Constant Acceleration

Size: px
Start display at page:

Download "Constant Acceleration"

Transcription

1 Constant Acceleration Ch. in your text book Objectives Students will be able to: ) Write the definition of acceleration, either in words or as an equation ) Create an equation for the movement of an object based on a velocity vs. time graph ) Use the general velocity equation to solve a problem ) Create an a vs. t graph based on a v vs. t graph

2 Review: Based on the graph, what is the object s velocity at second? At seconds? Velocity vs. Time Graphs

3 Based on the graph, what is the object s velocity at second? At seconds? Velocity does not have to be constant. Velocity vs. Time Graphs

4 Acceleration Acceleration a change in velocity over time The equation looks like this: a Unit for acceleration is m/s Changing velocity means you are: speeding up slowing down changing direction

5 Velocity vs. Time Graphs v(m/s) Based on the graph, what is the average acceleration for this person? What is the slope of the graph? What does the slope of a velocity vs. time graph represent?

6 Acceleration Acceleration is a vector, which means it has a direction. While it can be positive or negative, that doesn t necessarily indicate that you are speeding up or slowing down. Speeding up means your speed is going away from 0. Slowing down means your speed is getting closer to 0.

7 Acceleration Check for understanding Both graphs have a negative slope. Which one shows a car slowing down?

8 Acceleration Check for understanding Both graphs have a positive slope. Which one shows a car slowing down?

9 Acceleration In this class, we will use the terms positively accelerating or negatively accelerating. The term decelerating can be deceptive. Check for understanding ) What does a positive slope mean on a velocity graph? ) What does a negative slope mean on a velocity graph? ) What does a flat line mean on a velocity graph? ) What would a steep slope mean compared to a shallow slope?

10 Velocity vs. Time Graphs Check for understanding Based on the graph, describe, in words, the motion of this person.

11 Getting Acceleration From Velocity Graphs Based on the graph, what is the acceleration for this person? a a a The slope on the velocity graph is the acceleration.

12 Acceleration vs. Time Graphs Acceleration =. m/s They are going. m/s for seconds a (m/s )

13 Acceleration vs. Time Graphs a (m/s )

14 Acceleration vs. Time Graphs a (m/s ) 0 - -

15 Tangent Lines We made acceleration graphs from velocity graphs. Now it s time to make velocity graphs from position graphs (again) but for an object that is accelerating. For that, we need to first understand tangent lines. Tangent a straight line that touches a curve at a point, but if extended, does not cross the curve at that point The line is tangent to the circle at the red dot.

16 Tangent Lines Here are some bad examples. Please do not ever draw these.

17 Here are some good examples. Tangent Lines

18 Acceleration Graphs From Position Graphs x (m) This is a position graph for an object that is accelerating. What does the velocity vs. time graph look like?. Draw tangent lines at three points. The beginning, end, and middle usually work out best.

19 Acceleration Graphs From Position Graphs x (m) This is a position graph for an object that is accelerating. What does the velocity vs. time graph look like?. Determine the velocity (slope) at each point. Your only choices are positive, negative, or zero. Zero Positive More positive

20 Acceleration Graphs From Position Graphs. Place a point on the velocity graph for each of the points on the position graph where you drew a tangent line. Draw a line connecting the dots. x (m) More positive Positive Zero

21 Acceleration Graphs From Position Graphs. Draw the acceleration graph. x (m) a (m/s )

22 Acceleration Graphs From Position Graphs Try this one on your own. x (m) a (m/s )

23 To Finish Up On your white boards, answer the following questions: ) Determine the velocity of an object based on a position vs. time graph (be sure to check the scale on the vertical axis) ) Create an equation of an object based on a position vs. time graph ) Use the general position equation to solve a problem ) Create a velocity vs. time graph based on a position vs. time graph x (m) 0 0

Position and Displacement

Position and Displacement Position and Displacement Ch. in your text book Objectives Students will be able to: ) Explain the difference between a scalar and a vector quantity ) Explain the difference between total distance traveled

More information

Summary 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) 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 information

Graphical Analysis Part III. Motion Graphs. Basic Equations. Velocity is Constant. acceleration is zero. and. becomes

Graphical Analysis Part III. Motion Graphs. Basic Equations. Velocity is Constant. acceleration is zero. and. becomes Graphical Analysis Part III Motion Graphs Basic Equations d = vt+ 0 1 at v = v 0 + at Velocity is Constant acceleration is zero and becomes 1 d = v 0 t+ at d = vt 1 Velocity is Constant the slope of d

More information

Important Vocabulary Speed vs Velocity Acceleration Graphs of Motion Momentum

Important Vocabulary Speed vs Velocity Acceleration Graphs of Motion Momentum Important Vocabulary Speed vs Velocity Acceleration Graphs of Motion Momentum Important Vocabulary Position-location of an object Distance-how far an object has traveled, regardless of direction Displacement-change

More information

Motion Unit Review 1. To create real-time graphs of an object s displacement versus time and velocity versus time, a student would need to use a

Motion Unit Review 1. To create real-time graphs of an object s displacement versus time and velocity versus time, a student would need to use a Motion Unit Review 1. To create real-time graphs of an object s displacement versus time and velocity versus time, a student would need to use a A motion sensor.b low- g accelerometer. C potential difference

More information

Physics 1110: Mechanics

Physics 1110: Mechanics Physics 1110: Mechanics Announcements: CAPA set available in bins. Lectures can be found at the Course Calendar link. Written homework #1 (on website) due at beginning of recitation. The Moving Man simulation

More information

Rolling marble lab. B. Pre-Lab Questions a) When an object is moving down a ramp, is its speed increasing, decreasing, or staying the same?

Rolling marble lab. B. Pre-Lab Questions a) When an object is moving down a ramp, is its speed increasing, decreasing, or staying the same? IP 614 Rolling marble lab Name: Block: Date: A. Purpose In this lab you are going to see, first hand, what acceleration means. You will learn to describe such motion and its velocity. How does the position

More information

F = ma W = mg v = D t

F = ma W = mg v = D t Forces and Gravity Car Lab Name: F = ma W = mg v = D t p = mv Part A) Unit Review at D = f v = t v v Please write the UNITS for each item below For example, write kg next to mass. Name: Abbreviation: Units:

More information

THE MOVING MAN: DISTANCE, DISPLACEMENT, SPEED & VELOCITY

THE MOVING MAN: DISTANCE, DISPLACEMENT, SPEED & VELOCITY THE MOVING MAN: DISTANCE, DISPLACEMENT, SPEED & VELOCITY Background Remember graphs are not just an evil thing your teacher makes you create, they are a means of communication. Graphs are a way of communicating

More information

Chapter 2. Kinematic Equations. Problem 1. Kinematic Equations, specific. Motion in One Dimension

Chapter 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 information

Remember... Average rate of change slope of a secant (between two points)

Remember... Average rate of change slope of a secant (between two points) 3.7 Rates of Change in the Natural and Social Sciences Remember... Average rate of change slope of a secant (between two points) Instantaneous rate of change slope of a tangent derivative We will assume

More information

Chapter 2 Section 2: Acceleration

Chapter 2 Section 2: Acceleration Chapter 2 Section 2: Acceleration Motion Review Speed is the rate that an object s distance changes Distance is how far an object has travelled Speed = distance/time Velocity is rate that an object s displacement

More information

Acceleration. 3. Changing Direction occurs when the velocity and acceleration are neither parallel nor anti-parallel

Acceleration. 3. Changing Direction occurs when the velocity and acceleration are neither parallel nor anti-parallel Acceleration When the velocity of an object changes, we say that the object is accelerating. This acceleration can take one of three forms: 1. Speeding Up occurs when the object s velocity and acceleration

More information

AP Physics C: Mechanics Ch. 2 Motion. SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.

AP 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 information

Circular Motion Ch. 10 in your text book

Circular Motion Ch. 10 in your text book Circular Motion Ch. 10 in your text book Objectives Students will be able to: 1) Define rotation and revolution 2) Calculate the rotational speed of an object 3) Calculate the centripetal acceleration

More information

KINEMATICS IN ONE DIMENSION p. 1

KINEMATICS IN ONE DIMENSION p. 1 KINEMATICS IN ONE DIMENSION p. 1 Motion involves a change in position. Position can be indicated by an x-coordinate on a number line. ex/ A bumblebee flies along a number line... x = 2 when t = 1 sec 2

More information

Kinematics Motion in 1-Dimension

Kinematics Motion in 1-Dimension Kinematics Motion in 1-Dimension Lana Sheridan De Anza College Jan 15, 219 Last time how to solve problems 1-D kinematics Overview 1-D kinematics quantities of motion graphs of kinematic quantities vs

More information

3.3 Acceleration An example of acceleration Definition of acceleration Acceleration Figure 3.16: Steeper hills

3.3 Acceleration An example of acceleration Definition of acceleration Acceleration Figure 3.16: Steeper hills 3.3 Acceleration Constant speed is easy to understand. However, almost nothing moves with constant speed for long. When the driver steps on the gas pedal, the speed of the car increases. When the driver

More information

Speed how fast an object is moving (also, the magnitude of the velocity) scalar

Speed how fast an object is moving (also, the magnitude of the velocity) scalar Mechanics Recall Mechanics Kinematics Dynamics Kinematics The description of motion without reference to forces. Terminology Distance total length of a journey scalar Time instant when an event occurs

More information

Recitation Questions 1D Motion (part 1)

Recitation Questions 1D Motion (part 1) Recitation Questions 1D Motion (part 1) 18 January Question 1: Two runners (This problem is simple, but it has the same template as most of the problems that you ll be doing for this unit. Take note of

More information

Chapter 2. Motion in One Dimension. Professor Wa el Salah

Chapter 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 information

Which car/s is/are undergoing an acceleration?

Which car/s is/are undergoing an acceleration? Which car/s is/are undergoing an acceleration? Which car experiences the greatest acceleration? Match a Graph Consider the position-time graphs below. Each one of the 3 lines on the position-time graph

More information

Preliminary Physics. Moving About. DUXCollege. Week 2. Student name:. Class code:.. Teacher name:.

Preliminary Physics. Moving About. DUXCollege. Week 2. Student name:. Class code:.. Teacher name:. Week 2 Student name:. Class code:.. Teacher name:. DUXCollege Week 2 Theory 1 Present information graphically of: o Displacement vs time o Velocity vs time for objects with uniform and non-uniform linear

More information

FM: WARM-UP. Students gather evidence about the velocity change of objects in a collision. (10 min)

FM: WARM-UP. Students gather evidence about the velocity change of objects in a collision. (10 min) CH.3 COLLISIONS FM: 3.3.1 WARM-UP Students gather evidence about the velocity change of objects in a collision. (10 min) Both Objects will Change Velocity Only 1 Object will Change Velocity Neither Object

More information

Remember... Average rate of change slope of a secant (between two points)

Remember... Average rate of change slope of a secant (between two points) 3.7 Rates of Change in the Natural and Social Sciences Remember... Average rate of change slope of a secant (between two points) Instantaneous rate of change slope of a tangent derivative We will assume

More information

Table 1 Motion Total Distance Covered Motion A Motion B

Table 1 Motion Total Distance Covered Motion A Motion B And thus, since God is the First Mover, simply, it is by His motion that everything seeks to be likened to God in its own way. Summa Theologica, IIa:Q109,A6 Time (sec) Table 1 Motion Total Distance Covered

More information

Physics 20 Lesson 6 Graphical Analysis Activities

Physics 20 Lesson 6 Graphical Analysis Activities Physics 2 Lesson 6 Graphical Analysis Activities I. Motion Up and Down an Incline Objective: To analyse the motion of an object that moves up and then down an inclined plane (an air table). Materials:

More information

Physics 40 HW #1. Chapter 1

Physics 40 HW #1. Chapter 1 Physics 40 HW # Do these from the Knight but do NOT turn in: Ch : 3 9,, 6; Ch : 4, 6, 0, We will go over the book problems in discussion session so do them neatly to share! The following will be turned

More information

BHASVIC MαTHS. (a) The table shows the number of eggs a bird lays per brood cycle. The mean number of eggs is 1.5. Find the value of p

BHASVIC MαTHS. (a) The table shows the number of eggs a bird lays per brood cycle. The mean number of eggs is 1.5. Find the value of p 1 (a) The table shows the number of eggs a bird lays per brood cycle. The mean number of eggs is 1.5. Find the value of p Eggs 1 2 3 Frequency 7 p 2 (b) From the large data set, the daily mean visibility,

More information

2/18/2019. Position-versus-Time Graphs. Below is a motion diagram, made at 1 frame per minute, of a student walking to school.

2/18/2019. Position-versus-Time Graphs. Below is a motion diagram, made at 1 frame per minute, of a student walking to school. Position-versus-Time Graphs Below is a motion diagram, made at 1 frame per minute, of a student walking to school. A motion diagram is one way to represent the student s motion. Another way is to make

More information

MHF 4U 04 Rates of Change Sampler

MHF 4U 04 Rates of Change Sampler Name: Class: Date: MHF 4U 04 Rates of Change Sampler 1. The tables below shows the concentration of CO 2 in the air in a room over time. The best estimate of the instantaneous rate of change of the CO

More information

Midterm α, Physics 1P21/1P91

Midterm α, Physics 1P21/1P91 Midterm α, Physics 1P21/1P91 Prof. D. Crandles March 1, 2013 Last Name First Name Student ID Circle your course number above No examination aids other than those specified on this examination script are

More information

Friction Can Be Rough

Friction Can Be Rough 10.1 Observe and Find a Pattern Friction Can Be Rough Observe the following experiment: Rest a brick on a rough surface. Tie a string around the brick and attach a large spring scale to it. Pull the scale

More information

Section 2: Acceleration

Section 2: Acceleration : Acceleration Preview Key Ideas Bellringer Acceleration and Motion Calculating Acceleration Math Skills Graphing Accelerated Motion Graphing Skills Essential Questions Section 11-2 1. What is acceleration,

More information

Motion II. Goals and Introduction

Motion II. Goals and Introduction Motion II Goals and Introduction As you have probably already seen in lecture or homework, and if you ve performed the experiment Motion I, it is important to develop a strong understanding of how to model

More information

Chapter 2 Describing Motion: Kinematics in One Dimension

Chapter 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 information

2.1. Model: The car is represented by the particle model as a dot.

2.1. Model: The car is represented by the particle model as a dot. Chapter Physics.. Model: The car is represented by the particle model as a dot. Solve: (a) Time t (s) Position x (m) 0 00 975 85 3 750 4 700 5 650 6 600 7 500 8 300 9 0 (b).8. Model: The bicyclist is a

More information

To summarize the car s velocity information, let the horizontal axis represent time, and the vertical axis represent velocity.

To summarize the car s velocity information, let the horizontal axis represent time, and the vertical axis represent velocity. To summarize the car s velocity information, let the horizontal axis represent time, and the vertical axis represent velocity. The velocity is constant wherever the slope of the distance-vs-time graph

More information

Math 1241, Spring 2014 Section 3.3. Rates of Change Average vs. Instantaneous Rates

Math 1241, Spring 2014 Section 3.3. Rates of Change Average vs. Instantaneous Rates Math 1241, Spring 2014 Section 3.3 Rates of Change Average vs. Instantaneous Rates Average Speed The concept of speed (distance traveled divided by time traveled) is a familiar instance of a rate of change.

More information

Physics 30S Unit 2 Motion Graphs. Mrs. Kornelsen Teulon Collegiate Institute

Physics 30S Unit 2 Motion Graphs. Mrs. Kornelsen Teulon Collegiate Institute Physics 30S Unit 2 Motion Graphs Mrs. Kornelsen Teulon Collegiate Institute 1 Grade 11 Physics Graphing Properties Property d-t Graph v-t Graph a-t Graph Not Moving Does Not Apply Constant Velocity Change

More information

v 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.

v 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 information

Position-versus-Time Graphs

Position-versus-Time Graphs Position-versus-Time Graphs Below is a motion diagram, made at 1 frame per minute, of a student walking to school. A motion diagram is one way to represent the student s motion. Another way is to make

More information

What does the lab partner observe during the instant the student pushes off?

What does the lab partner observe during the instant the student pushes off? Motion Unit Review State Test Questions 1. To create real-time graphs of an object s displacement versus time and velocity versus time, a student would need to use a A motion sensor.b low- g accelerometer.

More information

Save My Exams! The Home of Revision For more awesome GCSE and A level resources, visit us at

Save My Exams! The Home of Revision For more awesome GCSE and A level resources, visit us at Newton s Laws &Weight Question Paper 1 Level Edexcel Subject Physics Exam Board GCSE(9-1) Topic Motions and Forces Sub Topic Newton s Laws & Weight Booklet Question Paper 1 Time Allowed: Score: Percentage:

More information

Motion Section 3 Acceleration

Motion Section 3 Acceleration Section 3 Acceleration Review velocity Scan Use the checklist below to preview Section 3 of your book. Read all section titles. Read all boldfaced words. Read all graphs and equations. Look at all the

More information

Energy Flow in Technological Systems. December 01, 2014

Energy Flow in Technological Systems. December 01, 2014 Energy Flow in Technological Systems Scientific Notation (Exponents) Scientific notation is used when we are dealing with very large or very small numbers. A number placed in scientific notation is made

More information

Calculating Acceleration

Calculating Acceleration Calculating Acceleration Textbook pages 392 405 Before You Read Section 9. 2 Summary How do you think a velocity-time graph might differ from the position-time graph you learned about in the previous chapter?

More information

Kinematics Multiple-Choice Questions

Kinematics 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 information

Level 2 Mathematics and Statistics, 2017

Level 2 Mathematics and Statistics, 2017 91262 912620 2SUPERVISOR S Level 2 Mathematics and Statistics, 2017 91262 Apply calculus methods in solving problems 2.00 p.m. Friday 24 November 2017 Credits: Five Achievement Achievement with Merit Achievement

More information

Kinematics Motion in 1-Dimension

Kinematics Motion in 1-Dimension Kinematics Motion in 1-Dimension Lana Sheridan De Anza College Jan 16, 2018 Last time unit conversions (non-si units) order of magnitude calculations how to solve problems Overview 1-D kinematics quantities

More information

SCIENCE 1206 Unit 3. Physical Science Motion

SCIENCE 1206 Unit 3. Physical Science Motion SCIENCE 1206 Unit 3 Physical Science Motion Section 1: Units, Measurements and Error What is Physics? Physics is the study of motion, matter, energy, and force. Qualitative and Quantitative Descriptions

More information

Jan 31 8:19 PM. Chapter 9: Uniform Rectilinear Motion

Jan 31 8:19 PM. Chapter 9: Uniform Rectilinear Motion Unit 3: Kinematics Uniform Rectilinear Motion (velocity is constant) Uniform Accelerated Rectilinear Motion The Motion of Projectiles Jan 31 8:19 PM Chapter 9: Uniform Rectilinear Motion Position: point

More information

Representing Motion Chapter 2

Representing Motion Chapter 2 Phenomena Representing Motion Chapter 2 Pop Quiz! How fast are you moving at this moment? o A.) 0m/s o B.) 783 mi/h o C.) 350m/s o D.) 30 km/s Pop Quiz! How fast are you moving? oa.) 0m/s ob.) 783 mi/h

More information

BHASVIC MαTHS. Convert the below into the form ax m + bx n : (b) (c) (e) (f)

BHASVIC MαTHS. Convert the below into the form ax m + bx n : (b) (c) (e) (f) Convert the below into the form ax m + bx n : (a) 1+5x 4x 1 (b) 3x 4 x x 3 (c) 4 16x 3 3 27x 3 2x 2 (d) 4 5x 3x 2 (e) (f) 4x 3 1 2x 3 x 4x+ 81x2 9 x 2 Co-ordinate Geometry line The equation of straight

More information

Fall 2008 RED Barcode Here Physics 105, sections 1 and 2 Please write your CID Colton

Fall 2008 RED Barcode Here Physics 105, sections 1 and 2 Please write your CID Colton Fall 008 RED Barcode Here Physics 105, sections 1 and Exam 1 Please write your CID Colton -3669 3 hour time limit. One 3 5 handwritten note card permitted (both sides). Calculators permitted. No books.

More information

Chapter 3 Kinematics

Chapter 3 Kinematics Chapter 3 Kinematics GOALS When you have mastered the content of this chapter, you will be able to achieve the following goals: Definitions Use the following terms to describe the physical state of a system:

More information

Experiment 3. d s = 3-2 t ANALYSIS OF ONE DIMENSIONAL MOTION

Experiment 3. d s = 3-2 t ANALYSIS OF ONE DIMENSIONAL MOTION Experiment 3 ANALYSIS OF ONE DIMENSIONAL MOTION Objectives 1. To establish a mathematical relationship between the position and the velocity of an object in motion. 2. To define the velocity as the change

More information

Numerical method for approximating the solution of an IVP. Euler Algorithm (the simplest approximation method)

Numerical method for approximating the solution of an IVP. Euler Algorithm (the simplest approximation method) Section 2.7 Euler s Method (Computer Approximation) Key Terms/ Ideas: Numerical method for approximating the solution of an IVP Linear Approximation; Tangent Line Euler Algorithm (the simplest approximation

More information

Comment: Unlike distance, displacement takes into consideration the direction of motion from the point of origin (where the object starts to move).

Comment: 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 information

1. In Activity 1-1, part 3, how do you think graph a will differ from graph b? 3. Draw your graph for Prediction 2-1 below:

1. In Activity 1-1, part 3, how do you think graph a will differ from graph b? 3. Draw your graph for Prediction 2-1 below: PRE-LAB PREPARATION SHEET FOR LAB 1: INTRODUCTION TO MOTION (Due at the beginning of Lab 1) Directions: Read over Lab 1 and then answer the following questions about the procedures. 1. In Activity 1-1,

More information

MOTION, DISTANCE, AND DISPLACEMENT Q: What is motion? A: Motion is any change in the position or place of an object. is the study of motion (without

MOTION, DISTANCE, AND DISPLACEMENT Q: What is motion? A: Motion is any change in the position or place of an object. is the study of motion (without MOTION, DISTANCE, AND DISPLACEMENT Q: What is motion? A: Motion is any change in the position or place of an object. is the study of motion (without considering the cause of the motion). Distance vs. Displacement

More information

12/06/2010. Chapter 2 Describing Motion: Kinematics in One Dimension. 2-1 Reference Frames and Displacement. 2-1 Reference Frames and Displacement

12/06/2010. 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 information

If we plot the position of a moving object at increasing time intervals, we get a position time graph. This is sometimes called a distance time graph.

If we plot the position of a moving object at increasing time intervals, we get a position time graph. This is sometimes called a distance time graph. Physics Lecture #2: Position Time Graphs If we plot the position of a moving object at increasing time intervals, we get a position time graph. This is sometimes called a distance time graph. Suppose a

More information

3.4 Solutions.notebook March 24, Horizontal Tangents

3.4 Solutions.notebook March 24, Horizontal Tangents Note Fix From 3.3 Horizontal Tangents Just for fun, sketch y = sin x and then sketch its derivative! What do you notice? More on this later 3.4 Velocity and Other Rates of Change A typical graph of the

More information

Introduction to Kinematics. Motion, Forces and Energy

Introduction to Kinematics. Motion, Forces and Energy Introduction to Kinematics Motion, Forces and Energy Mechanics: The study of motion Kinematics The description of how things move 1-D and 2-D motion Dynamics The study of the forces that cause motion Newton

More information

Mathematics AQA Advanced Subsidiary GCE Core 1 (MPC1) January 2010

Mathematics AQA Advanced Subsidiary GCE Core 1 (MPC1) January 2010 Link to past paper on AQA website: http://store.aqa.org.uk/qual/gce/pdf/aqa-mpc1-w-qp-jan10.pdf These solutions are for your personal use only. DO NOT photocopy or pass on to third parties. If you are

More information

General 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. 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 information

PHYS.1410 Physics I Exam 1 Spring 2016 (version A)

PHYS.1410 Physics I Exam 1 Spring 2016 (version A) PHYS.1410 Physics I Exam 1 Spring 016 (version A) Recitation Section Number Name (PRINT) / LAST FIRST Last 3 Digits of Student ID Number: Fill out the above section of this page and print your last name

More information

Driveway Races Acceleration

Driveway Races Acceleration Driveway Races Acceleration You may notice that when things move they rarely move at the same speed all the time. Especially when you drive, you can see right away that your speed is constantly changing.

More information

Sections 2.1, 2.2 and 2.4: Limit of a function Motivation:

Sections 2.1, 2.2 and 2.4: Limit of a function Motivation: Sections 2.1, 2.2 and 2.4: Limit of a function Motivation: There are expressions which can be computed only using Algebra, meaning only using the operations +,, and. Examples which can be computed using

More information

Lecture 2. 1D motion with Constant Acceleration. Vertical Motion.

Lecture 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 information

Introduction to 1-D Motion Distance versus Displacement

Introduction 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 information

Potential and Kinetic Energy

Potential and Kinetic Energy Lab VII Potential and Kinetic Energy 1 Introduction This is a lab about the interplay between kinetic and potential energy. While we can calculate forces and accelerations of an object as it moves along

More information

Physics 2080 Extra Credit Due March 15, 2011

Physics 2080 Extra Credit Due March 15, 2011 Physics 2080 Extra Credit Due March 15, 2011 This assignment covers chapters 15-19 and is worth 10 points extra credit on the final exam. Print these pages and do all work here. Complete the questions

More information

Forces & Newton s Laws FR Practice Problems

Forces & Newton s Laws FR Practice Problems 1) A drag-racing car speeds up from rest to 22 m/s in 2 s. The car has mass 800 kg; the driver has mass 80 kg. a) Calculate the acceleration of the car. b) Calculate the net force on the car. c) Which

More information

SOLUTIONS Workshop 2: Reading Graphs, Motion in 1-D

SOLUTIONS Workshop 2: Reading Graphs, Motion in 1-D SOLUTIONS Workshop 2: Reading Graphs, Motion in 1-D Question 2. Dueling Position Graphs This set of questions gets at a common confusion the difference between position and velocity on position graphs.

More information

Section 1.4 Tangents and Velocity

Section 1.4 Tangents and Velocity Math 132 Tangents and Velocity Section 1.4 Section 1.4 Tangents and Velocity Tangent Lines A tangent line to a curve is a line that just touches the curve. In terms of a circle, the definition is very

More information

(c) curved track. direction of motion Fig. 1.2 State the effect that this force has on the motion... (iii) ... State how this force is provided. ...

(c) curved track. direction of motion Fig. 1.2 State the effect that this force has on the motion... (iii) ... State how this force is provided. ... 2 (c) As the train is driven round the bend, there is an extra force acting, called the centripetal force. (i) On Fig. 1.2, draw an arrow to show the direction of this force. train curved track direction

More information

Kinematics. Chapter 2. Position-Time Graph. Position

Kinematics. 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 information

M1. (a) increases 1. increases 1. (c) (i) all points correctly plotted all to ± ½ small square one error = 1 mark two or more errors = 0 marks 2

M1. (a) increases 1. increases 1. (c) (i) all points correctly plotted all to ± ½ small square one error = 1 mark two or more errors = 0 marks 2 M. (a) increases increases (b) 3 (m) accept 43 circled for mark accept 9 + 4 for mark (c) (i) all points correctly plotted all to ± ½ small square one error = mark two or more errors = 0 marks line of

More information

UNIT 6 DESCRIBING DATA Lesson 2: Working with Two Variables. Instruction. Guided Practice Example 1

UNIT 6 DESCRIBING DATA Lesson 2: Working with Two Variables. Instruction. Guided Practice Example 1 Guided Practice Eample 1 Andrew wants to estimate his gas mileage, or miles traveled per gallon of gas used. He records the number of gallons of gas he purchased and the total miles he traveled with that

More information

Section 11.1 Distance and Displacement (pages )

Section 11.1 Distance and Displacement (pages ) Name Class Date Section 11.1 Distance and Displacement (pages 328 331) This section defines distance and displacement. Methods of describing motion are presented. Vector addition and subtraction are introduced.

More information

MAINIDEA Write the Main Idea for this section. Explain why the slope of a velocity-time graph is the average acceleration of the object.

MAINIDEA Write the Main Idea for this section. Explain why the slope of a velocity-time graph is the average acceleration of the object. Accelerated Motion 2 Motion with Constant Acceleration 4(A), 4(B) MAINIDEA Write the Main Idea for this section. REVIEW VOCABULARY displacement Recall and write the definition of the Review Vocabulary

More information

170 Test example problems CH1,2,3

170 Test example problems CH1,2,3 170 Test example problems CH1,2,3 WARNING: these are simply examples that showed up in previous semesters test. It does NOT mean that similar problems will be present in THIS semester s test. Hence, you

More information

Measuring Motion. Day 1

Measuring Motion. Day 1 Measuring Motion Day 1 Objectives I will identify the relationship between motion and a reference point I will identify the two factors that speed depends on I will determine the difference between speed

More information

Physics General Physics. Lecture 3 Newtonian Mechanics. Fall 2016 Semester. Prof. Matthew Jones

Physics General Physics. Lecture 3 Newtonian Mechanics. Fall 2016 Semester. Prof. Matthew Jones Physics 22000 General Physics Lecture 3 Newtonian Mechanics Fall 2016 Semester Prof. Matthew Jones 1 Review of Lectures 1 and 2 In the previous lectures we learned how to describe some special types of

More information

# x = v f + v & % ( t x = v

# x = v f + v & % ( t x = v Name: Physics Chapter 4 Study Guide ----------------------------------------------------------------------------------------------------- Useful Information: F = ma µ = F fric a = v f " v i t # x = v f

More information

Introduction to Kinematics. Motion, Forces and Energy

Introduction to Kinematics. Motion, Forces and Energy Introduction to Kinematics Motion, Forces and Energy Mechanics: The study of motion Kinematics The description of how things move 1-D and 2-D motion Dynamics The study of the forces that cause motion Newton

More information

Clock Reading (t) Position (x) Clock Reading (t) Position (x)

Clock Reading (t) Position (x) Clock Reading (t) Position (x) How Fast are you Moving? 2.1 Observe and represent Find a starting position on the floor. You will need to use 2 cars for this experiment (try to use one fast and one slow). Practice releasing the car

More information

Q16.: A 5.0 kg block is lowered with a downward acceleration of 2.8 m/s 2 by means of a rope. The force of the block on the rope is:(35 N, down)

Q16.: A 5.0 kg block is lowered with a downward acceleration of 2.8 m/s 2 by means of a rope. The force of the block on the rope is:(35 N, down) Old Exam Question Ch. 5 T072 Q13.Two blocks of mass m 1 = 24.0 kg and m 2, respectively, are connected by a light string that passes over a massless pulley as shown in Fig. 2. If the tension in the string

More information

Level 2 Mathematics and Statistics, 2016

Level 2 Mathematics and Statistics, 2016 91262 912620 2SUPERVISOR S Level 2 Mathematics and Statistics, 2016 91262 Apply calculus methods in solving problems 9.30 a.m. Thursday 24 November 2016 Credits: Five Achievement Achievement with Merit

More information

a) Use the graph above and calculate the slope of the line for each case. Explain how you calculated the slope. How is the slope similar to the index?

a) Use the graph above and calculate the slope of the line for each case. Explain how you calculated the slope. How is the slope similar to the index? Slopes and Expressions: Speed and Velocity 5.1 Observe and Represent Another way of comparing trend lines is by calculating the slope of each line and comparing the numerical values of the slopes. a) Use

More information

Physics I Exam 1 Fall 2014 (version A)

Physics I Exam 1 Fall 2014 (version A) 95.141 Physics I Exam 1 Fall 014 (version A) Section Number Section instructor Last/First Name (print) / Last 3 Digits of Student ID Number: Answer all questions, beginning each new question in the space

More information

Answers to SNC 2DI Exam Review: Motion Unit 1. Understand the meaning of the following terms. Be able to recognize their definitions:

Answers to SNC 2DI Exam Review: Motion Unit 1. Understand the meaning of the following terms. Be able to recognize their definitions: Answers to SNC 2DI Exam Review: Motion Unit 1. Understand the meaning of the following terms. Be able to recognize their definitions: Physics Time Acceleration Kinetic energy Average speed Negative acceleration

More information

8.1 THE LANGUAGE OF MOTION

8.1 THE LANGUAGE OF MOTION Unit 3 Motion 8.1 THE LANGUAGE OF MOTION 8.1 LEARNING OUTCOMES Vector quantities, such as displacement and velocity, have both a magnitude and a direction. An object in uniform motion will travel equal

More information

Final Review Topics, Terms, Labs, and Relationships Definitions Independent Variable:

Final Review Topics, Terms, Labs, and Relationships Definitions Independent Variable: Final Review Topics, Terms, Labs, and Relationships Definitions Independent Variable: Dependent Variable: Controlled Variable: Sample Data Table: Sample Graph: Graph shapes and Variable Relationships (written

More information

Physics #1 - Motion Notebook

Physics #1 - Motion Notebook Name Hour Group # Test Date Physics #1 - Motion Notebook Physics #1 - LEARNING Targets Physics #1 Vocabulary: You re The Scientist #1 Getting to Know a Physicist! You will research a physicist and create

More information

Chapter 3. Motion in One Dimension

Chapter 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 information

Motion along a straight line. Physics 11a. 4 Basic Quantities in Kinematics. Motion

Motion along a straight line. Physics 11a. 4 Basic Quantities in Kinematics. Motion Physics 11a Motion along a straight line Motion Position and Average velocity and average speed Instantaneous velocity and speed Acceleration Constant acceleration: A special case Free fall acceleration

More information

Lesson 14: Friction. a) Fill in the table that follows by constructing a force diagram for the block (the system) for these five situations.

Lesson 14: Friction. a) Fill in the table that follows by constructing a force diagram for the block (the system) for these five situations. Lesson 14: Friction 14.1 Observe and Find a Pattern Perform the following experiment: Rest a wooden block (or some other object, like your shoe) on a table. Attach a large spring scale to a string attached

More information