector. Average acceleration: Instantaneous acceleration: Again, with a proper coordinate choice the components separate so we end with the simplified result: 11
12 Linear acceleration: velocity magnitude changes but direction stays the same. Gravity is an example. y(cm) Acceleration vectors Centripetal acceleration: velocity magnitude constant but direction changes. Example: car rounding a corner at constant speed. y(cm) x(cm) x(cm) Generally, acceleration will be a combination of both 12
13 Clicker question 4 Set frequency to BA Q. A particle is moving at constant speed along the path shown. Its velocity vector at two different times is shown. What is X the direction of the acceleration when the particle is at point X? B it points in the same A D C (E) None of these direction as 13
14 Projectile motion This describes the motion of a body (bullet, basketball, motorcycle, etc.) in free fall after being launched. The only acceleration is due to gravity and is always straight down. Thus, the velocity in the horizontal direction is constant In the vertical direction there is acceleration from gravity 14
15 Clicker question 5 Set frequency to BA Q. A basketball is launched from a basketball cannon and follows the trajectory shown. What is the direction of the acceleration at point X? A E B D C X Once launched, the only acceleration is due to gravity and is straight down. The horizontal velocity is constant 15
16 Velocities in projectile motion Initial velocity in horizontal and vertical directions depends on angle α and speed v 0 of launch. and α Solving projectile motion problems Realize the horizontal and vertical motions are independent. Their only connection is through the time the projectile is in the air. 16
17 Solving a projectile motion problem A basketball launched on a level surface travels 15 m and reaches a maximum height of 6.4 m. What α is the initial velocity? 1. Draw a diagram 2. Figure out what we know 3. Figure out what we need: To get v 0x we need the flight time to use Can get v 0y from with y=y max and v y =0 Can now use to get t 17
Adding 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 informationThe centripetal acceleration for a particle moving in a circle is a c = v 2 /r, where v is its speed and r is its instantaneous radius of rotation.
skiladæmi 1 Due: 11:59pm on Wednesday, September 9, 2015 You will receive no credit for items you complete after the assignment is due. Grading Policy Problem 3.04 The horizontal coordinates of a in a
More informationCircular motion. Announcements:
Circular motion Announcements: Clicker scores through Wednesday are now posted on DL. Scoring is points for a wrong answer, 3 points for a right answer. 13 clicker questions so far, so max is 39 points.
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 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 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 informationChapter 2 One-Dimensional Kinematics. Copyright 2010 Pearson Education, Inc.
Chapter 2 One-Dimensional Kinematics Units of Chapter 2 Position, Distance, and Displacement Average Speed and Velocity Instantaneous Velocity Acceleration Motion with Constant Acceleration Applications
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 3. Kinematics in Two Dimensions
Chapter 3 Kinematics in Two Dimensions 3.1 Trigonometry 3.1 Trigonometry sin! = h o h cos! = h a h tan! = h o h a 3.1 Trigonometry tan! = h o h a tan50! = h o 67.2m h o = tan50! ( 67.2m) = 80.0m 3.1 Trigonometry!
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 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 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 informationphysics Chapter 4 Lecture a strategic approach randall d. knight FOR SCIENTISTS AND ENGINEERS Chapter 4_Lecture1 THIRD EDITION
Chapter 4 Lecture physics FOR SCIENTISTS AND ENGINEERS a strategic approach THIRD EDITION randall d. knight Chapter 4_Lecture1 1 Chapter 4 Kinematics in 2D: Projectile Motion (Sec. 4.2) Which fountain
More informationPHY 1114: Physics I. Quick Question 1. Quick Question 2. Quick Question 3. Quick Question 4. Lecture 5: Motion in 2D
PHY 1114: Physics I Lecture 5: Motion in D Fall 01 Kenny L. Tapp Quick Question 1 A child throws a ball vertically upward at the school playground. Which one of the following quantities is (are) equal
More informationNeed to have some new mathematical techniques to do this: however you may need to revise your basic trigonometry. Basic Trigonometry
Kinematics in Two Dimensions Kinematics in 2-dimensions. By the end of this you will 1. Remember your Trigonometry 2. Know how to handle vectors 3. be able to handle problems in 2-dimensions 4. understand
More informationTopic 1: 2D Motion PHYSICS 231
Topic 1: 2D Motion PHYSICS 231 Current Assignments Homework Set 1 due this Thursday, Jan 20, 11 pm Homework Set 2 due Thursday, Jan 27, 11pm Reading: Chapter 4,5 for next week 2/1/11 Physics 231 Spring
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 information2-D Kinematics. In general, we have the following 8 equations (4 per dimension): Notes Page 1 of 7
2-D Kinematics The problem we run into with 1-D kinematics, is that well it s one dimensional. We will now study kinematics in two dimensions. Obviously the real world happens in three dimensions, but
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 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 informationWrite these equations in your notes if they re not already there. You will want them for Exam 1 & the Final.
Tuesday January 24 Assignment 3: Due Friday, 11:59pm.like every Friday Pre-Class Assignment: 15min before class like every class Office Hours: Wed. 10-11am, 204 EAL Help Room: Wed. & Thurs. 6-9pm, here
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 informationTrigonometry Basics. Which side is opposite? It depends on the angle. θ 2. Y is opposite to θ 1 ; Y is adjacent to θ 2.
Trigonometry Basics Basic Terms θ (theta) variable for any angle. Hypotenuse longest side of a triangle. Opposite side opposite the angle (θ). Adjacent side next to the angle (θ). Which side is opposite?
More informationQuiz No. 1: Tuesday Jan. 31. Assignment No. 2, due Thursday Feb 2: Problems 8.4, 8.13, 3.10, 3.28 Conceptual questions: 8.1, 3.6, 3.12, 3.
Quiz No. 1: Tuesday Jan. 31 Assignment No. 2, due Thursday Feb 2: Problems 8.4, 8.13, 3.10, 3.28 Conceptual questions: 8.1, 3.6, 3.12, 3.20 Chapter 3 Vectors and Two-Dimensional Kinematics Properties of
More informationTest Wed, Feb 8 th 7pm, G20 MING HSIEH Bring your calculator and #2 pencil with a good eraser! 20 Multiple choice questions from:
Test Wed, Feb 8 th 7pm, G0 MING HSIEH Bring your calculator and # pencil with a good eraser! 0 Multiple choice questions from: Chapter 1 (except section 1. and 1.7): Unit conversions, estimating, trigonometry,
More informationChapter 3: Kinematics (2D) Part I
Chapter 3: Part I Recap: Kinematics (1D) 1. Vector Kinematics 2. Projectile Motion 3. Uniform Circular Motion 4. Relative Velocity Vector Kinematics One Set of 2-D 2 Kinematic Eqs.. for Motion of One Body
More informationPhysics 201, Lecture 8
Physics 01, Lecture 8 Today s Topics q Physics 01, Review 1 q Important Notes: v v v v This review is not designed to be complete on its own. It is not meant to replace your own preparation efforts Exercises
More informationUnit 1 Parent Guide: Kinematics
Unit 1 Parent Guide: Kinematics Kinematics is the study of the motion of objects. Scientists can represent this information in the following ways: written and verbal descriptions, mathematically (with
More informationChapter 3: Kinematics in Two Dimensions
Chapter 3: Kinematics in Two Dimensions Vectors and Scalars A scalar is a number with units. It can be positive, negative, or zero. Time: 100 s Distance and speed are scalars, although they cannot be negative
More informationMotion in Two or Three Dimensions
Chapter 3 Motion in Two or Three Dimensions PowerPoint Lectures for University Physics, Thirteenth Edition Hugh D. Young and Roger A. Freedman Lectures by Wayne Anderson Goals for Chapter 3 To use vectors
More informationChapter 3 Homework Packet. Conceptual Questions
Chapter 3 Homework Packet Conceptual Questions 1) Which one of the following is an example of a vector quantity? A) mass B) area C) distance D) velocity A vector quantity has both magnitude and direction.
More informationLab 5: Projectile Motion
Concepts to explore Scalars vs. vectors Projectiles Parabolic trajectory As you learned in Lab 4, a quantity that conveys information about magnitude only is called a scalar. However, when a quantity,
More information2. Two Dimensional Kinematics
. Two Dimensional Kinematics A) Overview We will begin by introducing the concept of vectors that will allow us to generalize what we learned last time in one dimension to two and three dimensions. In
More informationLinear and Non Linear Motion. Reading: Supplemental Textbook Materials, pages
Linear and Non Linear Motion Reading: Supplemental Textbook Materials, pages 73-87 Acceleration Rate of increase of a rate d/t t Increases rate for each increment in time that has passed So there is an
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 informationMultiple-Choice Questions
Multiple-Choice Questions 1. A rock is thrown straight up from the edge of a cliff. The rock reaches the maximum height of 15 m above the edge and then falls down to the bottom of the cliff 35 m below
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 informationPhys 201, Lecture 5 Feb.2. Chapter 3: Mo;on in Two and Three Dimensions
Phys 201, Lecture 5 Feb.2 Chapter 3: Mo;on in Two and Three Dimensions Displacement, Velocity and Acceleration Displacement describes the location change of a particle Velocity is rate of change of displacement
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 informationKinematics in Two-Dimensions
Slide 1 / 92 Slide 2 / 92 Kinematics in Two-Dimensions www.njctl.org Slide 3 / 92 How to Use this File Each topic is composed of brief direct instruction There are formative assessment questions after
More informationSTRAIGHT LINE MOTION TEST
STRAIGHT LINE MOTION TEST Name: 1. The number of significant figures in the number 0.030 is a) b) 3 c) d) 5. The number 35.5 rounded to significant figures is a) 35.0 b) 35 c) 35.5 d) 0 3. Five different
More informationA. Basic Concepts and Graphs
A. Basic Concepts and Graphs A01 [Qual] [Easy] For each of the following, select if it is a vector or a scalar. a) Speed b) Distance traveled c) Velocity d) (Linear) Displacement A02 [Qual] [Easy] Give
More informationPHY 141 Midterm 1 Oct 2, 2014 Version A
PHY 141 Midterm 1 Oct 2, 2014 Version A Put FULL NAME, ID#, and EXAM VERSION on the front cover of the BLUE BOOKLET! To avoid problems in grading: do all problems in order, write legibly, and show all
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 informationComment: Unlike distance, displacement takes into consideration the direction of motion from the point of origin (where the object starts to move).
Chapter 3 Kinematics (A) Distance Vs Displacement 1. Compare distance and displacement in terms of: (a) definition Distance is the total length of travel, irrespective of direction. Displacement is the
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 informationJames T. Shipman Jerry D. Wilson Charles A. Higgins, Jr. Omar Torres. Chapter 2 Motion Cengage Learning
James T. Shipman Jerry D. Wilson Charles A. Higgins, Jr. Omar Torres Chapter 2 Motion Defining Motion Motion is a continuous change in position can be described by measuring the rate of change of position
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 informationExam 1 Practice SOLUTIONS Physics 111Q.B
Exam 1 Practice SOLUTIONS Physics 111Q.B Instructions This is a collection of practice problems for the first exam. The first exam will consist of 7-10 multiple choice questions followed by 1-3 problems
More informationThis Week. Next Week
This Week Tutorial and Test 1, in the lab (chapters 1 and 2) Next Week Experiment 1: Measurement of Lenth and Mass WileyPLUS Assinment 1 now available Due Monday, October 5 at 11:00 pm Chapters 2 & 3 28
More informationHonors Physics Acceleration and Projectile Review Guide
Honors Physics Acceleration and Projectile Review Guide Major Concepts 1 D Motion on the horizontal 1 D motion on the vertical Relationship between velocity and acceleration Difference between constant
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 informationFalling Objects and Projectile Motion
Falling Objects and Projectile Motion Gravity influences motion in a particular way. How does a dropped object behave? accelerate, or speed constant? What if they have: different masses? different shapes?
More informationChapter 4. Motion in Two Dimensions. Professor Wa el Salah
Chapter 4 Motion in Two Dimensions Kinematics in Two Dimensions Will study the vector nature of position, velocity and acceleration in greater detail. Will treat projectile motion and uniform circular
More informationA. VOCABULARY REVIEWS On the line, write the term that correctly completes each statement. Use each term once.
PART III. KINEMATICS A. VOCABULARY REVIEWS On the line, write the term that correctly completes each statement. Use each term once. 1. rise (Δy) The vertical separation of any two points on a curve is
More informationIn 1-D, all we needed was x. For 2-D motion, we'll need a displacement vector made up of two components: r = r x + r y + r z
D Kinematics 1. Introduction 1. Vectors. Independence of Motion 3. Independence of Motion 4. x-y motions. Projectile Motion 3. Relative motion Introduction Using + or signs was ok in 1 dimension but is
More informationPhysics 231. Topic 3: Vectors and two dimensional motion. Alex Brown September MSU Physics 231 Fall
Physics 231 Topic 3: Vectors and two dimensional motion Alex Brown September 14-18 2015 MSU Physics 231 Fall 2014 1 What s up? (Monday Sept 14) 1) Homework set 01 due Tuesday Sept 15 th 10 pm 2) Learning
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 informationAnnouncements. Unit 1 homework due tomorrow 11:59 PM Quiz 1 on 3:00P Unit 1. Units 2 & 3 homework sets due 11:59 PM
Announcements Unit 1 homework due tomorrow (Tuesday) @ 11:59 PM Quiz 1 on Wednesday @ 3:00P Unit 1 Ø First 12 minutes of class: be on time!!! Units 2 & 3 homework sets due Sunday @ 11:59 PM Ø Most homework
More informationUNIT I: MECHANICS Chapter 5: Projectile Motion
IMPORTANT TERMS: Component Projectile Resolution Resultant Satellite Scalar quantity Vector Vector quantity UNIT I: MECHANICS Chapter 5: Projectile Motion I. Vector and Scalar Quantities (5-1) A. Vector
More informationTest Wed, Feb 8 th 7pm, G20 MING HSIEH Bring your calculator and #2 pencil with a good eraser! 20 Multiple choice questions from:
Test Wed, Feb 8 th 7pm, G20 MING HSIEH Bring your calculator and #2 pencil with a good eraser! 20 Multiple choice questions from: Chapter 1 (except section 1.2 and 1.7): Unit conversions, estimating, trigonometry,
More informationCHAPTER 3 KINEMATICS IN TWO DIMENSIONS; VECTORS
CHAPTER 3 KINEMATICS IN TWO DIMENSIONS; VECTORS OBJECTIVES After studying the material of this chapter, the student should be able to: represent the magnitude and direction of a vector using a protractor
More informationVector Quantities A quantity such as force, that has both magnitude and direction. Examples: Velocity, Acceleration
Projectile Motion Vector Quantities A quantity such as force, that has both magnitude and direction. Examples: Velocity, Acceleration Scalar Quantities A quantity such as mass, volume, and time, which
More informationLesson 8 Kinematics V - Circular Motion
I. Circular Motion and Polar Coordinates Lesson 8 Kinematics V - Circular Motion A. Consider the motion of ball on a circle from point A to point B as shown below. We could describe the path of the ball
More informationChapter 3: 2D Kinematics Tuesday January 20th
Chapter 3: 2D Kinematics Tuesday January 20th Chapter 3: Vectors Review: Properties of vectors Review: Unit vectors Position and displacement Velocity and acceleration vectors Relative motion Constant
More informationProjectile Motion trajectory Projectile motion
Projectile Motion The path that a moving object follows is called its trajectory. An object thrown horizontally is accelerated downward under the influence of gravity. Gravitational acceleration is only
More informationChapter 3 Motion in two or three dimensions
Chapter 3 Motion in two or three dimensions Lecture by Dr. Hebin Li Announcements As requested by the Disability Resource Center: In this class there is a student who is a client of Disability Resource
More informationChapter 4. Motion in Two Dimensions
Chapter 4 Motion in Two Dimensions Kinematics in Two Dimensions Will study the vector nature of position, velocity and acceleration in greater detail Will treat projectile motion and uniform circular motion
More informationKinematics Multiple- Choice Questions (answers on page 16)
Kinematics Multiple- Choice Questions (answers on page 16) 1. An object moves around a circular path of radius R. The object starts from point A, goes to point B and describes an arc of half of the circle.
More informationEnergy graphs and work
Energy graphs and work Saturday physics at 2pm tomorrow on music. LA info session on Monday at 5pm in UMC235 Clicker scores have been updated. If you have a 0, contact me and include your clicker ID number.
More informationMain Ideas in Class Today
2/4/17 Test Wed, Feb 8th 7pm, G24 Eiesland Bring your calculator and #2 pencil with a good eraser! 20 Multiple choice questions from: Chapter 1 (except section 1.2 and 1.7): Unit conversions, estimating,
More informationDot Product August 2013
Dot Product 12.3 30 August 2013 Dot product. v = v 1, v 2,..., v n, w = w 1, w 2,..., w n The dot product v w is v w = v 1 w 1 + v 2 w 2 + + v n w n n = v i w i. i=1 Example: 1, 4, 5 2, 8, 0 = 1 2 + 4
More informationExample problem: Free Fall
Example problem: Free Fall A ball is thrown from the top of a building with an initial velocity of 20.0 m/s straight upward, at an initial height of 50.0 m above the ground. The ball just misses the edge
More information( ) ( ) A i ˆj. What is the unit vector  that points in the direction of A? 1) The vector A is given by = ( 6.0m ) ˆ ( 8.0m ) Solution A D) 6 E) 6
A i ˆj. What is the unit vector  that points in the direction of A? 1) The vector A is given b ( 6.m ) ˆ ( 8.m ) A ˆ i ˆ ˆ j A ˆ i ˆ ˆ j C) A ˆ ( 1 ) ( i ˆ ˆ j) D) Aˆ.6 iˆ+.8 ˆj E) Aˆ.6 iˆ.8 ˆj A) (.6m
More informationText PHYSJC and your answer to 22333
Text PHYSJC and your answer to 22333 You have a slingshot that fires balls at a constant initial speed. At what angle of firing will you be able to maximize the range of the slingshot? Assume any targets
More informationPhys 2425: University Physics I Spring 2016 Practice Exam 1
1. (0 Points) What course is this? a. PHYS 1401 b. PHYS 140 c. PHYS 45 d. PHYS 46 Survey Questions no points. (0 Points) Which exam is this? a. Exam 1 b. Exam c. Final Exam 3. (0 Points) What version of
More informationadjacent hypotenuse opposite adjacent Thursday January 25 opposite hypotenuse This lecture: 2-dimensional motion Vectors Components
Thursday January 25 Assignments 1&2 Friday, 11:59pm.like every Friday Pre-Class Assignment 15min before class like every class Bring your lab print-out to lab Office Hours: Wed. 10-11am, 204 EAL Or by
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 informationForces and Newton s Laws
Forces and Newton s Laws Announcements: CAPA due today at 10pm we postponed the due date, so you would have the opportunity to go to the helproom. Next CAPA Assignment is available! Beginning Material
More informationClassical Physics - pre Kinematics & Mechanics Energy & Light & Heat Electricity & Magnetism Wave Motion. Modern Physics - post 1900
Scientific Method Observation or question Hypothesis - belief thru reason Procedure thru experiment Data, Calculations Analysis - conclusion to theory or law Prediction - check on theory for repeatability
More informationAH Mechanics Checklist (Unit 1) AH Mechanics Checklist (Unit 1) Rectilinear Motion
Rectilinear Motion No. kill Done 1 Know that rectilinear motion means motion in 1D (i.e. along a straight line) Know that a body is a physical object 3 Know that a particle is an idealised body that has
More informationPhysics 201 Homework 1
Physics 201 Homework 1 Jan 9, 2013 1. (a) What is the magnitude of the average acceleration of a skier who, starting (a) 1.6 m/s 2 ; (b) 20 meters from rest, reaches a speed of 8.0 m/s when going down
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 informationWhen we throw a ball :
PROJECTILE MOTION When we throw a ball : There is a constant velocity horizontal motion And there is an accelerated vertical motion These components act independently of each other PROJECTILE MOTION A
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 informationKinematics in Two Dimensions; 2D- Vectors
Kinematics in Two Dimensions; 2D- Vectors Addition of Vectors Graphical Methods Below are two example vector additions of 1-D displacement vectors. For vectors in one dimension, simple addition and subtraction
More informationPhysics 201, Midterm Exam 1, Fall Answer Key
Physics 201, Midterm Exam 1, Fall 2006 Answer Key 1) The equation for the change of position of a train starting at x = 0 m is given by x(t) = 1 2 at 2 + bt 3. The dimensions of b are: A. T 3 B. LT 3 C.
More informationProblem: Projectile (CM-1998)
Physics C -D Kinematics Name: ANSWER KEY AP Review Packet Vectors have both magnitude and direction displacement, velocity, acceleration Scalars have magnitude only distance, speed, time, mass Unit vectors
More informationPhysics 1A. Lecture 3B. "More than anything else... any guy here would love to have a monkey. A pet monkey." -- Dane Cook
Physics 1A Lecture 3B "More than anything else... any guy here would love to have a monkey. A pet monkey." -- Dane Cook Trajectories Since there is no horizontal acceleration (a x = 0) the horizontal position,
More informationChapter 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 informationLecture 02: 2D Kinematics. Physics 2210 Fall Semester 2014
Lecture 02: 2D Kinematics Physics 2210 Fall Semester 2014 Announcements Note that all Prelectures, Checkpoint Quizzes, and Homeworks are available one week before due date. You should have done Prelecture
More informationFull file at
Section 3-1 Constructing Complex Motions from Simple Motion *1. In Figure 3-1, the motion of a spinning wheel (W) that itself revolves in a circle is shown. Which of the following would not be represented
More information5 Projectile Motion. Projectile motion can be described by the horizontal and vertical components of motion.
Projectile motion can be described by the horizontal and vertical components of motion. In the previous chapter we studied simple straight-line motion linear motion. Now we extend these ideas to nonlinear
More informationSB Ch 6 May 15, 2014
Warm Up 1 Chapter 6: Applications of Trig: Vectors Section 6.1 Vectors in a Plane Vector: directed line segment Magnitude is the length of the vector Direction is the angle in which the vector is pointing
More informationProblem: Projectile (CM-1998) Justify your answer: Problem: Projectile (CM-1998) 5 10 m/s 3. Show your work: 3 m/s 2
Physics C -D Kinematics Name: AP Review Packet Vectors have both magnitude and direction displacement, velocity, acceleration Scalars have magnitude only distance, speed, time, mass Unit vectors Specify
More informationProjectile Motion. v a = -9.8 m/s 2. Good practice problems in book: 3.23, 3.25, 3.27, 3.29, 3.31, 3.33, 3.43, 3.47, 3.51, 3.53, 3.
v a = -9.8 m/s 2 A projectile is anything experiencing free-fall, particularly in two dimensions. 3.23, 3.25, 3.27, 3.29, 3.31, 3.33, 3.43, 3.47, 3.51, 3.53, 3.55 Projectile Motion Good practice problems
More informationVectors and 2D Kinematics. AIT AP Physics C
Vectors and 2D Kinematics Coordinate Systems Used to describe the position of a point in space Coordinate system consists of a fixed reference point called the origin specific axes with scales and labels
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 informationUNDERSTAND MOTION IN ONE AND TWO DIMENSIONS
SUBAREA I. COMPETENCY 1.0 UNDERSTAND MOTION IN ONE AND TWO DIMENSIONS MECHANICS Skill 1.1 Calculating displacement, aerage elocity, instantaneous elocity, and acceleration in a gien frame of reference
More informationCHAPTER 3 MOTION IN TWO AND THREE DIMENSIONS
CHAPTER 3 MOTION IN TWO AND THREE DIMENSIONS General properties of vectors displacement vector position and velocity vectors acceleration vector equations of motion in 2- and 3-dimensions Projectile motion
More information