# Welcome back to Physics 211

Save this PDF as:

Size: px
Start display at page:

## Transcription

1 Welcome back to Physics 211 The room is very full please move toward the center and help others find a seat. Be patient. The registration database is only updated twice per week. Get to know the people next to you, and work with them on the clicker questions during class. You will enjoy yourself and learn more. If you need to work on your laptop during the lecture, please sit at the back of the room so you don t distract other students. Office Hours

3 Lets do a quick recap of calculus concepts from last lecture

4 Differentiating is just finding the Slope x(t) evaluated at t 1 In other words, v(t 1 ) tells us how x(t) is changing at time t 1. t 1 t 28

5 Integrating is just finding the Area v(t) v 0 t i t f t How does this tell you distance? This is easy to see if you start by considering the case of constant velocity v 0. In this case the integral is easy to evaluate: v(t) v 0 = velocity x time t i t f t 42

6 Today's Concepts: a) Vectors b) Projectile motion c) Reference frames Physics 211 Lecture 2

7 Vectors A Think of a vector as an arrow. (An object having both magnitude and direction)

8 Vectors A y A A x Think of a vector as an arrow. (An object having both magnitude and direction) The object is the same no matter how we chose to describe it

9 Vectors q A Think of a vector as an arrow. (An object having both magnitude and direction) The object is the same no matter how we chose to describe it

10 Vector Addition Personally, I found the vector concepts harder to grasp. From what I remembered, my high school teacher didn't go deep into the concept besides basic addition and subtraction.

11 Clicker Question A B Vectors and are shown to the right. Which of the following best describes + A B A B A B C D E

12 Clicker Question A B Vectors and are shown to the right. Which of the following best describes - A B A B A B C D E

13 Another way to think of subtraction A B Vectors and are shown to the right. Which of the following best describes - A B A B 1) Put vectors tail to tail A B B 2) is the vector pointing from the head of to the head of A

14 Vectors in 3D A vector can be defined in 2 or 3 (or even more) dimensions:

15 Kinematics in 3D Three directions are independent but share time

16 Projectile Motion What situations would we use the third dimension(z)in? I am having trouble picturing a problem since I have always used only x and y in 2-D. Also have trouble understanding what the i, j, and k are. Horizontal Vertical Boring

17 Checkpoint A physics demo launches one marble horizontally while at the same instant dropping a second marble straight down. Which one hits the ground first? A) The launched marble hits first. B) The dropped marble hits first. C) They both hit at the same time. I would like you to bring in an apparatus that matches the description of the one used in Checkpoint 1 "Ball Launch". DEMO

18 I wanted to ask something. That bullet thing, that whether it is fired from a gun or allowed to free fall from same height will take same time to reach the ground. Is that really true.? It does't seem true at all in real life. Like, a fired bullet goes straight for who knows how long but the free falling one will, well, fall down almost instantly. Mechanics Lecture 2,

19 Train Demo A flatbed railroad car is moving along a track at constant velocity. A passenger at the center of the car throws a ball straight up. Neglecting air resistance, where will the ball land? A) Forward of the center of the car B) At the center of the car C) Backward of the center of the car correct v train car Ball and car start with same x position and x velocity, Since a x = 0 they always have same x position. Demo - train

20 vtrain car

21 Projectile Motion & Frames of Reference Time spent in air depends on vertical motion!

22 Monkey Troubles You are a vet trying to shoot a tranquilizer dart into a monkey hanging from a branch in a distant tree. You know that the monkey is very nervous, and will let go of the branch and start to fall as soon as your gun goes off. In order to hit the monkey with the dart, where should you point the gun before shooting? A) Right at the monkey B) Below the monkey C) Above the monkey

23 Shooting the Monkey Dart x = v o t 1 y = - gt 2 2 Monkey x = x o 1 y = - gt 2 2

24 Shooting the Monkey Still works even if you shoot upwards! y = y o - 1 / 2 g t 2 x = v ox t y = v oy t - 1 / 2 g t 2 Dart hits the monkey

25 The Ship Problems I find problems without being given hard numbers to be more challenging. I would really like to see some actual problems with numbers being worked out in lecture. I think I understand the concepts, but only by going through problems with numerical solutions will I be able to tell if I firmly grasp the concepts. Mechanics Lecture 2,

26 Checkpoint A destroyer simultaneously fires two shells with the same initial speed at two different enemy ships. The shells follow the trajectories shown. Which ship gets hit first. Destroyer Enemy 1 Enemy 2 A) Enemy 1 B) Enemy 2 C) They are both hit at the same time

27 Checkpoint Which enemy ship gets hit first? A) Enemy 1 B) Enemy 2 C) Same Destroyer Enemy 1 Enemy 2 A) The distance to Enemy 1 is less than the distance to Enemy 2 B) The projectile for enemy ship two has a smaller initial vertical velocity; therefore, it will be in the air for the shortest time and land first. C) it should be the same because they were shells were fired at the same initial speed.

28 Checkpoint A destroyer fires two shells with different initial speeds at two different enemy ships. The shells follow the trajectories shown. Which enemy ship gets hit first? Destroyer Enemy 1 Enemy 2 A) Enemy 1 B) Enemy 2 C) They are both hit at the same time Unless I made a mistake, the last question is missing necessary information (e.g. the two shells hit the same peak altitude) which must be assumed from the drawing, which I have always been told to not trust unless it something is explicitly stated.

29 Checkpoint Which enemy ship gets hit first? A) Enemy 1 B) Enemy 2 C) Same Destroyer Enemy 1 Enemy 2 A) The x-distance of enemy 1 is less than enemy 2. B) Because the angle is lesser. C) Both shells have the same max height, thus spend the same amount of time in the air.

30 Field Goal Example A field goal kicker can kick the ball 30 m/s at an angle of 30 degrees w.r.t. the ground. If the crossbar of the goal post is 3m off the ground, from how far away can he kick a field goal? y x 3 m D y-direction v oy = v o sin(30 o ) = 15 m/s y = y o + v oy t + ½ at 2 3 m = 0 m + (15 m/s) t ½ (9.8 m/s 2 ) t 2 t = 2.8 s or t = 0.22 s. x-direction v ox = v o cos(30 o ) = 26 m/s D = x o + v ox t + ½ at 2 = 0 m + (26 m/s)(2.8 s) + 0 m/s 2 (2.8 s ) 2 = 72.8 m Could you go over the equations used in the soccer ball problem in the PreLecture? I'm not sure where they're getting these from.

### 2. 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

### Projectile motion. Objectives. Assessment. Assessment. Equations. Physics terms 5/20/14. Identify examples of projectile motion.

Projectile motion Objectives Identify examples of projectile motion. Solve projectile motion problems. problems Graph the motion of a projectile. 1. Which of the events described below cannot be an example

### GALILEAN RELATIVITY. Projectile motion. The Principle of Relativity

GALILEAN RELATIVITY Projectile motion The Principle of Relativity When we think of the term relativity, the person who comes immediately to mind is of course Einstein. Galileo actually understood what

### PHY 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

### Your Thoughts. What is the difference between elastic collision and inelastic collision?

Your Thoughts This seemed pretty easy...before we got the checkpoint questions What is the difference between elastic collision and inelastic collision? The most confusing part of the pre lecture was the

### Topic 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

### Unit 2 Projectile Motion

Name: Hr: Unit 2 Projectile Motion Vocabulary Projectile: a moving object that is acted upon only by the earth s gravity A projectile may start at a given height and move toward the ground in an arc. For

Stuff you asked about: Instrumental illness Can you go over the change in momentum with respect to the change in time being used to calcuate the net force in depth more during the lecture. We never really

### Chapter 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

### Projectile Motion. Practice test Reminder: test Feb 8, 7-10pm! me if you have conflicts! Your intuitive understanding of the Physical world

v a = -9.8 m/s Projectile Motion Good practice problems in book: 3.3, 3.5, 3.7, 3.9, 3.31, 3.33, 3.43, 3.47, 3.51, 3.53, 3.55 Practice test Reminder: test Feb 8, 7-10pm! Email me if you have conflicts!

### Vocabulary 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

### Projectile 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

### Chapter 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!

### Chap. 3: Kinematics (2D) Recap: Kinematics (1D) 1. Vector Kinematics 2. Projectile Motion 3. Uniform Circular Motion 4.

Chap. 3: Kinematics (2D) Recap: Kinematics (1D) 1. Vector Kinematics 2. Projectile Motion 3. Uniform Circular Motion 4. Relative Velocity 1 Last, This and Next Weeks [Last Week] Chap. 1 and Chap. 2 [This

### Motion in Two Dimensions Teacher s Guide

Motion in Two Dimensions Teacher s Guide Objectives: 1. Use kinematic equations for motion in two dimensions to determine the range of a projectile.. Use the equation for torque to determine at what point

### MOTION OF A PROJECTILE

MOTION OF A PROJECTILE Today s Objectives: Students will be able to: 1. Analyze the free-flight motion of a projectile. In-Class Activities: Check Homework Reading Quiz Applications Kinematic Equations

### Chapter 3 Acceleration

Chapter 3 Acceleration Slide 3-1 PackBack The first answer gives a good physical picture. The video was nice, and worth the second answer. https://www.youtube.com/w atch?v=m57cimnj7fc Slide 3-2 Slide 3-3

### MOTION OF A PROJECTILE

MOTION OF A PROJECTILE Today s Objectives: Students will be able to: 1. Analyze the free-flight motion of a projectile. In-Class Activities: Check Homework Reading Quiz Applications Kinematic Equations

### Last 6 lectures are easier

Your Comments I love you. Seriously. I do. And you never post it. I felt really bad whilst completing the checkpoint for this. This stuff is way above my head and I struggled with the concept of precession.

Nutcracker Your Comments I don't understand the pressure differences in different sized pipes. To me, I would think that a pipe with a larger diameter has the smaller pressure and a skinnier pipe has a

### Lab 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,

### Trigonometry 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?

### Welcome to Physics 211! General Physics I

Welcome to Physics 211! General Physics I Physics 211 Fall 2015 Lecture 01-1 1 Physics 215 Honors & Majors Are you interested in becoming a physics major? Do you have a strong background in physics and

### Kinematics 2D ~ Lab. Part 1: Type 1 Projectile Launch. BCLN PHYSICS - Rev. Sept/2011

Kinematics 2D ~ Lab Name: Instructions: Using a pencil, answer the following questions. The lab is marked based on clarity of responses, completeness, neatness, and accuracy. Do your best! Part 1: Type

### Break problems down into 1-d components

Motion in 2-d Up until now, we have only been dealing with motion in one-dimension. However, now we have the tools in place to deal with motion in multiple dimensions. We have seen how vectors can be broken

### Vectors. Graphical Method. Graphical Method. SEEMS SIMPLE? = 30.5 m/s. Graphical Method. Graphical Method (TIP TO TAIL) S

Vectors Graphical Method General discussion. Vector - A quantity which has magnitude and direction. Velocity, acceleration, Force, E Field, Mag Field, calar - A quantity which has magnitude only. (temp,

### INTRODUCTION & RECTILINEAR KINEMATICS: CONTINUOUS MOTION

INTRODUCTION & RECTILINEAR KINEMATICS: CONTINUOUS MOTION (Sections 12.1-12.2) Today s Objectives: Students will be able to find the kinematic quantities (position, displacement, velocity, and acceleration)

### Your Thoughts. Mechanics Lecture 11, Slide 1

Your Thoughts Honestly, I'm finding this class a bit difficult to keep up with especially coming straight off that midterm, although it wasn't bad. There's a lot going on and I understand that, that's

### AP Physics B Summer Assignment Packet 3

AP Physics B Summer Assignment Packet 3 The assignments included here are to be brought to the first day of class to be submitted. They are: Problems from Conceptual Physics Find the Mistake Straightening

### Chapter 4 Kinematics II: Motion in Two and Three Dimensions

Chapter 4 Kinematics II: Motion in Two and Three Dimensions Demonstrations: 1) Ball falls down and another falls out 2) Parabolic and straight line motion from two different frames. The truck with a dropping

### Kinematics 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

### Vectors. Vector Practice Problems: Odd-numbered problems from

Vectors Vector Practice Problems: Odd-numbered problems from 3.1-3.21 After today, you should be able to: Understand vector notation Use basic trigonometry in order to find the x and y components of a

### Projectile Motion. v = v 2 + ( v 1 )

What do the following situations have in common? Projectile Motion A monkey jumps from the branch of one tree to the branch of an adjacent tree. A snowboarder glides at top speed off the end of a ramp

### 3.4 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,

### Motion 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

### Chapter 2: Motion in One Dimension

Chapter : Motion in One Dimension Review: velocity can either be constant or changing. What is the mathematical meaning of v avg? The equation of a straight line is y = mx + b. From the definition of average

Your Comments I love physics as much as the next gal, but I was wondering. Why don't we get class off the day after an evening exam? What if the ladder has friction with the wall? Things were complicated

### Welcome Back to Physics 211!

Welcome Back to Physics 211! (General Physics I) Thurs. Aug 30 th, 2012 Physics 211 -Fall 2014 Lecture01-2 1 Last time: Syllabus, mechanics survey Unit conversions Today: Using your clicker 1D displacement,

### DIFFERENTIAL EQUATIONS

DIFFERENTIAL EQUATIONS Basic Concepts Paul Dawkins Table of Contents Preface... Basic Concepts... 1 Introduction... 1 Definitions... Direction Fields... 8 Final Thoughts...19 007 Paul Dawkins i http://tutorial.math.lamar.edu/terms.aspx

### PH Fall - Section 04 - Version A DRAFT

1. A truck (traveling in a straight line), starts from rest and accelerates to 30 m/s in 20 seconds. It cruises along at that constant speed for one minute, then brakes, coming to a stop in 25 m. Determine

### Phys207: Lecture 04. Today s Agenda 3-D Kinematics Independence of x and y components Baseball projectile Shoot the monkey Uniform circular motion

Phys7: Lecture 4 Reminders All Discussion and Lab sections start meetin this week Homework is posted on course website Solutions to preious hwks will be posted Thursday mornins Today s Aenda 3-D Kinematics

### Kinematics and Dynamics

AP PHYS 1 Test Review Kinematics and Dynamics Name: Other Useful Site: http://www.aplusphysics.com/ap1/ap1- supp.html 2015-16 AP Physics: Kinematics Study Guide The study guide will help you review all

### Chapter 3 Vectors Worksheets. 1. Find the X and Y components of the following: A. 35 m/s at 57 from the x-axis. [X: 19.1 m/s Y: 29.

Chapter 3 Vectors Worksheets 1. Find the X and Y components of the following: A. 35 m/s at 57 from the x-axis. B. 12 m/s at 34 S of W [X: 19.1 m/s Y: 29.4 m/s] C. 8 m/s South [X: -10 m/s Y: -6.7 m/s] D.

### Lab 4: Projectile Motion

59 Name Date Partners OVEVIEW Lab 4: Projectile Motion We learn in our study of kinematics that two-dimensional motion is a straightforward extension of one-dimensional motion. Projectile motion under

### Lesson 8: Velocity. Displacement & Time

Lesson 8: Velocity Two branches in physics examine the motion of objects: Kinematics: describes the motion of objects, without looking at the cause of the motion (kinematics is the first unit of Physics

### University of Maryland Department of Physics

University of Maryland Department of Physics Physics 131 Fall 2011 Sample problems Exam 2 (25 points) Using a rope of negligible mass, a box is pulled along a horizontal surface as shown in the figure

### Two-Dimensional Motion Worksheet

Name Pd Date Two-Dimensional Motion Worksheet Because perpendicular vectors are independent of each other we can use the kinematic equations to analyze the vertical (y) and horizontal (x) components of

### Position, Speed and Velocity Position is a variable that gives your location relative to an origin. The origin is the place where position equals 0.

Position, Speed and Velocity Position is a variable that gives your location relative to an origin. The origin is the place where position equals 0. The position of this car at 50 cm describes where the

### Figure 5.1: Force is the only action that has the ability to change motion. Without force, the motion of an object cannot be started or changed.

5.1 Newton s First Law Sir Isaac Newton, an English physicist and mathematician, was one of the most brilliant scientists in history. Before the age of thirty he had made many important discoveries in

### Newton s Laws of Motion

3 Newton s Laws of Motion Key Concept Newton s laws of motion describe the relationship between forces and the motion of an object. What You Will Learn Newton s first law of motion states that the motion

### Lab 5: Projectile Motion

Lab 5 Projectile Motion 47 Name Date Partners Lab 5: Projectile Motion OVERVIEW We learn in our study of kinematics that two-dimensional motion is a straightforward application of onedimensional motion.

### Projectiles: Target Practice Teacher Advanced Version

Projectiles: Target Practice Teacher Advanced Version In this lab you will shoot a chopstick across the room with a rubber band and measure how different variables affect the distance it flies. You will

### Energy Problem Solving Techniques.

1 Energy Problem Solving Techniques www.njctl.org 2 Table of Contents Introduction Gravitational Potential Energy Problem Solving GPE, KE and EPE Problem Solving Conservation of Energy Problem Solving

(numerical value) In calculating, you will find the total distance traveled. Displacement problems will find the distance from the starting point to the ending point. *Calculate the total amount traveled

### Isaac Newton was a British scientist whose accomplishments

E8 Newton s Laws of Motion R EA D I N G Isaac Newton was a British scientist whose accomplishments included important discoveries about light, motion, and gravity. You may have heard the legend about how

### PHYSICS. Chapter 5 Lecture FOR SCIENTISTS AND ENGINEERS A STRATEGIC APPROACH 4/E RANDALL D. KNIGHT Pearson Education, Inc.

PHYSICS FOR SCIENTISTS AND ENGINEERS A STRATEGIC APPROACH 4/E Chapter 5 Lecture RANDALL D. KNIGHT Chapter 5 Force and Motion IN THIS CHAPTER, you will learn about the connection between force and motion.

### Lab 3 Acceleration. What You Need To Know: Physics 211 Lab

b Lab 3 Acceleration Physics 211 Lab What You Need To Know: The Physics In the previous lab you learned that the velocity of an object can be determined by finding the slope of the object s position vs.

### Circular Motion and Gravitation Notes 1 Centripetal Acceleration and Force

Circular Motion and Gravitation Notes 1 Centripetal Acceleration and Force This unit we will investigate the special case of kinematics and dynamics of objects in uniform circular motion. First let s consider

### PHYS 100: Lecture 4 PROJECTILE MOTION. y = (v 0 /v T ) x (g/2v T2 )x 2. Velocity of Train v T. Physics 100 Lecture 4, Slide y(m)

PHYS : Lecture 4 PROJECTILE MOTION.4. Velocity of Train T y(m).8.6.4. 5 5 x(m) y ( / T ) x (/ T )x Physics Lecture 4, Slide Music Who is the Artist? A) Miles Dais B) Wynton Marsalis C) Chris Botti D) Nina

### Projectile Motion. x = v ox t (1)

Projectile Motion Theory Projectile motion is the combination of different motions in the x and y directions. In the x direction, which is taken as parallel to the surface of the earth, the projectile

### MITOCW watch?v=poho4pztw78

MITOCW watch?v=poho4pztw78 GILBERT STRANG: OK. So this is a video in which we go for second-order equations, constant coefficients. We look for the impulse response, the key function in this whole business,

### Graphing Motion Part 2

Kinematics 2: Motion Graphs & Free Fall Sep 5 10:34 AM Sep 5 1:25 PM Graphing Motion Part 2 How do you calculate the slope of a line? What would the slope of a distance vs time graph represent? What would

### Chapter 3: Vectors and Projectile Motion

Chapter 3: Vectors and Projectile Motion Vectors and Scalars You might remember from math class the term vector. We define a vector as something with both magnitude and direction. For example, 15 meters/second

Stuff you asked about: I'm so excited to walk to Loomis in -25 degree weather. I can't wait. I might not even fall asleep tonight out of anticipation. Oh centripetal acceleration, my old nemesis. Will

### Physics Motion Math. (Read objectives on screen.)

Physics 302 - Motion Math (Read objectives on screen.) Welcome back. When we ended the last program, your teacher gave you some motion graphs to interpret. For each section, you were to describe the motion

### MITOCW free_body_diagrams

MITOCW free_body_diagrams This is a bungee jumper at the bottom of his trajectory. This is a pack of dogs pulling a sled. And this is a golf ball about to be struck. All of these scenarios can be represented

### Isaac Newton was a British scientist whose accomplishments

E8 Newton s Laws of Motion R EA D I N G Isaac Newton was a British scientist whose accomplishments included important discoveries about light, motion, and gravity. You may have heard the legend about how

### Vectors and Coordinate Systems

Vectors and Coordinate Systems In Newtonian mechanics, we want to understand how material bodies interact with each other and how this affects their motion through space. In order to be able to make quantitative

### Physics 303 Motion of Falling Objects

Physics 303 Motion of Falling Objects Before we start today s lesson, we need to clear up some items from our last program. First of all, did you find out if Justin Time was speeding or not? It turns out

### Physic 231 Lecture 5. Main points of today s lecture: Addition i of velocities. Newton s 1 st law: Newton s 2 nd law: F = ma

Physic 3 Lecture 5 Main points of today s lecture: Addition i of velocities i v = v + vt v is the velocity in the "stationary" frame v is the velocity in the " moving"frame v t is the velocity of the "

### Chapter 2 Motion in One Dimension. Slide 2-1

Chapter 2 Motion in One Dimension Slide 2-1 MasteringPhysics, PackBack Answers You should be on both by now. MasteringPhysics first reading quiz Wednesday PackBack should have email & be signed up 2014

### 2. Relative and Circular Motion

2. Relative and Circular Motion A) Overview We will begin with a discussion of relative motion in one dimension. We will describe this motion in terms of displacement and velocity vectors which will allow

### Chapter Seven Notes: Newton s Third Law of Motion Action and Reaction

Chapter Seven Notes: Newton s Third Law of Motion Action and Reaction A force is always part of a mutual action that involves another force. A mutual action is an interaction between one thing and another

### Math 2250 Lab #1 : Tennis Ball Missile Defense

Math 2250 Lab #1 : Tennis Ball Missile Defense 1. INTRODUCTION TO THE LAB PROGRAM. Here are some general notes and ideas which will help you with the lab. The purpose of the lab program is to expose you

### Principles and Problems. Chapter 6: Motion in Two Dimensions

PHYSICS Principles and Problems Chapter 6: Motion in Two Dimensions CHAPTER 6 Motion in Two Dimensions BIG IDEA You can use vectors and Newton s laws to describe projectile motion and circular motion.

### Free-Body Diagrams: Introduction

Free-Body Diagrams: Introduction Learning Goal: To learn to draw free-body diagrams for various real-life situations. Imagine that you are given a description of a real-life situation and are asked to

### Hour Exam 1 Average 76.5% (no scaling) Mechanics Lecture 12, Slide 2

Your Comments This entire prelecture/checkpoint confused me, but especially the double mass but half speed checkpoint. Hey kid in Seat D23, your shoe is untied! Switching reference frames makes this way

### Student: We have to buy a new access code? I'm afraid you have to buy a new one. Talk to the bookstore about that.

Physics 1-21-09 Wednesday Daily Homework Statistics 118 Responses Mean: 0.944 Median: 0.96 Do we want to turn the front lights off? This okay? A friend of mine used to visit a psychology class back in

### Projectile and Circular Motion Review Packet

Conceptual Physics Projectile and Circular Motion Review Packet Mr. Zimmerman Textbook Reference: pp. 33-42, 122-135 Key Terms (fill in definitions) projectile - any object that moves through the air or

### Exam 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

### MITOCW MIT8_01F16_W01PS05_360p

MITOCW MIT8_01F16_W01PS05_360p You're standing at a traffic intersection. And you start to accelerate when the light turns green. Suppose that your acceleration as a function of time is a constant for

### INTRODUCTION. 3. Two-Dimensional Kinematics

INTRODUCTION We now extend our study of kinematics to motion in two dimensions (x and y axes) This will help in the study of such phenomena as projectile motion Projectile motion is the study of objects

### INTRODUCING NEWTON TO SECONDARY SCHOOL STUDENTS

INTRODUCING NEWTON TO SECONDARY SCHOOL STUDENTS K. P. Mohanan and Tara Mohanan This write-up is a draft that could serve as a starting point for a project. The goal of the project is to design learning

### TEACHER BACKGROUND INFORMATION FORCE

TEACHER BACKGROUND INFORMATION FORCE WHAT IS FORCE? Force is anything that can change the state of motion of a body. In simpler terms, force is a push or a pull. For example, wind pushing on a flag is

### 3rd Grade. Forces and Motion Review. Slide 1 / 106 Slide 2 / 106. Slide 4 / 106. Slide 3 / 106. Slide 5 / 106. Slide 6 / 106. Motion and Stability

Slide 1 / 106 Slide 2 / 106 3rd Grade Motion and Stability 2015-11-09 www.njctl.org Slide 3 / 106 Slide 4 / 106 Table of Contents Forces and Motion Review Balanced and Unbalanced Forces Motion prediction

### MITOCW 8. Electromagnetic Waves in a Vacuum

MITOCW 8. Electromagnetic Waves in a Vacuum The following content is provided under a Creative Commons license. Your support will help MIT OpenCourseWare continue to offer high-quality educational resources

### Name Class Date. height. Which ball would land first according to Aristotle? Explain.

Skills Worksheet Directed Reading A Section: Gravity and Motion 1. Suppose a baseball and a marble are dropped at the same time from the same height. Which ball would land first according to Aristotle?

### Physics 30S Unit 1 Kinematics

Physics 30S Unit 1 Kinematics Mrs. Kornelsen Teulon Collegiate Institute 1 P a g e Grade 11 Physics Math Basics Answer the following questions. Round all final answers to 2 decimal places. Algebra 1. Rearrange

### Unit 10 Parametric and Polar Equations - Classwork

Unit 10 Parametric and Polar Equations - Classwork Until now, we have been representing graphs by single equations involving variables x and y. We will now study problems with which 3 variables are used

### ( )( b + c) = ab + ac, but it can also be ( )( a) = ba + ca. Let s use the distributive property on a couple of

Factoring Review for Algebra II The saddest thing about not doing well in Algebra II is that almost any math teacher can tell you going into it what s going to trip you up. One of the first things they

### The 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

### Physics 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

### Demo: 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

### Exam Review and Friction

Exam Review and Friction Announcements: Exam Thursday at 7:30pm Bring a #2 pencil Will be long answer questions in addition to multiple choice Room assignments will be on web page (Exam info) Calculators

### Special relativity. Announcements:

Announcements: Special relativity Homework solutions will soon be CULearn Homework set 1 returned today. Homework #2 is due today. Homework #3 is posted due next Wed. First midterm is 2 weeks from tomorrow.

### PH Fall - Section 05 - Version C DRAFT

1. A truck (traveling in a straight line), starts from rest and accelerates to 30 m/s in 20 seconds. It cruises along at that constant speed for one minute, then brakes, coming to a stop in 25 m. Determine

### Introduction to Vectors

Introduction to Vectors K. Behrend January 31, 008 Abstract An introduction to vectors in R and R 3. Lines and planes in R 3. Linear dependence. 1 Contents Introduction 3 1 Vectors 4 1.1 Plane vectors...............................