Displacement, Time, Velocity
|
|
- Gavin Leonard
- 5 years ago
- Views:
Transcription
1 Lecture. Chapter : Motion along a Straight Line Displacement, Time, Velocity 3/6/05
2 One-Dimensional Motion The area of physics that we focus on is called mechanics: the study of the relationships between force, matter and motion For now we focus on kinematics: the language used to describe motion Later we will study dynamics: the relationship between motion and its causes (forces) Simplest kind of motion: -D motion (along a straight line) A particle is a model of moing body in absence of effects such as change of shape and rotation Velocity and acceleration are physical quantities to describe the motion of particle Velocity and acceleration are ectors 3/6/05
3 Position and Displacement Motion is purely translational, when there is no rotation inoled. Any object that is undergoing purely translational motion can be described as a point particle (an object with no size). The position of a particle is a ector that points from the origin of a coordinate system to the location of the particle The displacement of a particle oer a gien time interal is a ector that points from its initial position to its final position. It is the change in position of the particle. To study the motion, we need coordinate system 3/6/05 3
4 Position and Displacement Motion of the particle on the dragster can be described in terms of the change in particle s position oer time interal Displacement of particle is a ector pointing from P to P along the -ais 3/6/05 4
5 5 3/6/05 Aerage Velocity Aerage elocity during this time interal is a ector quantity whose -component is the change in diided by the time interal t t t a t t t
6 Aerage Velocity Aerage elocity is positie when during the time interal coordinate increased and particle moed in the positie direction If particle moes in negatie -direction during time interal, aerage elocity is negatie 9m 77m 58m t t t 5.0s 6.0s 9. 0s a t 58m 9m / 9.0s s 3/6/05 6 6
7 X-t Graph This graph is pictorial way to represent how particle position changes in time Aerage elocity depends only on total displacement, not on the details of what happens during time interal t The aerage speed of a particle is scalar quantity that is equal to the total distance traeled diided by the total time elapsed. 3/6/05 7
8 Aerage Velocity 3/6/05 8
9 Instantaneous Velocity Instantaneous elocity of a particle is a ector equal to the limit of the aerage elocity as the time interal approaches zero. It equals the instantaneous rate of change of position with respect to time. lim t 0 t d dt 3/6/05 9
10 Instantaneous Velocity On a graph of position as a function of time for one-dimensional motion, the instantaneous elocity at a point is equal to the slope of the tangent to the cure at that point. 3/6/05 0
11 Instantaneous Velocity 3/6/05
12 Instantaneous Velocity Concept Question The graph shows position ersus time for a particle undergoing -D motion. At which point(s) is the elocity positie? At which point(s) is the elocity negatie? At which point(s) is the elocity zero? At which point is speed the greatest? 3/6/05
13 Acceleration Acceleration If the elocity of an object is changing with time, then the object is undergoing an acceleration. Acceleration is a measure of the rate of change of elocity with respect to time. Acceleration is a ector quantity. In straight-line motion its only non-zero component is along the ais along which the motion takes place. 3/6/05 3
14 Aerage Acceleration Aerage Acceleration oer a gien time interal is defined as the change in elocity diided by the change in time. In SI units acceleration has units of m/s. a a t t t 3/6/05 4
15 Instantaneous Acceleration Instantaneous acceleration of an object is obtained by letting the time interal in the aboe definition of aerage acceleration become ery small. Specifically, the instantaneous acceleration is the limit of the aerage acceleration as the time interal approaches zero: a lim t 0 t d dt 3/6/05 5
16 Acceleration of Graphs 3/6/05 6
17 Acceleration of Graphs 3/6/05 7
18 Acceleration of Graphs 3/6/05 8
19 Constant Acceleration Motion In the special case of constant acceleration: the elocity will be a linear function of time, and the position will be a quadratic function of time. For this type of motion, the relationships between position, elocity and acceleration take on the simple forms : a t t a t a t 3/6/05 9
20 Constant Acceleration Motion 3/6/05 0
21 3/6/05 Constant Acceleration Motion Position of a particle moing with constant acceleration 0 0 t t a 0 a t a 0 t a t a a t t a t a t
22 3/6/05 Constant Acceleration Motion Relationship between position of a particle moing with constant acceleration, and elocity and acceleration itself: 0 0 t a t t a 0 a t a a a ) ( 0 0 a
23 A car is moing along the -ais. The graph below shows the position of the object as function of time. The questions below refer to that object. Find the displacement between t=0s and t=.0s Find the displacement between t=0s and t=4.0s Find the distance coered between t=0s and t=4.0s Find the acceleration at t=3.0s Find the distance coered between t=3.0s and t=7.0s Find the instantaneous elocity at t=3.0s Find the instantaneous elocity at t=4.5s Find the aerage elocity between t=.0s and t=6.0s 3/6/05 3
24 A car is moing along the -ais. The graph below shows the elocity of the object as function of time. The questions below refer to that object. Find the elocity at t=3s Find the displacement between t=0s and t=4.0s Find the aerage elocity between t=0s and t=4.0s Find the aerage speed between t=0s and t=4.0s Find the acceleration at t=3.0s Find the distance coered between t=0s and t=7.0s Find the speed at t=4.0s 3/6/05 4
25 Freely Falling Bodies The constant acceleration of a freely falling body is called acceleration due to graity, g Approimate alue near earth s surface g = 9.8 m/s = 980 cm/s = 3 ft/s g is the magnitude of a ector, it is always positie number Acceleration due to graity Near the sun: 70 m/s Near the moon:.6 m/s Eact g alue aries with location 3/6/05 5
26 Problem An egg is thrown ertically upward from a point near the cornice of a tall building. It just misses the cornice on the way down and passes a point 50 m below its starting point 5.0 s after it leaes the thrower s hand. Ignore air resistance. a. What is the initial speed of the egg? b. How high does it rise aboe its starting point? c. What is the magnitude of its elocity at its highest point? d. What are the magnitude and direction of its acceleration at the highest point? 3/6/05 6
27 Step : Draw it h, height aboe building 50 m in 5 s 3/6/05 7
28 Make some definitions Let t=5 s Let o = initial elocity, in positie direction Let g=9.8 m/s, acceleration due to graity, in negatie direction. total distance =-50 m () t at o y() t at ot yo f 0 a( y f yo) 3/6/05 8
29 Apply Definitions and Sole Let t=5 s Let o = initial elocity, in positie direction Let g=9.8 m/s, acceleration due to graity, in negatie direction. This will be a total distance =-50 m =y(t)-y o y() t at ot yo y() t yo at ot 50 g(5) o (5) m / s 0 3/6/05 9
30 Part B) Find height aboe bldg 0 =4.5 m/s At top of the arc, f =0 At t=0, let y 0 =0 () t at o y() t at ot yo f 0 a( y f yo) 3/6/05 30
31 Part B) Find height aboe bldg 0 =4.5 m/s At top of the arc, f =0 At t=0, let y 0 =0 Let y f =h f 0 a( y f yo) g( h 0) f g 0.7 m h h 3/6/05 3
32 Parts C) and D) At the top of the arc, =0 m/s Always in this problem a=-g=-9.8 m/s 3/6/05 3
33 Problem A car 3.5 m in length and traeling at a constant speed of 0 m/s is approaching an intersection which is 0 m wide. The light turns yellow when the front of the car is 50 m from the beginning of the intersection. If the drier steps on the brake, the car will slow at -3.8 m/s. If the drier steps on the gas pedal, the car will accelerate at.3 m/s. The light will be yellow for 3 seconds. Ignore reaction time. To aoid being in the intersection when the light changes to red, accelerate or brake? 3/6/05 33
34 Step : Draw It! 3.5 m 50 m In order for the car to run the green light, It must traerse m=73.5 m so that no part of the car is in the intersection 0 m Braking is easier, it must traerse less than 50 m 3/6/05 34
35 Our Options We know that t=3 s a is either.3 m/s or m/s o =0 m/s Total distance is either 73.5 m or 50 m () t at o () t at ot o f 0 a( f o ) 3/6/05 35
36 Our Options We know that t=3 s a is either.3 m/s or -3.8 m/s o =0 m/s Total distance is either >73.5 m or <50 m () t at ot o Braking () t at ot t ( t) 4.9 m ( ) o (3.8) 3 03 o Run It! t ( t) 70.4 m () t at ot o ( ) o (.3) 3 03 o 3/6/05 36
37 Problem A physics student with too much free time drops a water melon from the roof of a building. He hears the sound of the watermelon going splat.5 s later. How high is the building? The speed of sound is 340 m/s and ignore air resistance. 3/6/05 37
38 Step : Draw It! h Splat! 3/6/05 38
39 Some Hard Thinkin The melon eperiences an acceleration due to graity. The student merely dropped it, so its initial elocity was 0. The sound wae is unaffected by graity so it moes with constant elocity from the ground toward the student. These are two separate eents with a total time of.5 s 3/6/05 39
40 Some Hard Thinkin part The equation for the distance that the melon traerses is y=-/*g*(t ) where y= height of bldg and t is the time for the fall. The equation of distance for the sound wae is y= s *t where s = speed of sound =340 m/s The total time for all this to transpire is.5 s or.5 s =t +t 3/6/05 40
41 Soling y gt y 4.9t y 340t.5 t t t.5 t y 340*.5 t t 4.9t t or 4.9t 340t t t y or t b b 4ac a or.4 s 4.9* m y 340* m ( 850) 3/6/05 4
42 Problem.89 A painter is standing on scaffolding that is raised at a constant speed. As he traels upward, he accidentally nudges a paint can off the scaffolding and it falls 5 m to the ground. You are watching and measure with your stopwatch that it takes 3.5 s for the can to reach the ground. a. What is the speed of the can just before it hits the ground? b. Another painter is standing on a ledge with his hands 4 m aboe the can when it falls. He has lightningfast reflees and can catch if at all possible. Does he get a chance? 3/6/05 4
43 Part a) Make some definitions Let t=3.5 s Let o = initial elocity, in positie direction Let g=9.8 m/s, acceleration due to graity, in negatie direction. total distance =-5 m () t at o y() t at ot yo f 0 a( y f yo) 3/6/05 43
44 Make some definitions We must sole this equation for () t at o o And then we must use this equation to sole for the elocity y() t at ot yo f 0 a( y f yo) 3/6/05 44
45 Soling y( t) y 5 y() t at ot yo o g(3.5) o 3.5 o.3 m / s o () t at o ( t) g *3.5.3 ( t) 0.5 m 3/6/05 45
46 Part B) Make some definitions The word falls is slightly misleading, the can first rises in the air and then falls to the ground. What it is asking for is how high the can flies aboe the release point; it must be greater than 4 m So we are soling for a total y displacement (y f -y o ) At the top of the arc, f =0 Let o = initial elocity, in positie direction,.3 m/s Let g=9.8 m/s, acceleration due to graity, in negatie direction. () t at o y() t at ot yo f 0 a( y f yo) 3/6/05 46
47 Part B) Make some definitions What it is asking for is how high the can flies aboe the release point; it must be greater than 4 m So we are soling for a total y displacement (y f -y o ) At the top of the arc, f =0 Let o = initial elocity, in positie direction,.3 m/s Let g=9.8 m/s, acceleration due to graity, in negatie direction. f 0 a( y f yo) 0.3 g( y f yo).3 g ( y y ) 6.5 m ( y y ) Yes, he can catch it f f o o 3/6/05 47
PHYS 1443 Section 004 Lecture #4 Thursday, Sept. 4, 2014
PHYS 1443 Section 004 Lecture #4 Thursday, Sept. 4, 014 One Dimensional Motion Motion under constant acceleration One dimensional Kinematic Equations How do we sole kinematic problems? Falling motions
More informationPHYS 1441 Section 002 Lecture #6
PHYS 1441 Section 00 Lecture #6 Monday, Feb. 4, 008 Examples for 1-Dim kinematic equations Free Fall Motion in Two Dimensions Maximum ranges and heights Today s homework is homework #3, due 9pm, Monday,
More informationVISUAL PHYSICS ONLINE RECTLINEAR MOTION: UNIFORM ACCELERATION
VISUAL PHYSICS ONLINE RECTLINEAR MOTION: UNIFORM ACCELERATION Predict Obsere Explain Exercise 1 Take an A4 sheet of paper and a heay object (cricket ball, basketball, brick, book, etc). Predict what will
More informationDynamics ( 동역학 ) Ch.2 Motion of Translating Bodies (2.1 & 2.2)
Dynamics ( 동역학 ) Ch. Motion of Translating Bodies (. &.) Motion of Translating Bodies This chapter is usually referred to as Kinematics of Particles. Particles: In dynamics, a particle is a body without
More informationChapter 2: 1D Kinematics Tuesday January 13th
Chapter : D Kinematics Tuesday January 3th Motion in a straight line (D Kinematics) Aerage elocity and aerage speed Instantaneous elocity and speed Acceleration Short summary Constant acceleration a special
More informationLesson 2: Kinematics (Sections ) Chapter 2 Motion Along a Line
Lesson : Kinematics (Sections.-.5) Chapter Motion Along a Line In order to specify a position, it is necessary to choose an origin. We talk about the football field is 00 yards from goal line to goal line,
More informationWould you risk your live driving drunk? Intro
Martha Casquete Would you risk your lie driing drunk? Intro Motion Position and displacement Aerage elocity and aerage speed Instantaneous elocity and speed Acceleration Constant acceleration: A special
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 2 Motion Along a Straight Line
Chapter Motion Along a Straight Line In this chapter we will study how objects moe along a straight line The following parameters will be defined: (1) Displacement () Aerage elocity (3) Aerage speed (4)
More informationNote on Posted Slides. Motion Is Relative
Note on Posted Slides These are the slides that I intended to show in class on Tue. Jan. 9, 2014. They contain important ideas and questions from your reading. Due to time constraints, I was probably not
More informationChapter 1: Kinematics of Particles
Chapter 1: Kinematics of Particles 1.1 INTRODUCTION Mechanics the state of rest of motion of bodies subjected to the action of forces Static equilibrium of a body that is either at rest or moes with constant
More informationMCAT Physics - Problem Drill 06: Translational Motion
MCAT Physics - Problem Drill 06: Translational Motion Question No. 1 of 10 Instructions: (1) Read the problem and answer choices carefully () Work the problems on paper as 1. An object falls from rest
More informationPhysics 111. Help sessions meet Sunday, 6:30-7:30 pm in CLIR Wednesday, 8-9 pm in NSC 098/099
ics Announcements day, ember 7, 2007 Ch 2: graphing - elocity s time graphs - acceleration s time graphs motion diagrams - acceleration Free Fall Kinematic Equations Structured Approach to Problem Soling
More informationFeb 6, 2013 PHYSICS I Lecture 5
95.141 Feb 6, 213 PHYSICS I Lecture 5 Course website: faculty.uml.edu/pchowdhury/95.141/ www.masteringphysics.com Course: UML95141SPRING213 Lecture Capture h"p://echo36.uml.edu/chowdhury213/physics1spring.html
More information1-D Kinematics Problems
x (m) Name: AP Physics -D Kinemics Problems 5. Answer the following based on the elocity s. time graph. 6 8 4-4 -8 - straight cured 4 6 8 a. Gie a written description of the motion. t (s) Object moes in
More informationDO PHYSICS ONLINE. WEB activity: Use the web to find out more about: Aristotle, Copernicus, Kepler, Galileo and Newton.
DO PHYSICS ONLINE DISPLACEMENT VELOCITY ACCELERATION The objects that make up space are in motion, we moe, soccer balls moe, the Earth moes, electrons moe, - - -. Motion implies change. The study of the
More informationChapter (3) Motion. in One. Dimension
Chapter (3) Motion in One Dimension Pro. Mohammad Abu Abdeen Dr. Galal Ramzy Chapter (3) Motion in one Dimension We begin our study o mechanics by studying the motion o an object (which is assumed to be
More information(a) During the first part of the motion, the displacement is x 1 = 40 km and the time interval is t 1 (30 km / h) (80 km) 40 km/h. t. (2.
Chapter 3. Since the trip consists of two parts, let the displacements during first and second parts of the motion be x and x, and the corresponding time interals be t and t, respectiely. Now, because
More informationNote on Posted Slides. Chapter 3 Pre-Class Reading Question. Chapter 3 Reading Question : The Fine Print. Suggested End of Chapter Items
Note on Posted Slides These are the slides that I intended to show in class on Wed. Jan. 9, 2013. They contain important ideas and questions from your reading. Due to time constraints, I was probably not
More informationCHAPTER 3: Kinematics in Two Dimensions; Vectors
HAPTER 3: Kinematics in Two Dimensions; Vectors Solution Guide to WebAssign Problems 3.1 [] The truck has a displacement of 18 + (16) blocks north and 1 blocks east. The resultant has a magnitude of +
More informationAlgebra Based Physics. Motion in One Dimension. 1D Kinematics Graphing Free Fall 2016.notebook. August 30, Table of Contents: Kinematics
Table of Contents: Kinematics Algebra Based Physics Kinematics in One Dimension 06 03 www.njctl.org Motion in One Dimension Aerage Speed Position and Reference Frame Displacement Aerage Velocity Instantaneous
More informationphy 3.1.notebook September 19, 2017 Everything Moves
Eerything Moes 1 2 \ Diagrams: Motion 1) Motion (picture) no reference! time lapsed photo Type Motion? 3 origin Diagrams: reference pt. Motion reference! 1) Motion (picture) diagram time lapsed photo by
More informationPhysics 1: Mechanics
Physics 1: Mechanics Đào Ngọc Hạnh Tâm Office: A1.53, Email: dnhtam@hcmiu.edu.n HCMIU, Vietnam National Uniersity Acknowledgment: Most of these slides are supported by Prof. Phan Bao Ngoc credits (3 teaching
More informationNote: the net distance along the path is a scalar quantity its direction is not important so the average speed is also a scalar.
PHY 309 K. Solutions for the first mid-term test /13/014). Problem #1: By definition, aerage speed net distance along the path of motion time. 1) ote: the net distance along the path is a scalar quantity
More informationKinematics of Particles
nnouncements Recitation time is set to 8am eery Monday. Participation i credit will be gien to students t who uploads a good question or good answer to the Q& bulletin board. Suggestions? T s and I will
More informationRutgers University Department of Physics & Astronomy. 01:750:271 Honors Physics I Fall Lecture 4. Home Page. Title Page. Page 1 of 35.
Rutgers Uniersit Department of Phsics & Astronom 01:750:271 Honors Phsics I Fall 2015 Lecture 4 Page 1 of 35 4. Motion in two and three dimensions Goals: To stud position, elocit, and acceleration ectors
More informationMotion in Two and Three Dimensions
PH 1-1D Spring 013 Motion in Two and Three Dimensions Lectures 5,6,7 Chapter 4 (Halliday/Resnick/Walker, Fundamentals of Physics 9 th edition) 1 Chapter 4 Motion in Two and Three Dimensions In this chapter
More informationPhysics 4A Solutions to Chapter 4 Homework
Physics 4A Solutions to Chapter 4 Homework Chapter 4 Questions: 4, 1, 1 Exercises & Problems: 5, 11, 3, 7, 8, 58, 67, 77, 87, 11 Answers to Questions: Q 4-4 (a) all tie (b) 1 and tie (the rocket is shot
More informationSKAA 1213 Engineering Mechanics
SKAA 113 Engineering Mechanic TOPIC 8 KINEMATIC OF PARTICLES Lecturer: Roli Anang Dr. Mohd Yunu Ihak Dr. Tan Cher Siang Outline Introduction Rectilinear Motion Curilinear Motion Problem Introduction General
More informationA. unchanged increased B. unchanged unchanged C. increased increased D. increased unchanged
IB PHYSICS Name: DEVIL PHYSICS Period: Date: BADDEST CLASS ON CAMPUS CHAPTER B TEST REVIEW. A rocket is fired ertically. At its highest point, it explodes. Which one of the following describes what happens
More informationMotion in Two and Three Dimensions
PH 1-A Fall 014 Motion in Two and Three Dimensions Lectures 4,5 Chapter 4 (Halliday/Resnick/Walker, Fundamentals of Physics 9 th edition) 1 Chapter 4 Motion in Two and Three Dimensions In this chapter
More informationLesson 3: Free fall, Vectors, Motion in a plane (sections )
Lesson 3: Free fall, Vectors, Motion in a plane (sections.6-3.5) Last time we looked at position s. time and acceleration s. time graphs. Since the instantaneous elocit is lim t 0 t the (instantaneous)
More informationqwertyuiopasdfghjklzxcvbnmqwerty uiopasdfghjklzxcvbnmqwertyuiopasd fghjklzxcvbnmqwertyuiopasdfghjklzx cvbnmqwertyuiopasdfghjklzxcvbnmq
qwertyuiopasdfgjklzxcbnmqwerty uiopasdfgjklzxcbnmqwertyuiopasd fgjklzxcbnmqwertyuiopasdfgjklzx cbnmqwertyuiopasdfgjklzxcbnmq Projectile Motion Quick concepts regarding Projectile Motion wertyuiopasdfgjklzxcbnmqwertyui
More informationCentripetal force. Objectives. Assessment. Assessment. Equations. Physics terms 5/13/14
Centripetal force Objecties Describe and analyze the motion of objects moing in circular motion. Apply Newton s second law to circular motion problems. Interpret free-body force diagrams. 1. A race car
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 informationFOCUS ON CONCEPTS Section 7.1 The Impulse Momentum Theorem
WEEK-6 Recitation PHYS 3 FOCUS ON CONCEPTS Section 7. The Impulse Momentum Theorem Mar, 08. Two identical cars are traeling at the same speed. One is heading due east and the other due north, as the drawing
More informationDYNAMICS. Kinematics of Particles Engineering Dynamics Lecture Note VECTOR MECHANICS FOR ENGINEERS: Eighth Edition CHAPTER
27 The McGraw-Hill Companies, Inc. All rights resered. Eighth E CHAPTER 11 VECTOR MECHANICS FOR ENGINEERS: DYNAMICS Ferdinand P. Beer E. Russell Johnston, Jr. Kinematics of Particles Lecture Notes: J.
More informationMOTION OF FALLING OBJECTS WITH RESISTANCE
DOING PHYSICS WIH MALAB MECHANICS MOION OF FALLING OBJECS WIH RESISANCE Ian Cooper School of Physics, Uniersity of Sydney ian.cooper@sydney.edu.au DOWNLOAD DIRECORY FOR MALAB SCRIPS mec_fr_mg_b.m Computation
More information3. What is the minimum work needed to push a 950-kg car 310 m up along a 9.0 incline? Ignore friction. Make sure you draw a free body diagram!
Wor Problems Wor and Energy HW#. How much wor is done by the graitational force when a 280-g pile drier falls 2.80 m? W G = G d cos θ W = (mg)d cos θ W = (280)(9.8)(2.80) cos(0) W = 7683.2 W 7.7 0 3 Mr.
More informationLesson 6: Apparent weight, Radial acceleration (sections 4:9-5.2)
Beore we start the new material we will do another Newton s second law problem. A bloc is being pulled by a rope as shown in the picture. The coeicient o static riction is 0.7 and the coeicient o inetic
More informationOn my honor, I have neither given nor received unauthorized aid on this examination.
Instructor(s): Field/Furic PHYSICS DEPARTENT PHY 2053 Exam 1 October 5, 2011 Name (print, last first): Signature: On my honor, I hae neither gien nor receied unauthorized aid on this examination. YOUR
More informationReview. acceleration is the rate of change of velocity (how quickly the velocity is changing) For motion in a line. v t
Accelerated Motion Reiew acceleration is the rate o change o elocity (how quickly the elocity is changing) For motion in a line a i t t When an object is moing in a straight line, a positie acceleration
More information(a) Taking the derivative of the position vector with respect to time, we have, in SI units (m/s),
Chapter 4 Student Solutions Manual. We apply Eq. 4- and Eq. 4-6. (a) Taking the deriatie of the position ector with respect to time, we hae, in SI units (m/s), d ˆ = (i + 4t ˆj + tk) ˆ = 8tˆj + k ˆ. dt
More informationu P(t) = P(x,y) r v t=0 4/4/2006 Motion ( F.Robilliard) 1
y g j P(t) P(,y) r t0 i 4/4/006 Motion ( F.Robilliard) 1 Motion: We stdy in detail three cases of motion: 1. Motion in one dimension with constant acceleration niform linear motion.. Motion in two dimensions
More informationDepartment of Physics PHY 111 GENERAL PHYSICS I
EDO UNIVERSITY IYAMHO Department o Physics PHY 111 GENERAL PHYSICS I Instructors: 1. Olayinka, S. A. (Ph.D.) Email: akinola.olayinka@edouniersity.edu.ng Phone: (+234) 8062447411 2. Adekoya, M. A Email:
More informationWork and Kinetic Energy
Work Work an Kinetic Energy Work (W) the prouct of the force eerte on an object an the istance the object moes in the irection of the force (constant force only). W = " = cos" (N " m = J)! is the angle
More informationMotion Along a Straight Line (Motion in One-Dimension)
Chapter 2 Motion Along a Straight Line (Motion in One-Dimension) Learn the concepts of displacement, velocity, and acceleration in one-dimension. Describe motions at constant acceleration. Be able to graph
More information1. Linear Motion. Table of Contents. 1.1 Linear Motion: Velocity Time Graphs (Multi Stage) 1.2 Linear Motion: Velocity Time Graphs (Up and Down)
. LINEAR MOTION www.mathspoints.ie. Linear Motion Table of Contents. Linear Motion: Velocity Time Graphs (Multi Stage). Linear Motion: Velocity Time Graphs (Up and Down).3 Linear Motion: Common Initial
More informationSection 3.1 Quadratic Functions and Models
Math 130 www.timetodare.com Section 3.1 Quadratic Functions and Models Quadratic Function: ( ) f x = ax + bx+ c ( a 0) The graph of a quadratic function is called a parabola. Graphing Parabolas: Special
More informationUNIVERSITY OF SASKATCHEWAN Department of Physics and Engineering Physics
UNIVERSITY OF SASKATCHEWAN Department of Physics and Engineering Physics 0 Saskatchewan High School Physics Scholarship Competition May 8, 0 Time: 90 minutes This competition is based on the Saskatchewan
More informationONLINE: MATHEMATICS EXTENSION 2 Topic 6 MECHANICS 6.6 MOTION IN A CIRCLE
ONLINE: MAHEMAICS EXENSION opic 6 MECHANICS 6.6 MOION IN A CICLE When a particle moes along a circular path (or cured path) its elocity must change een if its speed is constant, hence the particle must
More informationPhysics 2A Chapter 3 - Motion in Two Dimensions Fall 2017
These notes are seen pages. A quick summary: Projectile motion is simply horizontal motion at constant elocity with ertical motion at constant acceleration. An object moing in a circular path experiences
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 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 informationStatus: Unit 2, Chapter 3
1 Status: Unit, Chapter 3 Vectors and Scalars Addition of Vectors Graphical Methods Subtraction of Vectors, and Multiplication by a Scalar Adding Vectors by Components Unit Vectors Vector Kinematics Projectile
More informationModule 4: One-Dimensional Kinematics
4.1 Introduction Module 4: One-Dimensional Kinematics Kinematics is the mathematical description of motion. The term is derived from the Greek word kinema, meaning movement. In order to quantify motion,
More informationKinematics Multiple-Choice Questions
Kinematics Multiple-Choice Questions 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. Which of the following
More informationCJ57.P.003 REASONING AND SOLUTION According to the impulse-momentum theorem (see Equation 7.4), F t = mv
Solution to HW#7 CJ57.CQ.003. RASONNG AND SOLUTON a. Yes. Momentum is a ector, and the two objects hae the same momentum. This means that the direction o each object s momentum is the same. Momentum is
More informationAP Physics Multiple Choice Practice Gravitation
AP Physics Multiple Choice Practice Graitation. Each of fie satellites makes a circular orbit about an object that is much more massie than any of the satellites. The mass and orbital radius of each satellite
More informationPearson Physics Level 20 Unit I Kinematics: Chapter 2 Solutions
Pearson Phsics Leel 0 Unit I Kinematics: Chapter Solutions Student Book page 71 Skills Practice Students answers will ar but ma consist of: (a) scale 1 cm : 1 m; ector will be 5 cm long scale 1 m forward
More informationDYNAMICS. Kinematics of Particles VECTOR MECHANICS FOR ENGINEERS: Tenth Edition CHAPTER
Tenth E CHAPTER 11 VECTOR MECHANICS FOR ENGINEERS: DYNAMICS Ferdinand P. Beer E. Russell Johnston, Jr. Phillip J. Cornwell Lecture Notes: Brian P. Self California Polytechnic State Uniersity Kinematics
More information(a)!! d = 17 m [W 63 S]!! d opposite. (b)!! d = 79 cm [E 56 N] = 79 cm [W 56 S] (c)!! d = 44 km [S 27 E] = 44 km [N 27 W] metres. 3.
Chapter Reiew, pages 90 95 Knowledge 1. (b). (d) 3. (b) 4. (a) 5. (b) 6. (c) 7. (c) 8. (a) 9. (a) 10. False. A diagram with a scale of 1 cm : 10 cm means that 1 cm on the diagram represents 10 cm in real
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 informationLinear Momentum and Collisions Conservation of linear momentum
Unit 4 Linear omentum and Collisions 4.. Conseration of linear momentum 4. Collisions 4.3 Impulse 4.4 Coefficient of restitution (e) 4.. Conseration of linear momentum m m u u m = u = u m Before Collision
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 informationPhysics 101 Lecture 3 Motion in 1D Dr. Ali ÖVGÜN
Physics 101 Lecture 3 Motion in 1D Dr. Ali ÖVGÜN EMU Physics Department Motion along a straight line q Motion q Position and displacement q Average velocity and average speed q Instantaneous velocity and
More informationMotion in 1 Dimension
Motion in 1 Dimension Physics is all about describing motion. For now we are going to discuss motion in 1 dimension, which means either along the x axis or the y axis. To describe an object s motion, we
More informationCHAPTER 3 ACCELERATED MOTION
Physics Approximate Timeline Students are expected to keep up with class work when absent. CHAPTER 3 ACCELERATED MOTION Day Plans for the day Assignments for the day 1 3.1 Acceleration o Changing Velocity
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 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 informationIII. Relative Velocity
Adanced Kinematics I. Vector addition/subtraction II. Components III. Relatie Velocity IV. Projectile Motion V. Use of Calculus (nonuniform acceleration) VI. Parametric Equations The student will be able
More informationEXPERIMENT 8 BALLISTIC PENDULUM. Figure 1 Setup to determine the initial speed of the projectile using the Blackwood Pendulum
EXPERIMENT 8 BALLISTIC PENDULUM I. Introduction. The objectie of this eperiment is to determine the initial elocity of a projectile fired from a gun by two methods. In the first the projectile undergoes
More informationPhysics Kinematics: Projectile Motion. Science and Mathematics Education Research Group
F FA ACULTY C U L T Y OF O F EDUCATION E D U C A T I O N Department of Curriculum and Pedagogy Physics Kinematics: Projectile Motion Science and Mathematics Education Research Group Supported by UBC Teaching
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 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 informationN12/4/PHYSI/SPM/ENG/TZ0/XX. Physics Standard level Paper 1. Tuesday 13 November 2012 (afternoon) 45 minutes INSTRUCTIONS TO CANDIDATES
N1/4/PHYSI/SPM/ENG/TZ0/XX 8816504 Physics Standard leel Paper 1 Tuesday 13 Noember 01 (afternoon) 45 minutes INSTRUCTIONS TO CANDIDATES Do not open this examination paper until instructed to do so. Answer
More information( ) Momentum and impulse Mixed exercise 1. 1 a. Using conservation of momentum: ( )
Momentum and impulse Mixed exercise 1 1 a Using conseration of momentum: ( ) 6mu 4mu= 4m 1 u= After the collision the direction of Q is reersed and its speed is 1 u b Impulse = change in momentum I = (3m
More informationMagnetic Fields Part 3: Electromagnetic Induction
Magnetic Fields Part 3: Electromagnetic Induction Last modified: 15/12/2017 Contents Links Electromagnetic Induction Induced EMF Induced Current Induction & Magnetic Flux Magnetic Flux Change in Flux Faraday
More informationPhysics 1200 Mechanics, Kinematics, Fluids, Waves
Physics 100 Mechanics, Kinematics, Fluids, Waes Lecturer: Tm Humanic Cntact inf: Office: Physics Research Building, Rm. 144 Email: humanic@mps.hi-state.edu Phne: 614 47 8950 Office hurs: Tuesday 3:00 pm,
More informationPhysics Department Tutorial: Motion in a Circle (solutions)
JJ 014 H Physics (9646) o Solution Mark 1 (a) The radian is the angle subtended by an arc length equal to the radius of the circle. Angular elocity ω of a body is the rate of change of its angular displacement.
More informationChapter 3 Motion in a Plane
Chapter 3 Motion in a Plane Introduce ectors and scalars. Vectors hae direction as well as magnitude. The are represented b arrows. The arrow points in the direction of the ector and its length is related
More informationInteractive Engagement via Thumbs Up. Today s class. Next class. Chapter 2: Motion in 1D Example 2.10 and 2.11 Any Question.
PHYS 01 Interactive Engagement via Thumbs Up 1 Chap.1 Sumamry Today s class SI units Dimensional analysis Scientific notation Errors Vectors Next class Chapter : Motion in 1D Example.10 and.11 Any Question
More informationBrake applications and the remaining velocity Hans Humenberger University of Vienna, Faculty of mathematics
Hans Humenberger: rake applications and the remaining elocity 67 rake applications and the remaining elocity Hans Humenberger Uniersity of Vienna, Faculty of mathematics Abstract It is ery common when
More informationAP Physics 1 Summer Assignment (2014)
Name: Date: AP Physics 1 Summer Assignment (2014) Instructions: 1. Read and study Chapter 2 Describing Motion: Kinematics in One Dimension. 2. Answer the questions below. 3. Submit your answers online
More informationTSOKOS CHAP 1 TEST REVIEW
IB PHYSICS Name: DEVIL PHYSICS Period: Date: BADDEST CLASS ON CAMPUS TSOKOS CHAP TEST REVIEW ORDERS OF MAGNITUDE AND UNITS 2. The resistie force F acting on a sphere of radius r moing at speed through
More informationChapter 2: 1D Kinematics
Chapter 2: 1D Kinematics Description of motion involves the relationship between position, displacement, velocity, and acceleration. A fundamental goal of 1D kinematics is to determine x(t) if given initial
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 informationEach dot represents an object moving, between constant intervals of time. Describe the motion that you see. equation symbol: units: Velocity
What is displacement, velocity and acceleration? what units do they have? vector vs scalar? One dimensional motion, and graphing Moving man worksheet moving man doc - todo Introduction to simple graphing
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 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 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 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 2 DESCRIBING MOTION: KINEMATICS IN ONE DIMENSION
CHAPTER 2 DESCRIBING MOTION: KINEMATICS IN ONE DIMENSION OBJECTIVES After studying the material of this chapter, the student should be able to: state from memory the meaning of the key terms and phrases
More information(f) none of the above
Honors Physics TEST: Kinematics in 1D 10/30/12 Part 1. Multiple Choice: Answer the following multiple choice questions by picking the selection that best answers the question. Write your answers on a separate
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 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 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 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. Specifically, the description of motion. Examples: The Earth orbits around
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 information1.1 Speed and Velocity in One and Two Dimensions
1.1 Speed and Velocity in One and Two Dienion The tudy of otion i called kineatic. Phyic Tool box Scalar quantity ha agnitude but no direction,. Vector ha both agnitude and direction,. Aerage peed i total
More information