Regents Physics  AGENDA Start Chapter 4: Vectors Graphical vector addition / subtraction HW:

Slides:

Advertisements

Similar presentations

Subtracting Vectors A – B = ?. Example Problem What is 30 m/s north minus 15 m/s east?

Advertisements

Chapter 3 Vectors.

Chapter 4 Vectors (4.1) Determine graphically the sum of two or more vectors. Establish a coordinate system in problems involving vector quantities.

Vectors and Scalars.

 The line and arrow used in Ch.3 showing magnitude and direction is known as the Graphical Representation ◦ Used when drawing vector diagrams  When.

Review Displacement Average Velocity Average Acceleration

Physics: Chapter 3 Vector & Scalar Quantities

Chapter 3, Vectors. Outline Two Dimensional Vectors –Magnitude –Direction Vector Operations –Equality of vectors –Vector addition –Scalar product of two.

Vectors You will be tested on your ability to: 1.correctly express a vector as a magnitude and a direction 2. break vectors into their components 3.add.

In this chapter we will learn about vectors.  properties, addition, components of vectors When you see a vector, think components! Multiplication of vectors.

Forces in 2D Chapter Vectors Both magnitude (size) and direction Magnitude always positive Can’t have a negative speed But can have a negative.

In this section you will:

Vector Quantities We will concern ourselves with two measurable quantities: Scalar quantities: physical quantities expressed in terms of a magnitude only.

Vector Quantities Vectors have ▫magnitude ▫direction Physical vector quantities ▫displacement ▫velocity ▫acceleration ▫force.

Vectors A How to Guide Sponsored by:.

Finding the Magnitude of a Vector A vector is a quantity that has both magnitude and direction. In this lesson, you will learn how to find the magnitude.

Types of Coordinate Systems

Vector & Scalar Quantities

Do Now Write a few sentences to compare and contrast scalar quantity with vector quantity.

Vectors. There are two kinds of quantities… Scalars are quantities that have magnitude only, such as position speed time mass Vectors are quantities that.

Objectives  Define coordinate systems for motion problems.  Recognize that the chosen coordinate system affects the sign of objects’ positions.  Define.

Kinematics and Dynamics

Vector Basics. OBJECTIVES CONTENT OBJECTIVE: TSWBAT read and discuss in groups the meanings and differences between Vectors and Scalars LANGUAGE OBJECTIVE:

VECTORS VECTOR – ANY QUANTITY THAT IS DEFINED BY A MAGNITUDE (SIZE) AND A DIRECTION.

Unit 3-1: 2-Dimensional Vectors. A vector is any quantity that has both magnitude and direction. A 2-Dimensional vector is drawn at some angle with the.

Chapter 3: Vectors. Vector Notation v = speed v (or v )= velocity.

Vectors Physics Objectives Graphical Method Vector Addition Vector Addition Relative Velocity.

Ch 3 Vectors. Vectors What is the difference between a scalar and a vector? A vector is a physical quantity that has both magnitude and direction What.

Mr. Rockensies – Regents Physics V ECTOR A DDITION AIM – How do we add vectors? DO NOW – Where have you heard the word vector aside from Physics class?

Motion in 2 dimensions Vectors vs. Scalars Scalar- a quantity described by magnitude only. –Given by numbers and units only. –Ex. Distance,

Vectors In A Single Plane. Vector Representation Have you ever drawn a treasure map as a child? Have you ever drawn a treasure map as a child? Drawn a.

Chapter 3 Motion in Two Dimensions (2D) Vectors and Projectile Motion x y.

Vectors have magnitude AND direction. – (14m/s west, 32° and falling [brrr!]) Scalars do not have direction, only magnitude. – ( 14m/s, 32° ) Vectors tip.

Vectors and motion in 2-D

Vector & Scalar Quantities. Characteristics of a Scalar Quantity  Only has magnitude  Requires 2 things: 1. A value 2. Appropriate units Ex. Mass: 5kg.

Ch 6 Vectors. Vectors What is the difference between a scalar and a vector? A vector is a physical quantity that has both magnitude and direction What.

10/8 Do now The diagrams below represent two types motions. One is constant motion, the other, accelerated motion. Which one is constant motion and which.

Vectors and Scalars. Physics 11 - Key Points of the Lesson 1.Use the tip-to-tail method when adding or subtracting vectors 2.The sum of all vectors is.

I know where I’m going. A scalar is a quantity described by just a number, usually with units. It can be positive, negative, or zero. Examples: –Distance.

Chapter 3 Vectors. Vector quantities  Physical quantities that have both numerical and directional properties Mathematical operations of vectors in this.

Copyright © by Holt, Rinehart and Winston. All rights reserved. ResourcesChapter menu Chapter 3 Scalars and Vectors A scalar is a physical quantity that.

Mr. Rockensies – Regents Physics

Chapter 3 Vectors.

Vectors and Scalars This is longer than one class period. Try to start during trig day.

Vectors Unit 4.

What does it mean for there to be a tie?

Aim: How do we solve vector problems graphically?

Introduction to Vectors

We use arrows to represent vectors.

VECTOR AND SCALAR QUANTITIES.

Vectors List 5-8 situations that would involve 1 or 2 different forces acting on an object that cause it to move in a certain direction.

Representing Motion.

2.1: An introduction to vectors

Chapter 3: Vectors Reading assignment: Chapter 3

Two-Dimensional Motion and Vectors Introduction to Vectors

/s Fig. P3.18, p.72.

Aim: How do we add vectors graphically?

Physics VECTORS AND PROJECTILE MOTION

Vector & Scalar Quantities

Scalars/Vectors and Distance/Displacement

Working with Vectors.

Introduction to Vectors

In this section you will:

Right Triangles and Trigonometry

Regents Physics Vectors and Scalars What is a Vector? A scalar?

Vector & Scalar Quantities

Presentation transcript:

Regents Physics  AGENDA Start Chapter 4: Vectors Graphical vector addition / subtraction HW:

Drawing Vectors  A vector has magnitude and direction each vector is drawn to scale and includes a tip, indicating a direction Tail Tip N S W E The coordinate axis system defines the direction of the vector The length is defined by creating a scale Scale 1.0 cm = 10.0 m/s V = m/s east

Tip to Tail Triangle Method..How do we graphically add/subtract vectors V1V1 V2V2 Resultant Vector (R) = V 1 + V 2 The resultant vector is an equal expression of vectors V 1, V 2 Tail of V 2 to tip of V 1

Tip to Tail... V 1 east V 2 north Put on axis and use tip to tail method N S WE V 1 east V 2 north R Measure the length of the resultant!

Vector addition example  A person walks 24.0 m north and 12.0 m east. Determine the position and magnitude of the resultant vector of this motion. First, make a scale for the vectors Draw a coordinate axis Draw and the label the vectors Draw and measure the resultant vector!

Vector addition problem #2  A plane flies at miles per hour north when it encounters a crosswind of 80.0 miles per hour from the west. Determine the position and magnitude of the resultant vector of this motion.

These are equal expressions…right?!

This method can also be used when we are not using tip to tail addition… and we also get the same results! Notice both vectors start at the same origin

Example  Find the resultant vector of the following two vectors We use dashed lines to represent the mirror images of the vectors

Rotate green A vector 180 degrees and give it a negative sign! Just remember..tip to tail Our resultant vector is now B - A and has a different magnitude and direction! A B

A car drives km at an angle of 35 degrees north of east. Find the vectors d 1 east and d 2 north of this motion. 35 ° V 2 north V 1 east Just draw and measure the vectors! What if we START with the resultant?

Practice Problem...  A package is dropped from a plane and is “off target” by 100ft to the west. If the distance to the ground is 500ft. (a) What is the resultant vector of this motion? (b) What is the angle from the negative y - axis of the resultant vector?