Kinematics in Two Dimensions

Slides:



Advertisements
Similar presentations
What is Projectile Motion?
Advertisements

Motion in Two Dimensions
Chapter 4: Kinematics in 2D  Motion in a plane, vertical or horizontal  But, the motion in the x- and y-directions are independent, except that they.
1 UCT PHY1025F: Mechanics Physics 1025F Mechanics Dr. Steve Peterson KINEMATICS.
Physics  Free fall with an initial horizontal velocity (assuming we ignore any effects of air resistance)  The curved path that an object follows.
Motion in Two and Three Dimensions
Motion in Two Dimensions
Phy 211: General Physics I Chapter 4: Motion in 2 & 3 Dimensions Lecture Notes.
Chapter 3 Motion in Two Dimensions
Projectile Motion Chapter 3 section 3.
Scalar (Dot) Product. Scalar Product by Components.
Kinematics in Two Dimensions Chapter 3. Expectations After Chapter 3, students will:  generalize the concepts of displacement, velocity, and acceleration.
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.
Position, velocity, and acceleration in 2-d Separation of motion in x-and y-direction Equations for 2-d kinematics at constant acceleration Projectile.
Projectile Motion Projectile motion: a combination of horizontal motion with constant horizontal velocity and vertical motion with a constant downward.
Displacement, Velocity, and Acceleration Equations of Kinematics in 2 Dimensions Projectile Motion Relative Velocity.
1 Chapter 3 Kinematics-The Study Of Motion. 2 Introduction Kinematics: The branch of mechanics that studies the motion of an object without regard to.
Chapter 7 Forces In Two Dimensions. Equilibrant: Motion along an inclined plane x Θ y Θ.
1 Chapter 6: Motion in a Plane. 2 Position and Velocity in 2-D Displacement Velocity Average velocity Instantaneous velocity Instantaneous acceleration.
Introduction to Projectile Motion
Concept Summary Batesville High School Physics. Projectiles  A projectile is an object moving in 2 dimensions under the influence of gravity. For example,
Projectile Motion. What is a Projectile? Projectile – an object that moves along a 2-D curved trajectory - does not have any propulsion when in flight.
Physics Lesson 6 Projectile Motion Eleanor Roosevelt High School Mr. Chin-Sung Lin.
Projectile Motion.
General Physics Projectile Motion. What is a Projectile? Name examples of projectiles. A projectile has a constant horizontal velocity. A projectile has.
Vectors and Two Dimensional Motion Chapter 3. Scalars vs. Vectors Vectors indicate direction ; scalars do not. Scalar – magnitude with no direction Vector.
Physics Lesson 6 Projectile Motion
© 2010 Pearson Education, Inc. Lecture Outline Chapter 3 College Physics, 7 th Edition Wilson / Buffa / Lou.
© Houghton Mifflin Harcourt Publishing Company Preview Objectives Projectiles Kinematic Equations for Projectiles Sample Problem Chapter 3 Section 3 Projectile.
Projectile Motion Projectile motion: a combination of horizontal motion with constant horizontal velocity and vertical motion with a constant downward.
Chapter 5 Physics 1 Projectile Motion Go through these flashcards at least once a day to get an “A”!
CHAPTER 6 SECTION 1 Projectile Motion. Objects launched either horizontally or at an angle are considered to be projectiles. All motion can be analyzed.
PHY 151: Lecture 4A 4.1 Position, Velocity, and Acceleration Vectors 4.2 Two-Dimensional Motion with Constant Acceleration 4.3 Projectile Motion.
Sept 15 th Kinematics questions from yesterday Quiz Wednesday.
Phy 201: General Physics I Chapter 3: Motion in 2 Dimensions Lecture Notes.
Introduction to 2D Projectile Motion Types of Projectiles Which one is NOT a projectile?
PROJECTILE MOTION NOTES i
Brain Teaser During the Little League baseball season, every team plays every other team in the league ten times. If there are ten teams in the league,
Physics 141MechanicsLecture 4 Motion in 3-D Motion in 2-dimensions or 3-dimensions has to be described by vectors. However, what we have learnt from 1-dimensional.
Motion In Two-Dimensional
Motion in Two Dimensions EQ: What is a projectile?
Projectile Motion Honors Physics.
Chapter 12 Section 2 Gravity Objectives
Kinematics in Two Dimensions
What is Projectile Motion?
Projectile Motion Part 2.
Motion in Two Dimensions
Acceleration Due to Gravity
Chapter 5 Projectile Motion
Projectile Motion.
Projectile Motion.
Projectile Motion EXAMPLE
Projectile motion Projectile Motion Subject to Gravity Assumptions:
Lecture Outline Chapter 4 Physics, 4th Edition James S. Walker
Bellringer What is the difference between the words vertical and horizontal? What does the word projectile mean? How is one dimensional (1D), two dimensional.
Projectiles.
Two-dimensional Motion and Vectors Projectile Motion
Motion in Two Dimensions EQ: What is a projectile?
Projectile Motion AP Physics C.
Motion in One Dimension
Projectile Motion Projectile Motion.
Chapter 2: Kinematics in One Dimension
Lecture Outline Chapter 4 Physics, 4th Edition James S. Walker
Chapter 2 Uniformly Accelerated Motion
Lecture Outline Chapter 4 Physics, 4th Edition James S. Walker
Motion in One Dimension
Fundamentals of Physics School of Physical Science and Technology
Kinematics in Two Dimensions
Presentation transcript:

Kinematics in Two Dimensions Chapter 3

Displacement, Velocity, and Acceleration So far, these concepts have been used to describe straight line (or one dimensional) motion. In reality, these concepts can also describe curved motion. In such situations, the typical symbol x used for displacement is replaced with the symbol r (most likely for radius!)

Definitions Refined Displacement is the shortest distance between two positions (using vector addition) Average Velocity follows the same convention as always. Remember…average velocity vector must be in the same direction as the displacement. Average Acceleration is defined the same as it is for straight line motion. Direction will be the same as the change in velocity

Equations of Kinematics In Two Dimensions X component Y component

What is the Meaning of All This?? Consider the motion of a jet with two engines. The engines are placed perpendicular to each other. One on the x-axis, the other on the y-axis. The x part of motion occurs exactly as it would if the y part did not occur at all. The y part occurs exactly as it would if the x part of the motion did not exist.

So…. X and y motions are independent of one another. The “common factor” is most often time! Consider the jet then watch the demonstration.

Projectile Motion Consider an object being thrown horizontally or up at an angle. What path does the object take? This path is called the projectile’s trajectory. Solving projectile motion problems requires knowledge of kinematics equations and acceleration due to gravity.

Projectile Motion Equations It is absolutely necessary to remember that projectile motion involves two simultaneous independent motions. A horizontal flight A vertical free fall Considering what we know about these two types of motion, what is accelerating a projectile?

Horizontal Component of Motion Once the projectile is launched, the horizontal velocity remains constant!!!! There is no horizontal acceleration. Useful equations for the horizontal component include:

Vertical Component of Motion Gravity causes vertical acceleration. Therefore, this component of motion can be treated like free fall where a=9.8m/s2 If the projectile if launched horizonally,