Introduction to Mechanics Projectiles Time of Flight
|
|
- Nelson Harrell
- 6 years ago
- Views:
Transcription
1 Introduction to Mechanics Projectiles Time of Flight Lana Sheridan De Anza College Oct 24, 2017
2 Last time height of a projectile
3 Warm Up Question # 57, page 107 Child 1 throws a snowball horizontally from the top of a roof; child 2 throws a snowball straight down. Once in flight, is the acceleration of snowball 2 (A) greater than, (B) equal to, or (C) less than the acceleration of snowball 1?
4 Overview more about the height of of projectile time of flight of a projectile
5 Height of a Projectile tely om- How can we find the maximum height that a projectile reaches above its launch point? Find the height when v y = 0. - he re c tile t i 5 oriolf O y S vi u i h R v y 0 Figure 4.9 A projectile launched over a flat surface from the origin x v 2 fy = v 2 0y 2g y 0 = v 2 0y 2gh h = v 2 0y 2g In the diagram, v 0y = v 0 sin θ. h = v 2 0 sin2 θ 2g
6 uiz Effect 4.3 Rank of changing the launch launch angles for angle the five paths in Figure 4.10 w t to time of flight from the shortest time of flight to the longest. y (m) v i 50 m/s Complementary values of the initial angle u i result in the same value of R x (m) 1 Figure from Serway & Jewett, 9th ed.
7 O FIGURE 4 12 Conceptual Exercise 5 Height and initial speed conceptual question # 6 6. Three projectiles (A, B, and C) are launched with different initial Three projectiles speeds so (A, that they B, and reach C) the are same launched maximum height, with different as shown initial speeds soin that Figure they reach List the the projectiles same maximum in order of increasing height, (a) as initial speed and (b) time of flight. Indicate a tie with an equal sign. shown. List the projectiles in order of increasing initial speed. y level from Figure 4-14 speed of the other two p (A) A, B, C (B) C, B, A (C) B, C, A (D) all the same 1 Walker, Physics, page 100. A B C O FIGURE 4 13 Conceptual Exercise 6 x 11. Child 1 thro child 2 thro acceleration less than th
8 Using the Max Height Equation 3.00 m-high tree that is 14.0 m away. The ball lands at the same level nce of 17.8 m on the green, of course. (a) If the ball left the club 54.0 what was its initial speed? (b) How high was the ball when it passed In Example 4-5 in the textbook, page 93, a golfer hits a ball over a tree onto the green. igin, r the tory n- n all Height, y (m) O 54.0 v x = d t = 17.8 m 2.24 s Distance, x (m) = 7.95 m/s The example asks, How high was the ball when it passed over the tree? If you are given the initial speed and launch angle, can you use the equation to answer the question? (A) Yes (B) No h = v 2 0 sin2 θ 2g
9 leapers (such as deer and dancers) look particularly graceful, can also make life more dangerous for to spawn. t Not Using the Max Height Equation How high was the ball when it passed over the tree? Suppose v 0 = 13.5 m/s, θ = 54.0 and tree is 14.0 m from golfer. How can we find the answer? er sends the ball over a 3.00 m-high tree that is 14.0 m away. The ball lands at the same level veling a horizontal distance of 17.8 m on the green, of course. (a) If the ball left the club 54.0 on the green 2.24 s later, what was its initial speed? (b) How high was the ball when it passed ing flight from the origin, of 54.0, and arcing over the ng the parabolic trajectory ls. h constant speed in the x velocity is simply horizonnowing v x and u, we can find the time when the ball this time into e height. Height, y (m) O Distance, x (m), d, by the time of v x = d t = 17.8 m 2.24 s = 7.95 m/s
10 leapers (such as deer and dancers) look particularly graceful, can also make life more dangerous for to spawn. t Not Using the Max Height Equation How high was the ball when it passed over the tree? Suppose v 0 = 13.5 m/s, θ = 54.0 and tree is 14.0 m from golfer. How can we find the answer? er sends the ball over a 3.00 m-high tree that is 14.0 m away. The ball lands at the same level veling a horizontal distance of 17.8 m on the green, of course. (a) If the ball left the club 54.0 on the green 2.24 s later, what was its initial speed? (b) How high was the ball when it passed ing flight from the origin, of 54.0, and arcing over the ng the parabolic trajectory ls. h constant speed in the x velocity is simply horizonnowing v x and u, we can find the time when the ball this time into e height., d, by the time of v x = d t = 17.8 m = 7.95 m/s 2.24 s Height, y (m) O Distance, x (m) Go back to the kinematics expressions! y = v 0y t 1 2 gt2 We can find the height if we know the time the ball was over the tree.
11 h Shot a golfer Not sends Using the ball over a 3.00 the m-high Max tree that is Height 14.0 m away. The Equation ball lands the same level ter traveling a horizontal distance of 17.8 m on the green, of course. (a) If the ball left the club 54.0 nded on the green 2.24 s later, what was its initial speed? (b) How high was the ball when it passed ll taking flight from the origin, angle of 54.0, and arcing over the ts along the parabolic trajectory tervals. es with constant speed in the x ent of velocity is simply horizonime. Knowing v x and u, we can u. 2t to find the time when the ball ting this time into ves the height. Height, y (m) O Distance, x (m) stance, d, by the time of v x = d t = 17.8 m = 7.95 m/s 2.24 s
12 Previous Example What was the strategy we used in the previous example?
13 Previous Example What was the strategy we used in the previous example? We found the time when the projectile was in the place we wanted to know about (above the tree). We used the time to find the other position coordinate.
14 Previous Example What was the strategy we used in the previous example? We found the time when the projectile was in the place we wanted to know about (above the tree). We used the time to find the other position coordinate. How would we solve this homework problem? #33. In a game of basketball, a forward makes a bounce pass to the center. The ball is thrown with an initial speed of 4.3 m/s at an angle of 15 below the horizontal. It is released 0.80 m above the floor. What horizontal distance does the ball cover before bouncing?
15 Time of Flight of a Projectile ion are time completely of flight time The t as time the com- from launch to when projectile hits the ground. How can we find the time of flight of a projectile? arabolic path y ty and accelera- ) nowhere (b) the v y 0 at what point are S to each other? v tile l case of projectile the origin at t i 5 O i u i rns to the same horifootballs, Assuming and golf that it is over launched a flat surface from from the the ground origin and lands on Figure 4.9 A projectile launched. the ground at theat same t i 5 0 height. with an initial velocity S h R x
16 Time of Flight of a Projectile Notice that just when striking the ground, y = 0. y = v 0y t a y t 2 0 = v 0 sin θt 1 2 gt2 Now cancel a factor of t. Warning! This will remove one solution to this equation in t. What is it?
17 Time of Flight of a Projectile Notice that just when striking the ground, y = 0. y = v 0y t a y t 2 0 = v 0 sin θt 1 2 gt2 Now cancel a factor of t. Warning! This will remove one solution to this equation in t. What is it? 1 2 gt = v 0 sin θ t flight = 2v 0 sin θ g
18 Time of Flight Example, #32 A soccer ball is kicked with a speed of 9.50 m/s at an angle of 25.0 above the horizontal. If the ball lands at the same level from which it was kicked, how long was it in the air? 1 Walker, Physics, page 106.
19 Time of Flight Example, #32 A soccer ball is kicked with a speed of 9.50 m/s at an angle of 25.0 above the horizontal. If the ball lands at the same level from which it was kicked, how long was it in the air? Draw a sketch. Hypothesis: about 2 seconds. 1 Walker, Physics, page 106.
20 Time of Flight Example, #32 A soccer ball is kicked with a speed of 9.50 m/s at an angle of 25.0 above the horizontal. If the ball lands at the same level from which it was kicked, how long was it in the air? Draw a sketch. Hypothesis: about 2 seconds. Given: v 0 = 9.50 m/s, θ = 25.0 Asked for: time of flight, t 1 Walker, Physics, page 106.
21 Time of Flight Example, #32
22 such as 75 and 15. Of course, the maximum height and time of flight for one of these values of u i are different from the maximum height and time of flight for the complementary value. Time of Flight of a Projectile Quick Quiz Rank the launch angles for the five paths in the figure with respect to time of flight from the shortest time of flight respect to time of flight from the shortest time of flight to the longest. to the longest. (Assume the magnitude v i remains the same.) Q uick Quiz 4.3 Rank the launch angles for the five paths in Figure 4.10 with y (m) A 15, 30, 45, 60, 75 B 45, 30, 60, 15, 75 C 15, 75, 30, 60, 45 D 75, 60, 45, 30, Page 86, Serway & Jewett 15 v i 50 m/s Complementary values of the initial angle u i result in the same value of R x (m)
23 O FIGURE 4 12 Conceptual Exercise 5 Height and initial speed conceptual question # 6 6. Three projectiles (A, B, and C) are launched with different initial Three projectiles speeds so (A, that they B, and reach C) the are same launched maximum height, with different as shown initial speeds soin that Figure they reach List the the projectiles same maximum in order of increasing height, (a) as initial speed and (b) time of flight. Indicate a tie with an equal sign. shown. List the projectiles in order of increasing time of flight. y level from Figure 4-14 speed of the other two p (A) A, B, C (B) C, B, A (C) B, C, A (D) all the same 1 Walker, Physics, page 100. A B C O FIGURE 4 13 Conceptual Exercise 6 x 11. Child 1 thro child 2 thro acceleration less than th
24 Summary more about the height of a projectile time of flight of a projectile Homework Walker Physics: PREV: Ch 4, onward from page 100. Problems: 27, 29, 31, 33, 57, 61, 63, 67, 84 Ch 4, onward from page 100. Problems: 39, 40 & 41, 43, 87
Introduction to Mechanics Time of Flight Range of a Projectile Trajectory Equation
Introduction to Mechanics Time of Flight Range of a Projectile Trajectory Equation Lana Sheridan De Anza College Feb 12, 2018 Last time projectiles launched horizontally projectiles launched at an angle
More information2D Motion Projectile Motion
2D Motion Projectile Motion Lana heridan De Anza College Oct 3, 2017 Last time vectors vector operations Warm Up: Quick review of Vector Expressions Let a, b, and c be (non-null) vectors. Let l, m, and
More information2D Motion Projectile Motion
2D Motion Projectile Motion Lana heridan De Anza College Oct 3, 2017 Last time vectors vector operations 2 dimensional motion Warm Up: Quick review of Vector Expressions Let a, b, and c be (non-null) vectors.
More informationIntroduction to Mechanics Range of a Projectile Trajectory Equation More Examples
Introduction to Mechanics Range of a Projectile Trajectory Equation More Examples Lana Sheridan De Anza College Oct 25, 2017 Last time max height of a projectile time-of-flight of a projectile range of
More informationProjectile Motion. Chin- Sung Lin STEM GARAGE SCIENCE PHYSICS
Projectile Motion Chin- Sung Lin Introduction to Projectile Motion q What is Projectile Motion? q Trajectory of a Projectile q Calculation of Projectile Motion Introduction to Projectile Motion q What
More informationIntroduction to Mechanics Dynamics Forces Newton s Laws
Introduction to Mechanics Dynamics Forces Newton s Laws Lana heridan De Anza College Oct 30, 2017 Last time relative motion review projectiles and relative motion Relative Motion and Projectiles A science
More informationWhen we throw a ball :
PROJECTILE MOTION When we throw a ball : There is a constant velocity horizontal motion And there is an accelerated vertical motion These components act independently of each other PROJECTILE MOTION A
More informationKinematics Kinematic Equations and Falling Objects
Kinematics Kinematic Equations and Falling Objects Lana Sheridan De Anza College Sept 28, 2017 Last time kinematic quantities relating graphs Overview derivation of kinematics equations using kinematics
More informationIntroduction to Mechanics Projectiles
Introduction to Mechanics Projectiles Lana heridan De Anza College Feb 6, 2018 Last time relative motion examples Overview another relative motion example motion with constant acceleration projectiles
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 informationProjectile 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
More informationKinematics Kinematic Equations and Falling Objects
Kinematics Kinematic Equations and Falling Objects Lana Sheridan De Anza College Sept 28, 2017 Last time kinematic quantities relating graphs Overview derivation of kinematics equations using kinematics
More informationProjectile Motion trajectory Projectile motion
Projectile Motion The path that a moving object follows is called its trajectory. An object thrown horizontally is accelerated downward under the influence of gravity. Gravitational acceleration is only
More informationChapter 3 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 informationIntroduction to Mechanics Dynamics Forces Newton s Laws
Introduction to Mechanics Dynamics Forces Newton s Laws Lana heridan De Anza College Feb 14, 2018 Last time relative motion review projectiles and relative motion Relative Motion and Projectiles A science
More informationPhysics 201 Homework 1
Physics 201 Homework 1 Jan 9, 2013 1. (a) What is the magnitude of the average acceleration of a skier who, starting (a) 1.6 m/s 2 ; (b) 20 meters from rest, reaches a speed of 8.0 m/s when going down
More informationFree fall. Lana Sheridan. Oct 3, De Anza College
Free fall Lana Sheridan De Anza College Oct 3, 2018 2018 Physics Nobel Prize Congratulations to Arthur Ashkin and to Gérard Mourou and Donna Strickland Last time the kinematics equations (constant acceleration)
More informationPHY 1114: Physics I. Quick Question 1. Quick Question 2. Quick Question 3. Quick Question 4. Lecture 5: Motion in 2D
PHY 1114: Physics I Lecture 5: Motion in D Fall 01 Kenny L. Tapp Quick Question 1 A child throws a ball vertically upward at the school playground. Which one of the following quantities is (are) equal
More 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 informationIntroduction to Mechanics Energy Conservation
Introduction to Mechanics Energy Conservation Lana Sheridan De Anza College Mar 22, 2018 Last time conservative forces and potential energy energy diagrams mechanical energy energy conservation Overview
More informationDepartment of Natural Sciences Clayton College & State University. Physics 1111 Quiz 3
Clayton College & State University September 16, 2002 Physics 1111 Quiz 3 Name 1. You throw a physics textbook horizontally at a speed of 9.00 m/s from a top of a building. The height of the building is
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 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 informationMOTION 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
More informationIntroduction to Mechanics Kinematics Equations
Introduction to Mechanics Kinematics Equations Lana Sheridan De Anza College Jan, 018 Last time more practice with graphs introduced the kinematics equations Overview rest of the kinematics equations derivations
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 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 informationChapter 4. Two-Dimensional Motion
Chapter 4. Two-Dimensional Motion 09/1/003 I. Intuitive (Understanding) Review Problems. 1. If a car (object, body, truck) moves with positive velocity and negative acceleration, it means that its a) speed
More informationKinematics 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 informationINTRODUCTION. 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
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 informationEnergy Energy and Friction
Energy Energy and Friction Lana Sheridan De Anza College Oct 31, 2017 Last time energy conservation isolated and nonisolated systems Overview Isolated system example Kinetic friction and energy Practice
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 informationIntroduction to Mechanics Potential Energy Energy Conservation
Introduction to Mechanics Potential Energy Energy Conservation Lana Sheridan De Anza College Nov 28, 2017 Last time power conservative and nonconservative forces friction Overview conservative forces and
More informationKinematics 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 informationConceptual Physics Projectiles Motion of Planets
Conceptual Physics Projectiles Motion of Planets Lana Sheridan De Anza College July 13, 2015 Last time angular momentum gravity gravitational field black holes Overview projectile motion orbital motion
More informationPlanar Motion with Constant Acceleration
Planar Motion with Constant Acceleration 1. If the acceleration vector of an object is perpendicular to its velocity vector, which of the following must be true? (a) The speed is changing. (b) The direction
More informationSPH3U UNIVERSITY PHYSICS
SPH3U UNIVERSITY PHYSICS KINEMATICS L (P.76-81) Projectile & The motion experienced by a dirt bike jumper is identical to that of a ball thrown up in the air at an angle. Both travel through a twodimensional
More informationUnit 1, Lessons 2-5: Vectors in Two Dimensions
Unit 1, Lessons 2-5: Vectors in Two Dimensions Textbook Sign-Out Put your name in it and let s go! Check-In Any questions from last day s homework? Vector Addition 1. Find the resultant displacement
More informationAP Physics Kinematic Wrap Up
AP Physics Kinematic Wrap Up So what do you need to know about this motion in two-dimension stuff to get a good score on the old AP Physics Test? First off, here are the equations that you ll have to work
More informationv v y = v sinθ Component Vectors:
Component Vectors: Recall that in order to simplify vector calculations we change a complex vector into two simple horizontal (x) and vertical (y) vectors v v y = v sinθ v x = v cosθ 1 Component Vectors:
More informationPhysics Mechanics. Lecture 8 2D Motion Basics
Physics 170 - Mechanics Lecture 8 2D Motion Basics Two-Dimensional Kinematics Motion in Two Dimensions Motion in the x- and y-directions should be solved separately: Constant Velocity If velocity is constant,
More informationConceptual Physics Projectiles Motion of Planets
Conceptual Physics Projectiles Motion of Planets Lana Sheridan De Anza College July 19, 2017 Last time angular momentum gravity gravitational field black holes Overview projectile motion orbital motion
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 informationLinear Momentum Collisions and Energy Collisions in 2 Dimensions
Linear Momentum Collisions and Energy Collisions in 2 Dimensions Lana Sheridan De Anza College Mar 1, 2019 Last time collisions elastic collision example inelastic collisions Overview the ballistic pendulum
More informationProjectile Motion Exercises
Projectile Motion 11.7 Exercises 1 A ball is thrown horizontally from a cliff with a speed of 10ms-I, at the same time as an identical ball is dropped from the cliff. Neglecting the effect of air resistance
More informationIntroduction to Mechanics Motion in 2 Dimensions
Introduction to Mechanics Motion in 2 Dimensions Lana heridan De Anza College Oct 17, 2017 Last time vectors and trig Overview wrap up vectors introduction to motion in 2 dimensions constant velocity in
More informationMotion in Two Dimensions. 1.The Position, Velocity, and Acceleration Vectors 2.Two-Dimensional Motion with Constant Acceleration 3.
Motion in Two Dimensions 1.The Position, Velocity, and Acceleration Vectors 2.Two-Dimensional Motion with Constant Acceleration 3.Projectile Motion The position of an object is described by its position
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. 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 information30º 20º 60º 38º 78º 16º 45º 83º. Chapter 3 Vectors Worksheets. 1. DRAW and CALCULATE the X and Y components of the following: A. E. B. F. C. G. D. H.
Chapter 3 Vectors Worksheets 1. DRAW and CALCULATE the X and Y components of the following: A. E. 10 10 20º 30º B. F. 60º 38º 10 10 C. G. 78º 10 16º 10 D. H. 10 10 83º 45º What s true about all the RED
More informationMechanics Units, Dimensional Analysis, and Unit Conversion
Mechanics Units, Dimensional Analysis, and Unit Conversion Lana Sheridan De Anza College Sept 25, 2018 Last time introduced the course basic ideas about science and physics Overview introduce SI units
More informationIntroduction to Mechanics Dynamics Forces Newton s Laws
Introduction to Mechanics Dynamics Forces Newton s Laws Lana heridan De Anza College Feb 20, 2018 Last time Newton s second law mass and weight examples free-body diagrams Overview Newton s second law
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 information170 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 informationLinear Momentum Inelastic Collisions
Linear Momentum Inelastic Collisions Lana Sheridan De Anza College Nov 9, 2017 Last time collisions elastic collisions Overview inelastic collisions the ballistic pendulum Linear Momentum and Collisions
More informationEnergy Energy and Friction
Energy Energy and Friction Lana heridan De Anza College Oct 31, 2017 Last time energy conservation isolated and nonisolated systems Overview Isolated system example Kinetic friction and energy Practice
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 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 informationChapter 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
More informationRotation Angular Momentum
Rotation Angular Momentum Lana Sheridan De Anza College Nov 28, 2017 Last time rolling motion Overview Definition of angular momentum relation to Newton s 2nd law angular impulse angular momentum of rigid
More informationUnit 1 Test Review Physics Basics, Movement, and Vectors Chapters 2-3
A.P. Physics B Unit 1 Test Review Physics Basics, Movement, and Vectors Chapters - 3 * In studying for your test, make sure to study this review sheet along with your quizzes and homework assignments.
More informationPhysics 2211 A & B Quiz #2 Solutions Fall P sin θ = µ k P cos θ + mg
Physics 2211 A & B Quiz #2 Solutions Fall 2016 I. (16 points) A block of mass m is sliding up a vertical wall at constant non-zero velocity v 0, due to an applied force P pushing against it at an angle
More informationChapter 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.
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. Two Dimensional Kinematics
. Two Dimensional Kinematics A) Overview We will begin by introducing the concept of vectors that will allow us to generalize what we learned last time in one dimension to two and three dimensions. In
More informationIntroduction to Mechanics Motion in 2 Dimensions
Introduction to Mechanics Motion in 2 Dimensions Lana heridan De Anza College Jan 31, 2018 Last time vectors and trig Overview introduction to motion in 2 dimensions constant velocity in 2 dimensions relative
More informationb) (6) How far down the road did the car travel during the acceleration?
General Physics I Quiz 2 - Ch. 2-1D Kinematics June 17, 2009 Name: For full credit, make your work clear to the grader. Show the formulas you use, all the essential steps, and results with correct units
More informationKinematics Varying Accelerations (1D) Vectors (2D)
Kinematics Varying Accelerations (1D) Vectors (2D) Lana heridan De Anza College ept 29, 2017 Last time kinematic equations using kinematic equations Overview falling objects and g varying acceleration
More informationLinear Momentum 2D Collisions Extended or Composite Systems Center of Mass
Linear Momentum 2D Collisions Extended or Composite Systems Center of Mass Lana Sheridan De Anza College Nov 13, 2017 Last time inelastic collisions perfectly inelastic collisions the ballistic pendulum
More informationAnnouncements. Unit 1 homework due tomorrow 11:59 PM Quiz 1 on 3:00P Unit 1. Units 2 & 3 homework sets due 11:59 PM
Announcements Unit 1 homework due tomorrow (Tuesday) @ 11:59 PM Quiz 1 on Wednesday @ 3:00P Unit 1 Ø First 12 minutes of class: be on time!!! Units 2 & 3 homework sets due Sunday @ 11:59 PM Ø Most homework
More informationWaves Solutions to the Wave Equation Sine Waves Transverse Speed and Acceleration
Waves Solutions to the Wave Equation Sine Waves Transverse Speed and Acceleration Lana Sheridan De Anza College May 17, 2018 Last time pulse propagation the wave equation Overview solutions to the wave
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 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 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 informationINTRODUCTION & 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)
More informationIntroduction to Mechanics Dynamics Forces Newton s Laws
Introduction to Mechanics Dynamics Forces Newton s Laws Lana heridan De Anza College Feb 20, 2018 Last time Newton s second law mass and weight examples free-body diagrams Overview Newton s second law
More informationMark on the diagram the position of the ball 0.50 s after projection.
IB Kinematics Problems 1. This question is about projectile motion. A small steel ball is projected horizontally from the edge of a bench. Flash photographs of the ball are taken at.1 s intervals. The
More informationIntroduction to Mechanics Conservative and Nonconservative Forces Potential Energy
Introduction to Mechanics Conservative and Nonconservative Forces Potential Energy Lana Sheridan De Anza College Mar 20, 2018 Last time work of varying force kinetic energy work-kinetic energy theorem
More informationWrite these equations in your notes if they re not already there. You will want them for Exam 1 & the Final.
Tuesday January 24 Assignment 3: Due Friday, 11:59pm.like every Friday Pre-Class Assignment: 15min before class like every class Office Hours: Wed. 10-11am, 204 EAL Help Room: Wed. & Thurs. 6-9pm, here
More informationPS 11 GeneralPhysics I for the Life Sciences
PS 11 GeneralPhysics I for the Life Sciences M E C H A N I C S I D R. B E N J A M I N C H A N A S S O C I A T E P R O F E S S O R P H Y S I C S D E P A R T M E N T N O V E M B E R 0 1 3 Definition Mechanics
More information2D Kinematics: Nonuniform Circular Motion Dynamics: Laws of Motion Newton s 1st & 2nd Laws
2D Kinematics: Nonuniform Circular Motion Dynamics: Laws of Motion Newton s 1st & 2nd Laws Lana heridan De Anza College Oct 6, 2017 Last Time relative motion uniform circular motion Overview nonuniform
More informationvoo H.j Projectile Motion Name 22S 2O2Ov 4. Askierleavesthehorizoatalendofthe ranipwwa velocityof25 m/sandlandsl0 metezsfromthe
1989 J. Wçston Walch, Publishcr Physics Compu-Sheeff 1 \. v t H = - voo k v1-v--t 1. A ball rolls with a speed of 2 rn/s across a table top that is 1 meter above the floor. Upon reaching the Projectile
More informationChapter 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 informationPHYS 111 HOMEWORK #5
PHYS 111 HOMEWORK #5 Due : 9 Sept. 016 This is a homework set about projectile motion, so we will be using the equations of motion throughout. Therefore, I will collect all those equations here at the
More informationLinear Momentum Center of Mass
Linear Momentum Center of Mass Lana Sheridan De Anza College Nov 14, 2017 Last time the ballistic pendulum 2D collisions center of mass finding the center of mass Overview center of mass examples center
More informationIntroduction to Mechanics Applying Newton s Laws Friction
Introduction to Mechanics Applying Newton s Laws Friction Lana heridan De Anza College Mar 6, 2018 Last time kinds of forces and problem solving objects accelerated together the Atwood machine and variants
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 informationProjectile Motion I. Projectile motion is an example of. Motion in the x direction is of motion in the y direction
What is a projectile? Projectile Motion I A projectile is an object upon which the only force acting is gravity. There are a variety of examples of projectiles. An object dropped from rest is a projectile
More information2D Kinematics Relative Motion Circular Motion
2D Kinematics Relative Motion Circular Motion Lana heridan De Anza College Oct 5, 2017 Last Time range of a projectile trajectory equation projectile example began relative motion Overview relative motion
More informationBell Ringer: What is constant acceleration? What is projectile motion?
Bell Ringer: What is constant acceleration? What is projectile motion? Can we analyze the motion of an object on the y-axis independently of the object s motion on the x-axis? NOTES 3.2: 2D Motion: Projectile
More informationPSI AP Physics 1 Kinematics. Free Response Problems
PSI AP Physics 1 Kinematics Free Response Problems 1. A car whose speed is 20 m/s passes a stationary motorcycle which immediately gives chase with a constant acceleration of 2.4 m/s 2. a. How far will
More informationOptics Polarization. Lana Sheridan. June 20, De Anza College
Optics Polarization Lana Sheridan De Anza College June 20, 2018 Last time interference from thin films Newton s rings Overview the interferometer and gravitational waves polarization birefringence 7 Michelson
More informationPH 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
More informationFalling Objects and Projectile Motion
Falling Objects and Projectile Motion Gravity influences motion in a particular way. How does a dropped object behave? accelerate, or speed constant? What if they have: different masses? different shapes?
More informationLab 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.
More informationChapter 4. Motion in Two Dimensions. Position and Displacement. General Motion Ideas. Motion in Two Dimensions
Motion in Two Dimensions Chapter 4 Motion in Two Dimensions Using + or signs is not always sufficient to fully describe motion in more than one dimension Vectors can be used to more fully describe motion
More informationCh 6 Homework. Name: Homework problems are from the Serway & Vuille 10 th edition. Follow the instructions and show your work clearly.
Ch 6 Homework Name: Homework problems are from the Serway & Vuille 10 th edition. Follow the instructions and show your work clearly. 1. (Conceptual questions 6.) A skater is standing still on a frictionless
More informationUnit 3 Motion & Two Dimensional Kinematics
Unit 3 Motion & Two Dimensional Kinematics Essential Fundamentals of Motion and Two Dimensional Kinematics 1. The horizontal component of a projectile s velocity is constant. Early E. C.: / 1 Total HW
More informationVERTICAL PROJECTILE MOTION (LIVE) 08 APRIL 2015 Section A: Summary Notes and Examples
VERTICAL PROJECTILE MOTION (LIVE) 08 APRIL 2015 Section A: Summary Notes and Examples Equations of Motion When an object is thrown, projected or shot upwards or downwards, it is said to be a projectile.
More information