1-D Motion: Free Falling Objects
|
|
- Roger Crawford
- 5 years ago
- Views:
Transcription
1 v (m/s) a (m/s^2) 1-D Motion: Free Falling Objects So far, we have only looked at objects moving in a horizontal dimension. Today, we ll look at objects moving in the vertical. Then, we ll look at both dimensions simultaneously. An object that is moving vertically through the air with no physical constraints on its motion is said to be in free fall. Freely falling objects have a constant acceleration directed toward the center of the Earth that is due only to the Earth s gravitational field. Free fall can exist on any planet (or moon, etc.), but we tend to focus on Earth. It is important to keep in mind that objects in free fall are always under a constant acceleration. We call the acceleration, The acceleration due to Earth s gravity. We use the letter g to represent it. The Acceleration Due to Earth s Gravity g = 9.80 m s 2 This number is valid if you are close to the Earth s surface (within a few thousand meters). In reality, this value decreases the farther you get from the Earth s surface, but we will treat it as a constant! We ll investigate this thought in more detail later in the course. Please note that g is a positive number! To better understand free fall, let s consider a ball that is tossed straight up, reaches a maximum height, and then lands back in the thrower s hand. We ll start by analyzing the acceleration over the time of the flight, because it s constant! If we define up as positive, then we know a = 9.80 m s2 = g. The a vs. t graph would look something like this (I made up some time values just for the sake of the example): t (s) The acceleration tells us that the v vs. t graph will be linear with a slope of This means that the velocity is always becoming more negative (increasing in the downward direction). The graph for our example, would look like this: t (s) Notes Page 1 of 7
2 y(m) Notice that the line passes through zero. This tells us that there is an instant in time where the ball is not moving. This happens at the apex or maximum height of its path! Even though the acceleration is constantly g, the velocity is still positive for a period of time (while the ball is going up!). Since the object is constantly accelerating, we should expect the y vs. t graph to be parabolic (and it is). The slope of the tangent lines will start off steep and level off to zero as the ball slows down on its way up. The tangent lines will become steeper in the negative direction as the ball speeds up on its way back down. For the graph below, I defined the point of catch and release to be a height of zero t (s) If we could use a camera that took pictures at equal time intervals and overlay the pictures on top of each other, we would see something like this (Obviously I separated the upward and downward paths): If we always define up (away from the Earth) as positive and let y represent the vertical position of an object, then we can rewrite the kinematics equations as follows. Notice, we replace x with y and use a = g. x = 1 2 at2 + v 0 t + x 0 v = at + v 0 v 2 = v a(x x 0 ) x = 1 2 at2 + vt + x 0 Δx = v t y = 1 2 gt2 + v 0 t + y 0 v = gt + v 0 v 2 = v 0 2 2g(y y 0 ) y = 1 2 gt2 + vt + y 0 Δy = v t Obviously if we defined down (toward the Earth) as positive, then a = g would be true and we d have to change our signs in the equations accordingly. NOTE: By assuming g is constant, we are ignoring the effects of air resistance! We have to do this because the mathematics behind air resistance require differential equations (which usually comes after Calculus 3). Notes Page 2 of 7
3 Symmetry If the initial and final heights of an object are the same (y = y 0 ), then the object rises and falls for an equal amount of time (t rise = t fall ). For these conditions to be met, the object must have an initial upward velocity. To see the symmetry of this situation graphically, look at the y vs. t graph on the previous page. Problems 1. In a moment of rage, you throw your physics book as high into the air as you can. What is the book s velocity when the book is at its highest possible point? What is the book s acceleration at this point? 2. At the end of the last Apollo 15 moon walk, Commander David Scott performed a live demonstration for the television cameras. He held out a geologic hammer and a feather and dropped them from the same height at the same time. Which object hit the ground first? (Note: There is virtually no atmosphere on the moon the moon exists in a near-vacuum.) 3. A tennis player on serve tosses the ball straight up before hitting it. What happens to the speed of the ball as it travels through the air? 4. In a fit of rebellion, two AP Physics students drop their physics books from the top of a tall building. Student A drops his book first and then Student B drops her book. Describe what happens to the distance between the two books while they are both still falling. (Hint: If you are struggling with this problem, create a table of some mock data for the velocity of each book at some various times.) Notes Page 3 of 7
4 5. In our pre-lab discussion for Lab 2, we dropped a ball from the same height of a person s head and timed how long it took for the ball to hit the ground. We then used the equation h = 4.9t 2 to estimate the person s height. (a) Show why this equation is valid for this scenario. (b) Suppose it took a ball 0.55 seconds to fall to the ground when dropped from the same height of a certain person. How tall is the person? (c) Mr. Scheithauer is approximately 1.88 m tall. If a ball was dropped from his height, how long would it take to strike the ground? 6. An arrow is shot straight upward at 100 m/s. (a) If air resistance is neglected, what is the maximum height the arrow would reach? (b) How long would the arrow be in the air? (c) Suppose the arrow was shot on the surface of Mars instead. How would the values for parts (a) and (b) compare on Mars to those calculated on Earth? (The acceleration due to gravity at the surface of Mars is approximately 3.7 m s 2. Notes Page 4 of 7
5 7. A sky diver is using a camera to film his jump. Near the end of his jump, when he is at a height of 50m and falling at a constant rate of 10 m/s, he accidentally drops his camera. (a) With what velocity does the camera strike the ground? (b) How many seconds does it take for the camera to strike the ground after it is dropped? (c) What if (for some bizarre reason) the sky diver threw the camera upward with an upward velocity of 10m/s (relative to the ground) and let the camera fall to the ground. How would the velocity that the camera struck the ground with compare to that of part (a)? How would the time of flight compare to that of part (b)? 8. A ball is thrown vertically upward with a speed of 25.0 m/s, rises to a maximum height, and then falls, eventually striking the ground.. (a) How high does the ball rise from its point of release? (b) How many seconds does it take for the ball to reach its highest position? (c) How many seconds does it take for the ball to strike the ground after it has reached its maximum height? (d) What is the ball s velocity when it returns to the same height from which it was released? 9. Two students are on a balcony that is a height h above the ground. They each throw a ball with an initial speed of v 0 ; one throws the ball upward and the other downward. (a) With what speed does each ball strike the ground? (b) Find the difference in the flight times of each ball. (c) Find an equation that describes the distance between the balls while they are both in the air. Answer each question in terms of v 0, g, h, and t. Notes Page 5 of 7
6 10. A model rocket is launched straight upward with an initial speed of 50.0 m/s. It accelerates upward at 2.00 m s 2 until it reaches an altitude of 150 m. (a) What is the maximum height reached by the rocket? (b) How long does it take for the rocket to reach this maximum height? (c) How long is the rocket in the air for? Notes Page 6 of 7
7 11. You are bored so you decide to execute a simple physics experiment. A friend drops an object from above a 1.5m-tall window in your house. Through video analysis, you find that the object travels from the top of the window to the bottom of the window in 0.14 seconds. How high above the top of the window was the object dropped? Notes Page 7 of 7
Chapter 3 Kinematics in Two Dimensions; Vectors
Chapter 3 Kinematics in Two Dimensions; Vectors Vectors and Scalars Addition of Vectors Graphical Methods (One and Two- Dimension) Multiplication of a Vector by a Scalar Subtraction of Vectors Graphical
More informationDo Now 10 Minutes Topic Free Fall
Do Now 10 Minutes Topic Free Fall I will be passing out a pop quiz right now. You have ten minutes to complete the pop quiz. Homework Complete the Motion Graph Lab Turn in the Kinematic Equations Worksheet
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 information(a) On the diagram above, draw an arrow showing the direction of velocity of the projectile at point A.
QUESTION 1 The path of a projectile in a uniform gravitational field is shown in the diagram below. When the projectile reaches its maximum height, at point A, its speed v is 8.0 m s -1. Assume g = 10
More informationKinematics 2. What equation relates the known quantities to what is being asked?
Physics R Date: 1. A cheetah goes from rest to 60 miles per hour (26.8 m/s) in 3 seconds. Calculate the acceleration of the cheetah. Kinematics Equations Kinematics 2 How to solve a Physics problem: List
More informationChapter 3 Acceleration
Chapter 3 Acceleration Slide 3-1 Chapter 3: Acceleration Chapter Goal: To extend the description of motion in one dimension to include changes in velocity. This type of motion is called acceleration. Slide
More informationGraphing 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
More informationChapter 3 Acceleration
Chapter 3 Acceleration Slide 3-1 Chapter 3: Acceleration Chapter Goal: To extend the description of motion in one dimension to include changes in velocity. This type of motion is called acceleration. Slide
More informationChapter 2. Kinematics in One Dimension. continued
Chapter 2 Kinematics in One Dimension continued 2.6 Freely Falling Bodies Example 10 A Falling Stone A stone is dropped from the top of a tall building. After 3.00s of free fall, what is the displacement
More informationVocabulary Preview. Oct 21 9:53 AM. Projectile Motion. An object shot through the air is called a projectile.
Projectile Trajectory Range Launch angle Vocabulary Preview Projectile Motion Projectile Motion An object shot through the air is called a projectile. A projectile can be a football, a bullet, or a drop
More informationMotion in two dimensions: vertical projectile motion *
OpenStax-CNX module: m39546 1 Motion in two dimensions: vertical projectile motion * Free High School Science Texts Project This work is produced by OpenStax-CNX and licensed under the Creative Commons
More informationFalling Objects. Bởi: OpenStaxCollege
Falling Objects Bởi: OpenStaxCollege Falling objects form an interesting class of motion problems. For example, we can estimate the depth of a vertical mine shaft by dropping a rock into it and listening
More information2. KINEMATICS. By Liew Sau Poh
2. KINEMATICS By Liew Sau Poh 1 OBJECTIVES 2.1 Linear motion 2.2 Projectiles 2.3 Free falls and air resistance 2 OUTCOMES Derive and use equations of motion with constant acceleration Sketch and use the
More informationVector and Relative motion discussion/ in class notes. Projectile Motion discussion and launch angle problem. Finish 2 d motion and review for test
AP Physics 1 Unit 2: 2 Dimensional Kinematics Name: Date In Class Homework to completed that evening (before coming to next class period) 9/6 Tue (B) 9/7 Wed (C) 1D Kinematics Test Unit 2 Video 1: Vectors
More informationWhat is a Vector? A vector is a mathematical object which describes magnitude and direction
What is a Vector? A vector is a mathematical object which describes magnitude and direction We frequently use vectors when solving problems in Physics Example: Change in position (displacement) Velocity
More informationWorksheet At t = 0 a car has a speed of 30 m/s. At t = 6 s, its speed is 14 m/s. What is its average acceleration during this time interval?
Worksheet 9 1. A poorly tuned Geo Metro (really old cheap, slow, car) can accelerate from rest to a speed of 28 m/s in 20 s. a) What is the average acceleration of the car? b) What distance does it travel
More informationA scalar quantity has just magnitude A vector quantity has both magnitude and direction
Name Date Mods REVIEW FOR MIDYEAR ASSESSMENT 1. Physics is the most basic science because Physics supports chemistry, chemistry supports biology. The ideas of physics are fundamental to these more complicated
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 informationIntroduction to 2-Dimensional Motion
Introduction to 2-Dimensional Motion 2-Dimensional Motion! Definition: motion that occurs with both x and y components.! Example:! Playing pool.! Throwing a ball to another person.! Each dimension of the
More informationacceleration versus time. LO Determine a particle s change in position by graphical integration on a graph of velocity versus time.
Chapter: Chapter 2 Learning Objectives LO 2.1.0 Solve problems related to position, displacement, and average velocity to solve problems. LO 2.1.1 Identify that if all parts of an object move in the same
More informationIntroduction to 1-D Motion Distance versus Displacement
Introduction to 1-D Motion Distance versus Displacement Kinematics! Kinematics is the branch of mechanics that describes the motion of objects without necessarily discussing what causes the motion.! 1-Dimensional
More information8.01x Classical Mechanics, Fall 2016 Massachusetts Institute of Technology. Problem Set 1
8.01x Classical Mechanics, Fall 2016 Massachusetts Institute of Technology 1. Car and Bicycle Rider Problem Set 1 A car is driving along a straight line with a speed v 0. At time t = 0 the car is at the
More informationThe force of gravity holds us on Earth and helps objects in space stay
96 R E A D I N G The force of gravity holds us on Earth and helps objects in space stay in orbit. The planets in the Solar System could not continue to orbit the Sun without the force of gravity. Astronauts
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 informationKinematics 2. Kinematics Equations. How to solve a Physics problem:
Kinematics Equations Kinematics 2 How to solve a Physics problem: What is the question asking for? List the given quantities with units Equation Substitution with units Solution with units Does the answer
More informationFree Fall. Last new topic that will be on the Midterm
Homework Questions? Free Fall Last new topic that will be on the Midterm Do now: Calculate acceleration due to gravity on earth Announcements 3.03 is due Friday Free Fall Introduction: Doc Shuster (AP
More informationChapter 2: Kinematics
Section 1 Chapter 2: Kinematics To simplify the concept of motion, we will first consider motion that takes place in one direction. To measure motion, you must choose a frame of reference. Frame of reference
More informationChapter 4. Motion in Two Dimensions
Chapter 4 Motion in Two Dimensions Projectile Motion An object may move in both the x and y directions simultaneously. This form of two-dimensional motion we will deal with is called projectile motion.
More informationDisplacement, Velocity, and Acceleration AP style
Displacement, Velocity, and Acceleration AP style Linear Motion Position- the location of an object relative to a reference point. IF the position is one-dimension only, we often use the letter x to represent
More informationChapter 3 Lecture. Pearson Physics. Acceleration and Accelerated Motion. Prepared by Chris Chiaverina Pearson Education, Inc.
Chapter 3 Lecture Pearson Physics Acceleration and Accelerated Motion Prepared by Chris Chiaverina Chapter Contents Acceleration Motion with Constant Acceleration Position-Time Graphs with Constant Acceleration
More informationphysics Chapter 4 Lecture a strategic approach randall d. knight FOR SCIENTISTS AND ENGINEERS Chapter 4_Lecture1 THIRD EDITION
Chapter 4 Lecture physics FOR SCIENTISTS AND ENGINEERS a strategic approach THIRD EDITION randall d. knight Chapter 4_Lecture1 1 Chapter 4 Kinematics in 2D: Projectile Motion (Sec. 4.2) Which fountain
More informationChapter 2 One-Dimensional Kinematics. Copyright 2010 Pearson Education, Inc.
Chapter 2 One-Dimensional Kinematics Units of Chapter 2 Position, Distance, and Displacement Average Speed and Velocity Instantaneous Velocity Acceleration Motion with Constant Acceleration Applications
More informationChapter 2. Preview. Objectives One Dimensional Motion Displacement Average Velocity Velocity and Speed Interpreting Velocity Graphically
Section 1 Displacement and Velocity Preview Objectives One Dimensional Motion Displacement Average Velocity Velocity and Speed Interpreting Velocity Graphically Section 1 Displacement and Velocity Objectives
More informationPhys 2425: University Physics I Summer 2016 Practice Exam 1
1. (0 Points) What course is this? a. PHYS 1401 b. PHYS 1402 c. PHYS 2425 d. PHYS 2426 2. (0 Points) Which exam is this? a. Exam 1 b. Exam 2 c. Final Exam 3. (0 Points) What version of the exam is this?
More informationMs. Peralta s IM3 HW 5.4. HW 5.4 Solving Quadratic Equations. Solve the following exercises. Use factoring and/or the quadratic formula.
HW 5.4 HW 5.4 Solving Quadratic Equations Name: Solve the following exercises. Use factoring and/or the quadratic formula. 1. 2. 3. 4. HW 5.4 5. 6. 4x 2 20x + 25 = 36 7. 8. HW 5.4 9. 10. 11. 75x 2 30x
More informationChapter 3 Acceleration
Chapter 3 Acceleration Slide 3-1 PackBack The first answer gives a good physical picture. The video was nice, and worth the second answer. https://www.youtube.com/w atch?v=m57cimnj7fc Slide 3-2 Slide 3-3
More informationTuesday January 17. 1D, a=constant Eqns:
Tuesday January 17 Assignment 2 Due Friday by 11:59pm Help Room: W/Th 6-9PM - Walter 245 Lab Starts Next Week No Open-toed shoes; No food or drinks Print lab writeup & bring to lab Do pre-lab. Bring a
More informationKinematics A train accelerates from rest at a rate of 2 m/(s*s), for a time of 20 seconds. How much distance does the train cover?
Physics R Date: 1. A cheetah goes from rest to 60 miles per hour (26.8 m/s) in 3 seconds. Calculate the acceleration of the cheetah. Kinematics Equations Kinematics 2 How to solve a Physics problem: 1.
More informationAP Physics 1 Summer Assignment 2018 Mrs. DeMaio
AP Physics 1 Summer Assignment 2018 Mrs. DeMaio demaiod@middletownk12.org Welcome to AP Physics 1 for the 2018-2019 school year. AP Physics 1 is an algebra based, introductory college-level physics course.
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 informationChapter 2. Kinematics in one dimension
Chapter 2 Kinematics in one dimension Galileo - the first modern kinematics 1) In a medium totally devoid of resistance all bodies will fall at the same speed 2) During equal intervals of time, a falling
More informationFinal Exam Review Answers
Weight (Pounds) Final Exam Review Answers Questions 1-8 are based on the following information: A student sets out to lose some weight. He made a graph of his weight loss over a ten week period. 180 Weight
More informationReview. Distance vs. Displacement Scalar vs. Vectors Speed vs. Velocity Acceleration Motion at Constant Acceleration Freefall Kinematic Equations
Linear Motion Review Distance vs. Displacement Scalar vs. Vectors Speed vs. Velocity Acceleration Motion at Constant Acceleration Freefall Kinematic Equations Distance vs. Displacement Distance is the
More informationDOWNLOAD PDF KINEMATICS NOTES PHYSICS 11
Chapter 1 : Kinematics Grade 11 Physics Notes Khullakitab Physics 11 à Kinematics 1 Physics 11 à Kinematics à Graphing Motion Kinematics is the study of motion without reference to forces and masses. Note
More informationIn this activity, we explore the application of differential equations to the real world as applied to projectile motion.
Applications of Calculus: Projectile Motion ID: XXXX Name Class In this activity, we explore the application of differential equations to the real world as applied to projectile motion. Open the file CalcActXX_Projectile_Motion_EN.tns
More information2-D Vector Equations have the same form as 1-D Kinematics. f i i
2-D Vector Equations have the same form as 1-D Kinematics v = v + at f i 1 r = r + v t+ at f i i 2 2 2-D Vector Equations have the same form as 1-D Kinematics v = viˆ+ v ˆj f x y = ( v + ati ) ˆ+ ( v +
More informationChapter 2. Kinematic Equations. Problem 1. Kinematic Equations, specific. Motion in One Dimension
Kinematic Equations Chapter Motion in One Dimension The kinematic equations may be used to solve any problem involving one-dimensional motion with a constant You may need to use two of the equations to
More 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 information3.2 Projectile Motion
Motion in 2-D: Last class we were analyzing the distance in two-dimensional motion and revisited the concept of vectors, and unit-vector notation. We had our receiver run up the field then slant Northwest.
More informationAnnouncement. Quiz on Friday (Graphing and Projectile Motion) No HW due Wednesday
Going over HW3.05 Announcement Quiz on Friday (Graphing and Projectile Motion) No HW due Wednesday As the red ball rolls off the edge, a green ball is dropped from rest from the same height at the same
More informationPre-Test for One-Dimensional Motion
Pre-Test for One-Dimensional Motion 1.) Let's say that during a thunderstorm you measure the time lag between the flash and the thunderclap to be 3 seconds. If the speed of sound is about 340 m/s, which
More informationSTRAIGHT-LINE MOTION UNDER CONSTANT ACCELERATION
STRAIGHT-LINE MOTION UNDER CONSTANT ACCELERATION Problems involving a body moving in a straight line under constant acceleration have five relevant variables: u = Initial velocity in m/s v = Final velocity
More informationWelcome back to Physics 211
Welcome back to Physics 211 Lecture 2-2 02-2 1 Last time: Displacement, velocity, graphs Today: Constant acceleration, free fall 02-2 2 Simplest case with non-zero acceleration Constant acceleration: a
More informationUnit 1 Parent Guide: Kinematics
Unit 1 Parent Guide: Kinematics Kinematics is the study of the motion of objects. Scientists can represent this information in the following ways: written and verbal descriptions, mathematically (with
More informationPractice Test 1 1. A steel cylinder is 39 mm in height and 39 mm in diameter.
Practice Test 1 1. A steel cylinder is 39 mm in height and 39 mm in diameter. (a) How much does it weigh? (density of steel: ρ = 7560 kg/m3) 2. An automobile moving along a straight track changes its velocity
More informationChapter 2 1D KINEMATICS
Chapter 2 1D KINEMATICS The motion of an American kestrel through the air can be described by the bird s displacement, speed, velocity, and acceleration. When it flies in a straight line without any change
More informationLinear Motion III Free Falling Bodies
Linear Motion III Free Falling Bodies Level : Physics I Teacher : Kim Objectives i) Describe the motion of an object in free fall ii) Distinguish between speed and velocity iii) Describe the motion of
More informationPHYSICS 220 Lecture 04 Forces and Motion in 1 D Textbook Sections
PHYSICS 220 Lecture 04 Forces and Motion in 1 D Textbook Sections 3.2 3.6 Lecture 4 Purdue University, Physics 220 1 Last Lecture Constant Acceleration x = x 0 + v 0 t + ½ at 2 v = v 0 + at Overview v
More informationProjectile 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
More informationUnit 1: Mechanical Equilibrium
Unit 1: Mechanical Equilibrium Chapter: Two Mechanical Equilibrium Big Idea / Key Concepts Student Outcomes 2.1: Force 2.2: Mechanical Equilibrium 2.3: Support Force 2.4: Equilibrium for Moving Objects
More informationCHAPTER 2 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 information1) If the acceleration of an object is negative, the object must be slowing down. A) True B) False Answer: B Var: 1
University Physics, 13e (Young/Freedman) Chapter 2 Motion Along a Straight Line 2.1 Conceptual Questions 1) If the acceleration of an object is negative, the object must be slowing down. A) True B) False
More informationVectors. Coordinates & Vectors. Chapter 2 One-Dimensional Kinematics. Chapter 2 One-Dimensional Kinematics
Chapter 2 One-Dimensional Kinematics Chapter 2 One-Dimensional Kinematics James Walker, Physics, 2 nd Ed. Prentice Hall One dimensional kinematics refers to motion along a straight line. Even though we
More informationMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 1) If the acceleration of an object is negative, the object must be slowing down. A) True B) False
More informationHonors Physics Acceleration and Projectile Review Guide
Honors Physics Acceleration and Projectile Review Guide Major Concepts 1 D Motion on the horizontal 1 D motion on the vertical Relationship between velocity and acceleration Difference between constant
More informationAP Physics 1- Kinematics Practice Problems (version 2)
AP Physics 1- Kinematics Practice Problems (version 2) FACT: Kinematics is the branch of Newtonian mechanics concerned with the motion of objects without reference to the forces that cause the motion.
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 informationKinematics Multiple- Choice Questions (answers on page 16)
Kinematics Multiple- Choice Questions (answers on page 16) 1. An object moves around a circular path of radius R. The object starts from point A, goes to point B and describes an arc of half of the circle.
More information2-D Kinematics. In general, we have the following 8 equations (4 per dimension): Notes Page 1 of 7
2-D Kinematics The problem we run into with 1-D kinematics, is that well it s one dimensional. We will now study kinematics in two dimensions. Obviously the real world happens in three dimensions, but
More information2018 AP PHYSICS 1 FREE-RESPONSE QUESTIONS. PHYSICS 1 Section II 1 Questions Time 25 minutes
2018 AP FREE-RESPONSE QUESTIONS Time 25 minutes Directions: Question 1 is a long free-response question that requires about 25 minutes to answer and is worth 12 points. Show your work for each part in
More informationUAM Paradigm Lab. Uniform Acceleration Background. X-t graph. V-t graph now. What about displacement? *Displacement method 2 9/18/2017
9/8/07 UAM Paradigm Lab Uniform Acceleration Background Wheel down a rail Observations Dots got further apart as the wheel rolled down rail This means the change in position increased over time X-t graph
More informationAP Physics Free Response Practice Kinematics ANSWERS 1982B1 2
AP Physics Free Response Practice Kinematics ANSWERS 198B1 a. For the first seconds, while acceleration is constant, d = ½ at Substituting the given values d = 10 meters, t = seconds gives a = 5 m/s b.
More information(UNIT I) Measuring Activity Name
(UNIT I) Measuring Activity Name Purpose: To become more familiar with the metric system (SI) of measurement. Make estimates first and then measure it. Pre Lab reading: http://www.cnn.com/tech/space/9909/30/mars.metric.02/#1
More informationMidterm Prep. 1. Which combination correctly pairs a vector quantity with its corresponding unit?
Name: ate: 1. Which combination correctly pairs a vector quantity with its corresponding unit?. weight and kg. velocity and m/s. speed and m/s. acceleration and m 2 /s 2. 12.0-kilogram cart is moving at
More information1-D and 2-D Motion Test Friday 9/8
1-D and -D Motion Test Frida 9/8 3-1 Vectors and Scalars A vector has magnitude as well as direction. Some vector quantities: displacement, velocit, force, momentum A scalar has onl a magnitude. Some scalar
More informationProblem: Projectile (CM-1998)
Physics C -D Kinematics Name: ANSWER KEY AP Review Packet Vectors have both magnitude and direction displacement, velocity, acceleration Scalars have magnitude only distance, speed, time, mass Unit vectors
More informationReview Session 1. Page 1
Review Session 1 1. Which combination of fundamental units can be used to express the amount of work done on an object? 2. The height of a typical kitchen table is approximately A) 10-2 m B) 10 0 m C)
More informationPhysics 11 Chapter 3: Kinematics in Two Dimensions. Problem Solving
Physics 11 Chapter 3: Kinematics in Two Dimensions The only thing in life that is achieved without effort is failure. Source unknown "We are what we repeatedly do. Excellence, therefore, is not an act,
More informationMatter, Force, Energy, Motion, and the Nature of Science (NOS)
Matter, Force, Energy, Motion, and the Nature of Science (NOS) Elementary SCIEnCE Dr. Suzanne Donnelly Longwood University donnellysm@longwood.edu Day 3: Morning schedule Problem-Based Learning (PBL) What
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 informationOpenStax-CNX module: m Falling Objects. TERP Admin. Based on Falling Objects by OpenStax College
OpenStax-CNX module: m50566 1 2.8 Falling Objects TERP Admin Based on Falling Objects by OpenStax College This work is produced by OpenStax-CNX and licensed under the Creative Commons Attribution License
More information3.4 Projectile Motion
3.4 Projectile Motion Projectile Motion A projectile is anything launched, shot or thrown---i.e. not self-propelled. Examples: a golf ball as it flies through the air, a kicked soccer ball, a thrown football,
More informationChapter 1. Kinematics
Chapter 1 Kinematics 3 4 AP Physics Multiple Choice Practice Kinematics 1. A car travels 30 miles at an average speed of 60 miles per hour and then 30 miles at an average speed of 30 miles per hour. The
More informationFrom rest, a rock is dropped and falls for 3.0 seconds before hitting the ground. What is its velocity right before it hits the ground?
Physics Lecture #6: Falling Objects A falling object accelerates as it falls. A bowling ball dropped on your foot will hurt more if it is dropped from a greater height since it has more time to increase
More informationGalileo. t = 0 t = 1 second t = 2 seconds t = 3 seconds
Physics 5.2 Galilei Galileo 1600 s Studied how things fell Didn t have a good clock Rolled balls down an inclined plane Found that the speed increased as it rolled down the ramp 1st person to explain acceleration
More informationKinematics 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
More informationProblem: Projectile (CM-1998) Justify your answer: Problem: Projectile (CM-1998) 5 10 m/s 3. Show your work: 3 m/s 2
Physics C -D Kinematics Name: AP Review Packet Vectors have both magnitude and direction displacement, velocity, acceleration Scalars have magnitude only distance, speed, time, mass Unit vectors Specify
More informationTwo Dimensional Kinematics Challenge Problems
Two Dimensional Kinematics Challenge Problems Problem 1: Suppose a MIT student wants to row across the Charles River. Suppose the water is moving downstream at a constant rate of 1.0 m/s. A second boat
More informationFACT: Kinematics is the branch of Newtonian mechanics concerned with the motion of objects without reference to the forces that cause the motion.
AP Physics 1- Kinematics Practice Problems FACT: Kinematics is the branch of Newtonian mechanics concerned with the motion of objects without reference to the forces that cause the motion. FACT: Displacement
More informationCEE 271: Applied Mechanics II, Dynamics Lecture 1: Ch.12, Sec.1-3h
1 / 30 CEE 271: Applied Mechanics II, Dynamics Lecture 1: Ch.12, Sec.1-3h Prof. Albert S. Kim Civil and Environmental Engineering, University of Hawaii at Manoa Tuesday, August 21, 2012 2 / 30 INTRODUCTION
More informationAP Physics 1 Summer Assignment
Name: Email address (write legibly): AP Physics 1 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
More informationChapter: Basic Physics-Motion
Chapter: Basic Physics-Motion The Big Idea Speed represents how quickly an object is moving through space. Velocity is speed with a direction, making it a vector quantity. If an object s velocity changes
More information5 Projectile Motion. Projectile motion can be described by the horizontal and vertical components of motion.
Projectile motion can be described by the horizontal and vertical components of motion. In the previous chapter we studied simple straight-line motion linear motion. Now we extend these ideas to nonlinear
More informationAP Physics I Summer Work
AP Physics I Summer Work 2018 (20 points) Please complete the following set of questions and word problems. Answers will be reviewed in depth during the first week of class followed by an assessment based
More informationProjectile Motion. C) 15 m. D) depends on horizontal speed
Pre-Test - Post-Test 1. A stone is thrown horizontally from the top of a cliff. One second after it has left your hand its vertical distance bellow the cliff is. A) 5 m. B) 10 m. C) 15 m. D) depends on
More informationFour Types of Motion We ll Study
Four Types of Motion We ll Study The branch of mechanics that studies the motion of a body without caring about what caused the motion. Kinematics definitions Kinematics branch of physics; study of motion
More informationSemester 1 Final Exam Review Answers
Position (m) Mass (g) Semester 1 Final Exam Review Answers A physics student was interested in finding the mass of a penny. To do so she grabbed a bunch of pennies and placed them on a scale. She gathered
More informationPractice Test What two units of measurement are necessary for describing speed?
Practice Test 1 1. What two units of measurement are necessary for describing speed? 2. What kind of speed is registered by an automobile? 3. What is the average speed in kilometers per hour for a horse
More informationChapter 2. Kinematics in One Dimension. continued
Chapter 2 Kinematics in One Dimension continued 2.4 Equations of Kinematics for Constant Acceleration vx0 = 0m s ax = +31 m s 2 Δx vx = 62m s Example: Catapulting a Jet Find its displacement. vx0 = 0m
More informationPrinciples 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.
More information