Kinematics in Two Dimensions

Slides:

Advertisements

Similar presentations

Uniform Circular Motion & Relative Velocity. Seatwork #2 A man trapped in a valley desperately fires a signal flare into the air. The man is standing.

Advertisements

Relative Velocity.

2D Relative Motion Problem #1

Constant Acceleration and Relative Velocity Constant Acceleration and Relative Velocity.

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.

Relative Motion. Point of View  A plane flies at a speed of 200. km/h relative to still air. There is an 80. km/h wind from the southwest (heading 45°

Physics 151: Lecture 6, Pg 1 Announcement: l LABS start this week ! l Homework #2 : due Fri. (Sept. 15) by 5.00 PM on webassign Problems from Chapter.

All motion is relative; that is, motion must be measured relative to a frame of reference. For example, if you’re sitting in a rowboat that is floating.

RELATIVE VELOCITY IN 2D. WARM UP A boat travels at a constant speed of 3 m/s on a river. The river’s current has a velocity of 2 m/s east. 1.If the boat.

Chapter 13 Vector Applications Contents:

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

Vectors and Relative Motion Vector Quantity Fully described by both magnitude (number plus units) AND direction Represented by arrows -velocity -acceleration.

A River Problem A crocodile is lurking beside the Platte River. It spots an unsuspecting juggler on the bank of the river exactly opposite.

Forces in Two Dimensions

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

Ch 3. Kinematics in Two Dimensions Average velocity instantaneous velocity 1.

PHYS 20 LESSONS Unit 2: 2-D Kinematics Projectiles Lesson 3: Relative Velocity.

Relative and Resultant Velocity Aim: How do we calculate the resultant velocity of an object moving relative to other moving objects? Do Now: You are walking.

-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.

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

Riddle How can you throw a ball as hard as you can and have it come back to you even if it doesn't hit anything there is nothing attached to it and no.

Complex number Standard form Polar form Exponential form z ( x, y ) r z = re i θ z = r (cosθ + i sinθ) z = x + y i θ x y x y Argand Diagram O.

HP UNIT 3 Motion in 2D & Vectors. Consider the following 3 displacement vectors: To add them, place them head to tail where order doesn’t matter d1d1.

Velocity Vectors Conceptual Physics Text Correlation: Section

Velocity Vectors & Projectile Motion Wind 20 km/h East Wind 20 km/h West Wind 20 km/h South Plane 100 km/h East VELOCITY VECTORS Plane 120 km/h East.

Physics 101: Lecture 7, Pg 1 Constant Acceleration and Relative Velocity Constant Acceleration and Relative Velocity Physics 101: Lecture 07.

Vectors and Relative Motion Vector Quantity Fully described by both magnitude (number plus units) AND direction Represented by arrows -velocity -acceleration.

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

Do now Conceptual Challenge, p Section 3-4 Relative motion Objectives 1. Describe situations in terms of frame of reference. 2. Solve problems.

Checking Your References Relative Motion. How would Homer know that he is hurtling through interstellar space if his speed were constant? Without.

Chapter Relative Motion. Objectives Describe situations in terms of frame of reference. Solve problems involving relative velocity.

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: Word Problems

Vectors and motion in 2-D

Chapter 3 Motion (Ewen et al. 2005) Objectives: Distinguish between speed and velocity Use vectors to illustrate and solve velocity problems.

Vectors Chapter 4.

CH04. Problems. Relative Motion Textbook (9 th Ed, CH04, P.75) 75 A train travels due south at 30 m/s (relative to the ground) in a rain that is blown.

Vector Addition and Subtraction. SCALARVECTOR When we draw vectors we ALWAYS represent them as arrows.

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

Try If Vectors… 2 steps north 2 steps north 5 steps west 5 steps west 4 steps north 4 steps north 6 steps west 6 steps west 10 steps north 10 steps north.

Part I Relative Velocity Vector Addition and Subtraction (Graphical)

Relative Motion! (pg. 82 – 83) Amy, Bill, and Carlos are watching a runner… According to Amy, the runner’s velocity is vx = 5 m/s According to Bill, the.

What do you think? One person says a car is traveling at 10 km/h while another states it is traveling at 90 km/h. Both of them are correct. How can this.

Relative Velocity.

Two-Dimensional Kinematics

Unit 1 Part 5: Relative Velocity

Chapter 2 : Kinematics in Two Directions

Physics Section 3.1 Represent quantities using vectors

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

Vector addition.

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

a is always perpendicular to vx a is always perpendicular to vy

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

Preview Multiple Choice Short Response Extended Response.

Relative Motion.

Constant Acceleration and Relative Velocity

Relative Velocity The velocity of an object is relative to the observer who is making the measurement.

Find a vector a with representation given by the directed line segment {image} . A(-9, -1) , B(-5, 8) {image}

Honors Precalculus 4/24/18 IDs on and showing.

Chapter 3 Jeopardy Review

Do Now: An ant is crawling on the sidewalk. At one moment, it is moving south a distance of 5.0 mm. It then turns 45 degrees south of west and crawls 4.0.

Add the following vectors in order “Tip-to-Tail”

Vector Worksheet 2 Answers 1. Determine the resultant of:

Velocity Vectors Chapter

Relative Motion All Motion is Relative.

-Relative Motion -Vector Addition and Subtraction

Presentation transcript:

Kinematics in Two Dimensions Chapter 3 Kinematics in Two Dimensions

3.4 Relative Velocity

Example 11 Crossing a River 3.4 Relative Velocity Example 11 Crossing a River The engine of a boat drives it across a river that is 1800m wide. The velocity of the boat relative to the water is 4.0m/s directed perpendicular to the current. The velocity of the water relative to the shore is 2.0m/s. (a) What is the velocity of the boat relative to the shore? (b) How long does it take for the boat to cross the river?

Plane in the Wind VPG = VPA + VAG To determine the resulting velocity - add the velocity of the airplane to the velocity of the air. Resulting Velocity = Velocity of object wrt the air + velocity of air wrt the ground VPG = VPA + VAG

What if the wind is blowing towards the north? The resulting velocity of the airplane is relative to the ground.

What if the wind is blowing towards the West? The resulting velocity of the airplane is relative to the ground.

The resulting velocity of the airplane is relative to the ground. What if the plane is flying towards the Southeast and wind is to the West? The resulting velocity of the airplane is relative to the ground.

Suppose he needs to fly south and the wind was blowing to the west? The resulting velocity of the airplane relative to the ground must be south! But what angle to fly at?

Heading Øo 100 km/h R Ø = -75.5o 25 km/h The pilot would have to fly his plane in a direction of -75.5o to compensate for the wind.

R = 96.8 km/h Resulting Velocity? This velocity is relative to the ground and is sometimes called the ground speed.