Adding Vectors at an Angle

Slides:

Advertisements

Similar presentations

The Navigation Problem Trigonometry Mr. Brennan A plane flies for 2.25 hours (from an airport) at a speed of 240 km/hr Then on a course of 300 degrees.

Advertisements

Ashley Abid Nicole Bogdan Vectors. Vectors and Scalars A vector quantity is a quantity that is fully described by both magnitude and direction. Scalars.

3.1 Introduction to Vectors

Combining vectors in 2D Components, Overall Velocity or force Equilibrium, Equilibriants.

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

Vectors Part 2 Projectile Motion Vectors Part 2 PVHS Physics.

Vectors A How to Guide Sponsored by:.

Sec 6.2 Trigonometry of Right Triangles Objectives: To define and use the six trigonometric functions as ratios of sides of right triangles. To review.

PHYSICS: Vectors and Projectile Motion. Today’s Goals Students will: 1.Be able to describe the difference between a vector and a scalar. 2.Be able to.

Vectors.  A Vector is a physical measurement that has both magnitude and direction.  Vectors include displacement, velocity, acceleration, and force.

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

A jogger runs 145m in a direction 20

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

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

Vector Addition And Distance vs. Displacement. Distance and Displacement In Physics there is a difference between distance and displacement. Distance:

Adding Vectors on the Same Line When two vectors are in the same direction it is easy to add them. Place them head to tail and simply measure the total.

Problem 1 A man was walking home from work and on his way home he traveled a distance of 25 km west, 12 km north, and then back 2 km east. What was his.

Vectors Vectors in one dimension Vectors in two dimensions

Do Now… 1) Use SOH-CAH-TOA to find the length of side b. 1) Miniature Joe walks 4 cm North and then heads 3 cm West. Draw a diagram (to scale) of his trip.

Vectors and Projectile Motion Chapter 3. Adding Vectors When adding vectors that fall on the same line, using pluses and minuses is sufficient. When dealing.

How Can We Describe Motion of an Object?. Scalar vs Vector Quantities Scalar – described by a magnitude (number value) alone –Example: 5m, 13 miles,

PHYSICS: Vectors. Today’s Goals Students will: 1.Be able to describe the difference between a vector and a scalar. 2.Be able to draw and add vector’s.

Objectives: Work with vectors in standard position. Apply the basic concepts of right-triangle trigonometry using displacement vectors.

Physics 3.2 “Vector Operations” SOHCAHTOA. I. Determining Resultant Magnitude and Direction.

Vectors Right Triangle Trigonometry. 9-1 The Tangent Ratio  The ratio of the length to the opposite leg and the adjacent leg is the Tangent of angle.

Physics – Chapter 3-1 Introduction to Vectors St. Augustine Preparatory School September 4, 2015.

A Mathematics Review Unit 1 Presentation 2. Why Review?  Mathematics are a very important part of Physics  Graphing, Trigonometry, and Algebraic concepts.

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.

Operations on Vectors. Vector Addition There are two methods to add vectors u and v  Tip to tail (triangle method)  Parallelogram Properties of Addition.

COLLEGE PREP PHYSICS. QOTD You and your classmates are all given a treasure map. You REALLY want that treasure! You are given a series of steps to follow.

1 Physics Chapter 5 Objectives: 1) Be able to add two or more vectors graphically (tip-to- tail). 2) Apply the trigonometry of right triangles in order.

Vector Basics Characteristics, Properties & Mathematical Functions.

A-6 Vectors Standard A6a: Find and draw a resultant vector from other component vectors. Standard A6b: Find the direction angle of a resultant vector from.

Characteristics, Properties & Mathematical Functions

Do Now: In order to get to the park a boy must walk 4 blocks East, then 2 blocks North and finally 1 Block West. What is his resultant displacement and.

Trigonometry – Finding Side Lengths

Do Now: 1. Remember Mailman Rich? He walked 22 km North, then 47 km South of East at 60o. EXPLAIN how we calculated the resultant mathematically? 60o.

Take a warm-up from the ChromeBook, calculator, and compass

Jan throws a ball into the air and catches it on its way down

Vectors Vector vs Scalar Quantities and Examples

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

Physics – Chapter 3-1 Introduction to Vectors

What is Kinematics? Projectile Motion

Pointing the Way Vectors.

CBGS Physics Vector Unit 17/09/2018.

7.1 Vectors and Direction 1.

Scalars vs. Vectors.

MM5 – Applications of Trigonometry

Calculating Velocity Honors Physics.

Vectors Vectors in one dimension Vectors in two dimensions

Constant Acceleration and Relative Velocity

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

Vector Components Vectors 2.

8.3 Trigonometry By Brit Caswell.

Vector Addition Methods Graphical Method Component Method

Aim: How do we add vectors graphically?

Pointing the Way Vectors.

Vectors in a Plane Mesa Verde National Park, Colorado

Finding the Magnitude and Direction of the Resultant for two vectors that form right angles to each other.

Chapter 3 Vectors Questions 3-1 Vectors and Scalars

Sec 6.2 Trigonometry of Right Triangles

Adding Multiple Vectors

GIG Read the passage and mark your answers on your whiteboard. NOT ON THE PAPER. Questions 3-4.

Presentation transcript:

Adding Vectors at an Angle

Communicating Direction So far we have looked at vectors traveling on exact compass points. What about when they don’t travel exactly N, S, E, or W? We use Degree’s away from our known compass points.

Ex: A plane is flying 10 east of north. How do we express this using our knowledge of vectors?? We say that the plane is traveling [10 E of N]

Sample: Denise walks to Jean’s home by going one block east and then one block north. Each block is 160m long. What is Denise’s final displacement?

Try Questions #1-4 on pg 428

Finding the Angle using Trigonometry SOHCAHTOA What is this? It is a mnemonic to help remember when to use the functions on your calculator to find the correct angle.

SOHCAHTOA

Using SOHCAHTOA Sample 1: Denise walks to Jean’s home by going one block east and then one block north. Each block is 160m long. What is Denise’s final displacement?

Sample 2: Calculate  for the following triangle: