Vectors & Projectile Motion. Motion is Relative ► Frame of Reference - perspective from which you observe.

Slides:

Advertisements

Similar presentations

Chapter 3 Notes.

Advertisements

Two-Dimensional Motion and Vectors

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 Objectives 1.Describe a projectile 2.Describe changes of horizontal and vertical components of velocity 3.Explain why a projectile.

Vectors & Projectile Motion Physics LG Jan. 30, 2009.

Motion in Two Dimensions

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.

Projectile Motion. Projectile: An Object Moving Solely Under Influence of Gravity.

Projectile motion Vectors and scalars A scalar quantity is described only by its magnitude Examples – 5.0kg; 10.0 l; 50.0 o C; 10.0m/s.

SPH4U – Grade 12 Physics Unit 3

SACE Stage 1 Conceptual Physics

Chapter 3 Kinematics in Two Dimensions

AGENDA 31-OCT Binder check today! Binder check today! Notes - Projectile Motion Notes - Projectile Motion CW - Plotting Projectile Motion Activity &

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.

What is Projectile Motion?

Chapter 3 Pretest. 1. After a body has fallen freely from rest for 8.0 s, its velocity is approximately: A) 40 m/s downward, B) 80 m/s downward, C) 120.

VECTORS AND PROJECTILE MOTION How fast will the plane go if it has a crosswind of 20m/s? We need to use vectors!!!!!!!

Chapter 3 Nonlinear Motion. 1.MOTION IS RELATIVE Example: Motion of a boat with respect to the ground and with respect to the river. Velocity of river.

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

Chapter 3 Projectile Motion

Two-Dimensional Motion and Vectors

Dr. Mason’s Patented Quiz #2 Review Presentation Accept no substitutes Void where prohibited Limit one per family.

Chapter 3 Projectile Motion.

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

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 Jenny Parham Alex Smith Physics, Per

Chapter 3 Kinematics in Two Dimensions; Vectors. Units of Chapter 3 Vectors and Scalars Addition of Vectors – Graphical Methods Subtraction of Vectors,

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

Projectile Motion Previously, we studied motion in one direction (linear motion) Projectiles follow a curved path (nonlinear motion) The velocity of a.

Vectors and Two Dimensional Motion Chapter 3. Scalars vs. Vectors Vectors indicate direction ; scalars do not. Scalar – magnitude with no direction Vector.

Why is speed scalar and velocity vector. Speed is only a number

Chapter 3 Projectile Motion. What does this quote mean? “Pictures are worth a thousand words.”

When the Acceleration is g... …the object is in Free Fall. Consider a 1kg rock and a 1gram feather. –Which object weighs more? A. Rock B. Feather C. Neither.

Chapter 3 Nonlinear Motion Scalar quantity a quantity that has magnitude but not direction.

Ch 3 – Two-Dimensional Motion and Vectors. Scalars vs. Vectors ► Scalar – a measurement that has a magnitude (value or number) only  Ex: # of students,

Projectile Motion Chapter 3. Vector and Scalar Quantities Nonlinear Motion: motion along a curved path. Magnitude: greatness in size or extent. Vector.

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

Projectile Motion. Vectors and Scalars A Vector is a measurement that has both a magnitude and a direction. Ex. Velocity, Force, Pressure, Weight A Scalar.

TWO DIMENSIONAL AND VARIED MOTION Projectile Motion The Pendulum.

Ch. 5 – Projectile Motion This chapter has two main categories…Vector motion & Projectile motion… Always know which one you’re dealing with before any.

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.

 Vectors are quantities with Magnitude AND Direction  Ex: › Displacement › Velocity › Acceleration › Force  Scalars are quantities with only magnitude.

Chapter 3 PROJECTILE MOTION How does a cannonball fly?

Chapter 5 Physics 1 Projectile Motion Go through these flashcards at least once a day to get an “A”!

Unit Two Chapter 3, Part 2 Projectile Motion. A projectile is an object upon which the only force acting is gravity.

Two Dimensional Motion Two components: Horizontal (x-axis) & Vertical (y-axis)

Advanced Physics Chapter 3 Kinematics in Two Dimensions; Vectors.

2D Projectile Practice #1 If a golf ball is launched at an angle of 35 ○ with a speed of 40 m/s, 1.how long will it take to reach its highest point? 2.How.

Chapter 3: Two-Dimensional Motion and Vectors. Objectives Define vectors and scalars. Understand simple vector operations like addition, subtraction,

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

Projectile Motion Introduction Horizontal launch.

AP PHYSICS Chapter 3 2-D Kinematics. 2-D MOTION The overriding principle for 2-Dimensional problems is that the motion can be resolved using vectors in.

Bell Ringer You throw a football horizontally, and drop a football from the same height and at the same time. Which will hit the ground first? PLEASE.

CHAPTER Scalar & Vector Quantities Scalar Quantity = gives magnitude, quantity/how much of something you have. Examples: 30m/s, 50mph, 17N, $20,

A football is kicked into the air at an angle of 45 degrees with the horizontal. At the very top of the ball's path, its velocity is _______. a. entirely.

* Moving in the x and y direction * A projectile is an object shot through the air. This occurs in a parabola curve.

A scalar is only a magnitude with appropriate units.

Bell Ringer You throw a football horizontally, and drop a football from the same height and at the same time. Which will hit the ground first? PLEASE.

Projectile Motion.

Review Questions Chapter 3

Analysing projectile motion

A scalar is only a magnitude with appropriate units.

Projectile motion can be described by the horizontal and vertical components of motion. Now we extend ideas of linear motion to nonlinear motion—motion.

Chapter 3 Jeopardy Review

Assessment Questions Which of these expresses a vector quantity? 10 kg

How does a cannonball fly?

Projectile Motion Chapter

Presentation transcript:

Vectors & Projectile Motion

Motion is Relative ► Frame of Reference - perspective from which you observe

Truck at Rest If the ball is thrown at 60 km/h relative to the truck, at what velocity will the person catch the ball at?

Truck Moving Away ► ► If the ball is thrown at 60 km/h west relative to the truck and the truck moves at 40 km/h east relative to the catcher, at what velocity will the person catch the ball at?

Truck Moves Towards ► ► If the ball is thrown at 60 km/h west relative to the truck and the truck moves at 40 km/h west relative to the catcher, at what velocity will the person catch the ball at?

► Scalar - measurement of magnitude only  Ex) mass, volume, speed ► Vector - measurements with both magnitude and direction  Ex) velocity, acceleration, force

arrowhead = direction length of arrow = magnitude Vectors

Vector addition

Resultant – sum of vectors

Pythagorean Theorem a 2 + b 2 = c 2 a 2 + b 2 = c 2

► c 2 = a 2 + b 2 ► c 2 = ► c 2 = ► √c 2 = √10,000 ► c = 100 km/hr

EX) What is the resultant vector for 4 km/hr north and 3 km/hr east? ► c 2 = a 2 + b 2 ► c 2 = ► c 2 = ► c 2 = 25 ► c = 5 km/h

► Boat crossing river animation… l l

Vector addition ► Pythagorean Theorem - ► Parallelograms - ► Head-to-tail method - ► Trigonometry -

Vector Addition

What is the vertical and horizontal component of a vector?

SOH-CAH-TOA

Ex) What are the horizontal and vertical components of the following vector?

Projectile Motion Projectile – an object moving through air affected by gravity Projectile – an object moving through air affected by gravity

Projectile Demos ► Shooter/ Dropper ► Monkey and Hunter

Projectile Motion Horizontal and vertical motion act independently Horizontal and vertical motion act independently

How fast is the ball thrown?

► Vertical ► d=.5at 2 ► 5 =.5(10)t 2 ► t= 1 second ► Horizontal ► v= d/t ► v= 20m/1s ► v= 20 m/s The ball is thrown at 20 m/s!

What angle should a ball be kicked to get the farthest? Upwardly-Moving Projectiles

Projectiles launched at the same speed but different angles.

Shot Put - 45º is not the ideal angle, why? You are already off the ground 1-2 meters.

45º is not the ideal angle for high speed projectiles either. Why? 45º is not the ideal angle for high speed projectiles either. Why? Air resistance must be considered.

Fast Moving Projectiles ► What would happen if you threw a ball so fast that the curvature of the earth came into play?

Fast Moving Projectiles ► Satellite- a projectile traveling fast enough to fall around the earth rather than into ► To stay in orbit around the earth, a satellite needs to travel at 8 km/s!

Hang Time

This type of problem is more difficult… ► ► ctile_motion/projectile_motion.html ctile_motion/projectile_motion.html ctile_motion/projectile_motion.html