Position, velocity, and acceleration in 2-d Separation of motion in x-and y-direction Equations for 2-d kinematics at constant acceleration Projectile.

Slides:

Advertisements

Similar presentations

Motion in Two Dimensions

Advertisements

Projectile Motion.

By: Nahdir Austin Honors Physics Period 2

What is Projectile Motion?

7-2 Projectile Motion. Independence of Motion in 2-D Projectile is an object that has been given an intial thrust (ignore air resistance)  Football,

Projectile Motion. What Is It? Two dimensional motion resulting from a vertical acceleration due to gravity and a uniform horizontal velocity.

Projectile Motion Neglecting air resistance, what happens when you throw a ball up from the back of a moving truck? Front? Behind? In?

Projectile motion Chapter 4, Section 4 Lecture 08 General Physics (PHYS101)

PHYSICS 103: Lecture 4 Freely falling objects çThrowing a ball upward Projectile Motion çTrajectory of projectile çHitting a target Agenda for Today:

Physics  Free fall with an initial horizontal velocity (assuming we ignore any effects of air resistance)  The curved path that an object follows.

In this chapter we will learn about the kinematics (displacement, velocity, acceleration) of a particle in two or three dimensions. Projectile motion Relative.

How to do kinematics in 2-D Remember the ball shot at the monkey. Motion, force and accelerations in the X direction do not affect Y motion. And vice versa:

Projectile Motion Chapter 3 Section 3

Chapter 4 Two-Dimensional Kinematics

Projectile Motion. Once a difficult problem for cannoneers If the vertical and horizontal components are separated, the problem becomes simple.

Projectile Motion 1.

Motion in 2-Dimensions. Projectile Motion A projectile is given an initial force and is then (assuming no air resistance) is only acted on by gravity.

Chapter 3 Motion in Two Dimensions

Physics. PHS Kinematics & Momentum Projectiles Projectile: Moving object whose motion (trajectory, position, velocity) depends only on initial.

Projectile Motion Chapter 3 section 3.

Unit 4: Two-Dimensional Kinematics. Section A: Projectile Motion  Corresponding Book Sections:  4.1, 4.2  PA Assessment Anchors  S11.C.3.1.

Do now A B + = ? The wrong diagrams Draw the right diagram for A + B.

Projectile Motion Neglecting air resistance, what happens when you throw a ball up from the back of a moving truck? Front? Behind? In? GBS Physics Demo.

Lecture 5: Vectors & Motion in 2 Dimensions. Questions of Yesterday 2) I drop ball A and it hits the ground at t 1. I throw ball B horizontally (v 0y.

Projectile Motion Projectile motion: a combination of horizontal motion with constant horizontal velocity and vertical motion with a constant downward.

Mechanics Physics12 Projectiles Mechanics Physics12 Projectiles.

Honors Physics Projectile Motion.

1 Chapter 6: Motion in a Plane. 2 Position and Velocity in 2-D Displacement Velocity Average velocity Instantaneous velocity Instantaneous acceleration.

2-Dimensional Kinematics Unit 2 Presentation 2. Projectile Problems  Projectile Motion: The two- dimensional (x and y) motion of an object through space.

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.

Physics Lesson 6 Projectile Motion Eleanor Roosevelt High School Mr. Chin-Sung Lin.

Projectile Motion Also known as two dimensional motion or trajectory problems.

Chapter 7.2 – Projectile Motion

Projectile Motion.

Objectives: Analyze the motion of an object in free fall. Solve two-dimensional problems. Calculate the range of a projectile.

General Physics Projectile Motion. What is a Projectile? Name examples of projectiles. A projectile has a constant horizontal velocity. A projectile has.

Physics Lesson 6 Projectile Motion

Free Falling Objects Physic 11. Humour: Freely Falling Objects  A freely falling object is any object moving freely under the influence of gravity alone.

Projectile Motion Days 1 & 2 We will learn what projectile motion is and how to analyze it using equations I will apply my kinematics equations to two.

Lecture 5 Lecture 5 Projectile Motion.  Objects that are thrown or launched into the air and are subject to gravity are called projectiles.  Projectile.

© 2010 Pearson Education, Inc. Lecture Outline Chapter 3 College Physics, 7 th Edition Wilson / Buffa / Lou.

Projectiles (2D) A projectile is any object that is in a state of freefall, or in other words an object that is only acted upon by the force of gravity.

Chapter 3 Kinematics in Two Dimensions. 3.1 – d, v, & a A bullet is fired horizontally. A second bullet is dropped at the same time and at from the same.

CHAPTER 6 MOTION IN 2 DIMENSIONS.

PROJECTILE MOTION.

Two-Dimensional Motion Chapter 3. A little vocab  Projectile = any object that moves through space acted on only by gravity  Trajectory = the path followed.

Motion in Two Dimensions

Projectile motion 2-dimensional motion of an object launched non-vertically Falls freely (neglect air resistance unless I tell you otherwise)

Copyright © 2010 Pearson Education, Inc. Chapter 4 Two-Dimensional Kinematics.

CHAPTER 6 SECTION 1 Projectile Motion. Objects launched either horizontally or at an angle are considered to be projectiles. All motion can be analyzed.

Physics.  A projectile is any object that has been launched with no means of controlling its own flight…it is in free-fall motion while at the same time.

Projectile Motion. Horizontally Launched Projectiles Projectiles which have NO upward trajectory and NO initial VERTICAL velocity. Y-Direction Free Fall.

Projectile Motion Introduction Horizontal launch.

Sept 15 th Kinematics questions from yesterday Quiz Wednesday.

Projectiles IB Revision. Gravity does not act sideways gravity makes it accelerate downwards The ball moves with a constant horizontal velocity The ball.

Ch. 6 Motion in Two Dimensions Projectile Motion.

What is Projectile Motion?. Instructional Objectives: Students will be able to: –Define Projectile Motion –Distinguish between the different types of.

Projectile Motion Section 3.3.

Physics Lesson 6 Projectile Motion

Projectile Motion.

Projectile Motion AP Physics C.

What is Projectile Motion?

Equations of Kinematics in One Dimension

Projectile Motion EXAMPLE

Projectile motion Projectile Motion Subject to Gravity Assumptions:

Chapter 3 Jeopardy Review

What is Projectile Motion?

Kinematics in Two Dimensions

Projectile Motion.

Presentation transcript:

Position, velocity, and acceleration in 2-d Separation of motion in x-and y-direction Equations for 2-d kinematics at constant acceleration Projectile motion Lecture 4: Motion in two dimensions

Velocity

Acceleration

Effect of acceleration components

Demonstrations Vertical launch of ball from traveling car Simultaneously dropped and horizontally launched balls

Kinematics equations For constant acceleration:

Projectile Motion If only gravity acts on an object (free fall), then acceleration is a constant vector of magnitude g, directed down. Effect on velocity:

Projectile motion: Simulation

Free-fall trajectory Worked out on the board…

Example A man is stranded between a river and a high vertical cliff. To get help, he wants to throw a bottle containing a message over the river. If he throws the bottle with an initial velocity V 0 and at a positive angle θ with respect to the horizontal, what is the minimum height H he has to climb up the cliff to ensure that the bottle just barely reaches the opposite river bank, a distance D away?

Demo: The hunter and the monkey *You will work this out in the Special Homework. Hint: the angle θ between initial velocity and horizontal is not given, but knowing D and H will enable you to find sin θ and cos θ.