Vectors Ch. 3.1-3.3. Objectives 1.Vector vs. Scalar quantities 2.Draw vector diagrams 3.Find resultant of two vectors.

Slides:

Advertisements

Similar presentations

3.1 Introduction to Vectors

Advertisements

Chapter 5 Projectile motion. 1. Recall: a projectile is an object only acted upon by gravity.

CH. 4 Vector Addition Milbank High School. Sec. 4.1 and 4.2 Objectives –Determine graphically the sum of two of more vectors –Solve problems of relative.

Vectors and Scalars.  A scalar quantity is a quantity that has magnitude only and has no direction in space Examples of Scalar Quantities:  Length 

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

PHY PHYSICS 231 Lecture 4: Vectors Remco Zegers

Vectors and Scalars.

Vectors and Scalars AP Physics B. Scalar A SCALAR is ANY quantity in physics that has MAGNITUDE, but NOT a direction associated with it. Magnitude – A.

Vectors and Scalars A SCALAR is ANY quantity in physics that has MAGNITUDE, but NOT a direction associated with it. Magnitude – A numerical value with.

Vectors This is one of the most important chapters in the course. PowerPoint presentations are compiled from Walker 3 rd Edition Instructor CD-ROM and.

Vectors Vector: a quantity that has both magnitude (size) and direction Examples: displacement, velocity, acceleration Scalar: a quantity that has no.

Vectors. Definitions Scalar – magnitude only Vector – magnitude and direction I am traveling at 65 mph – speed is a scalar. It has magnitude but no direction.

Chapter 3 Kinematics in Two Dimensions

Projectile Motion Chapter 3. Vector and Scalar Quantities Vector Quantity – Requires both magnitude and direction Velocity and Acceleration = vector quantities.

3.1 Introduction to Vectors.  Vectors indicate direction; scalars do not  Examples of scalars: time, speed, volume, temperature  Examples of vectors:

Applying Vectors Physics K. Allison. Engagement If a plane and the wind are blowing in the opposite direction, then the plane’s velocity will decrease.

Vectors A How to Guide Sponsored by:.

Two-Dimensional Motion and VectorsSection 1 Preview Section 1 Introduction to VectorsIntroduction to Vectors Section 2 Vector OperationsVector Operations.

Do you remember any trig??  When you are finished with the Exam, see if you can solve these problems….. 1) Determine the value of the missing side. 2)

Ch. 3 Vectors & Projectile Motion. Scalar Quantity Described by magnitude only – Quantity Examples: time, amount, speed, pressure, temperature.

Two-Dimensional Motion and VectorsSection 1 Preview Section 1 Introduction to VectorsIntroduction to Vectors Section 2 Vector OperationsVector Operations.

VectorsVectors. What is a vector quantity? Vectors Vectors are quantities that possess magnitude and direction. »Force »Velocity »Acceleration.

Unit 3: Motion Introduction to Vectors.  Scalar  units of measurement that involve no direction (mass, volume, time).  Vector  a physical quantity.

-Relative Motion -Vector Addition and Subtraction -Motion in Two Dimensions Intro Physics Mrs. Coyle.

Newton’s Third of Motion Newton’s Third Law Action-Reaction Whenever one body exerts a force on a second body… …the second body exerts an equal and opposite.

5 Projectile Motion Projectile motion can be described by the horizontal and vertical components of motion.

How do you add vectors that don’t have the same (or opposite) direction? Let’s consider adding the following vectors: 20 m, 45 deg m, 300 deg.

Vectors. Basic vocabulary… Vector- quantity described by magnitude and direction Scalar- quantity described by magnitude only Resultant- sum of.

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

Vectors A vector quantity has both magnitude (size) and direction A scalar quantity only has size (i.e. temperature, time, energy, etc.) Parts of a vector:

GRAPHIC VECTORS MS. KNIGHT PHYSICS I EDITED BY S.G. 10/27/15 (DIAGRAM ERROR CORRECTED)

Chapter 3 PROJECTILE MOTION How does a cannonball fly?

Agenda 1) Warm-Up 5 min 2) Vocab. Words 10 min 3) Vector Intro. 15 min 4) Pre-Vector fill-in notes 5 min 5) Board Notes for Vectors 15 min 6) How to use.

Vectors Pearland ISD Physics. Scalars and Vectors A scalar quantity is one that can be described by a single number: –Examples: temperature, speed, mass.

Relative Velocity. Example 1 A man is trying to cross a river that flows due W with a strong current. If the man starts on the N bank, how should he head.

Vectors and motion in 2-D

SWINNEYPSP 2002 PROJECTILE MOTION Vector Analysis.

Vectors and Scalars.  A scalar quantity is a quantity that has magnitude only and has no direction in space Examples of Scalar Quantities:  Length 

The Sinking Ship You again are on duty at Coast Guard HQ when you get a distress call from a sinking ship. Your radar station locates the ship at range.

Chapter 3 Motion in 2 dimension. Chapter 3 Objective Differentiate between scalar and a vector Understand how to calculate a vector Describe projectile.

Vectors & Scalars Chapter Notes. Vectors vs. Scalars A quantity that requires both magnitude (a numerical value) and direction is a vector Displacement,

CIE Centre A-level Pure Maths

Name: __________________________ Period: _____ Date: __________

Or What’s Our Vector Victor?

Vectors and motion in 2-D

VECTORS Saline High Physics Mr. Frederick

Part I Relative Velocity Vector Addition and Subtraction (Graphical)

Relative Velocity.

Vectors and Scalars.

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

Vector Addition.

5.2 Velocity Vectors The resultant of two perpendicular vectors is the diagonal of a rectangle constructed with the two vectors as sides.

Relative velocity Velocity always defined relative to reference frame. All velocities are relative Relative velocities are calculated by vector addition/subtraction.

Two-Dimensional Motion and Vectors

Enduring Understanding: Modeling is widely used to represent physical and kinematic information. Essential Question: What are the practical applications.

Velocity Vectors Velocity = speed + direction

Vectors and Scalars.

2-D Motion and Vectors Chapter 3.

Committing crime in MAGNITUDE and Direction! Oh Yeah!

-Relative Motion -Vector Addition and Subtraction

Or What’s Our Vector Victor?

Presentation transcript:

Vectors Ch

Objectives 1.Vector vs. Scalar quantities 2.Draw vector diagrams 3.Find resultant of two vectors

The Wind Do we run faster with the wind or against the wind? Have you ever been on a plane flight that’s early or late due to wind? When talking about wind, we are talking about magnitude and direction

Strength of the wind If we draw arrows comparing a strong easterly wind vs. a weak westerly wind, how would we do that? Give it a try.

Magnitude – any number Scalar Quantity: –Quantity that is described by a magnitude, or number, only. Examples of scalars: 1 km/h, 8 kg of sand, 22 years old. These are all “scalars.” Can be added, subtracted, divided, and multiplied.

Vector What’s a vector? Vector: –Number (magnitude) and direction How can we illustrate vectors? –You already did this by drawing those arrows! –Vector Example: Bay Area Wind PatternsVector Example: Bay Area Wind Patterns

Vector Diagrams All vectors have a tail and a head. Draw the vector above and label it.

Vector Addition Two vectors can be added up to form the result, or resultant Copy a couple of the examples in this diagram

Vector Addition How fast would an bird move if it had an airspeed of 7 km/h when flying into a headwind of 7 km/h? Draw a diagram, and check w/ your neighbor Speed of 0 km/h! –Like birds are often seen when facing a strong wind

Vector Addition Plane flying at 80 km/h with a crosswind of 60 km/h We use the Pythagorean Theorem c 2 = a 2 + b 2 Resultant 2 = (80km/h) 2 + (60 km/h) 2 Resultant 2 = 6400km/h km/h = 10,000km/h Square root of 10,000km/h = 100km/h Let's see Do planes go faster when flying in cross winds?

Practice Problem How fast will a boat that normally travels 10 km/h in still water be moving with respect to land if it sails directly across a stream that flows at 10 km/h? Draw the diagram c 2 = a 2 + b 2 Resultant 2 = Resultant 2 = 200 Square root of 200 = km/h

Practice Problem A plane is flying at 200 km/hr with no wind. If a crosswind of 50 km/hr develops, will it affect the speed of the plane? If yes, by how much? –c 2 = a 2 + b 2 –C 2 = –C 2 = 40, ,500 –Square root of 42,500 – km/hr

Vectors and Surfing

1.Surfing in the same direction of wave --> surfer’s velocity = wave’s velocity 2.Shows two velocity components which result in a third velocity: the velocity of the surfer traveling perpendicular to wave as well as parallel to wave. This makes the surfer go faster. 3.The velocity of the wave stays the same. Can the surfer change his/her velocity?

How can we vary the velocity of surfer? Increase/decrease the angle! Resultant velocity, is found by the Pythagorean Theorem. Surfer’s adjust their vectors depending on what the the wave does Let’s watch a few quick clips... Vectors can be applied to baseball as well!