I.A.1 – Kinematics: Motion in One Dimension. Is the book moving?

Slides:

Advertisements

Similar presentations

Q2.1 This is the x–t graph of the motion of a particle. Of the four points P, Q, R, and S, 1. the velocity vx is greatest (most positive) at point P 2.

Advertisements

A. point P. B. point Q. C. point R. D. point S.

Chapter 2 Motion in One Dimension 1. Speed 2. Displacement 3. Average and Instantaneous velocity 4. Acceleration 5. Motion Diagrams 6. 1D motion with constant.

MOTION An object is in motion if its position changes. The mathematical description of motion is called kinematics. The simplest kind of motion an object.

Motion in One Dimension

Physics. Session Kinematics - 3 Session Objectives Problems ? Free fall under gravity.

General Physics 1, additional questions, By/ T.A. Eleyan

Chapter 2 Lecture 3: Motion in One Dimension: Part II.

Displacement and Velocity

Kinematics Review Turning point “Area law”: finding position from velocity.

Chapter 2: Kinematics 2.1 Uniform Motion 2.2 Instantaneous Velocity

PHYS 201 Chapter 2: Kinematics in 1-D Distance Displacement Speed

Chapter 2: Motion in One Dimension EXAMPLES. Example 2.1 Displacement x 1 = 30 m x 2 = 10 m Displacement is a VECTOR.

Motion in One Dimension

By noting the distance the jogger moves in equal time intervals, you can determine that the jogger is standing still (a), moving at a constant speed (b),

1) What is the relationship between speed, velocity, and acceleration? 2) How do you calculate speed, velocity and acceleration? 3) How can you determine.

Scalar (Dot) Product. Scalar Product by Components.

A. Kinematics in One Dimension.  Mechanics – how & why objects move  Kinematics: the description of how objects move.

Linear Motion Review. 1.Speed is a ____ quantity. A.) vector B.) scalar C.) additive D.) subtractive.

Mechanics 105 Motion diagrams, position-time graphs, etc. Average and instantaneous velocity Acceleration Particle under constant acceleration Freefall.

2.1 Kinematics in One Dimension Mechanics – motion and the forces that cause that motion Kinematics – describes motion without regard to the forces that.

Chapter 3 Review Acceleration and Free Fall 1.When an object undergoes a change in velocity, it is said to be ______________. ans: accelerating/decelerating.

Classical Mechanics Kinematics – how objects move –Translational motion –Rotational motion –Vibrational motion Dynamics – Forces and why objects move as.

Motion in One Dimension Kinematics. Distance vs. Displacement Distance – how far you’ve traveled Scalar quantity - 20 m Displacement – shortest distance.

Average speed Instantaneous speed Acceleration

Unit 3: One Dimensional Kinematics

Chapter 2.1 Kinematics. Kinematics is the study of motion Distance is a measure of length only Displacement is the distance traveled in a particular direction.

 Jim is walking down the street with a speed of 3 m/s. An angry mob starts chasing him so he accelerates to 6 m/s in 2 seconds. What is Jim’s acceleration?

Acceleration. Velocity and Acceleration Formal definitions.

Mechanics - Kinematics

CHAPTER 3 ACCELERATION AND FREE FALL. ACCELERATION.

Graphical Look at Motion: displacement – time curve The slope of the curve is the velocity The curved line indicates the velocity is changing Therefore,

Free Falling Objects Physic 11. Humour: Freely Falling Objects  A freely falling object is any object moving freely under the influence of gravity alone.

Chapter 2: Kinematics in one Dimension Displacement Velocity Acceleration HW2: Chap. 2: pb.3,pb.8,pb.12,pb.22,pb.27,pb.29,pb.46 DUE on Wednesday, Sept.

Chapter 2 One-Dimensional Kinematics. Units of Chapter 2 Position, Distance, and Displacement Average Speed and Velocity Instantaneous Velocity Acceleration.

1 Chapter 2 Motion F. Morales. 2 CHAPTER OUTLINE  Motion Motion  Vectors Vectors  History of Motion History of Motion  Speed & Velocity Speed & Velocity.

University Physics: Mechanics

Chapter 2: Motion.  Compare your maximum speed with that of a cheetah, horse, elephant, and snake. Could you win a race against any of them?

MOTION IN ONE DIMENSION AVERAGE / INSTANTANEOUS SPEED POSITION AND DISPLACEMENT AVERAGE / INSTANTANEOUS VELOCITY AVERAGE / INSTANTANEOUS ACCELERATION.

Chapter 2 MOTION IN ONE DIMENSION. Particle: A point-like object – that is, an object with mass but having infinitesimal size.

Motion in One Dimension Physics 2053 Lecture Notes 02a dx dt x t Kinematics in One Dimension (Phy 2053) vittitoe.

2.1 Position, Velocity, and Speed 2.1 Displacement  x  x f - x i 2.2 Average velocity 2.3 Average speed  

I.A.1 – Kinematics: Motion in One Dimension. Average velocity, constant acceleration and the “Big Four”

Kinematics: Linear Motion in One Dimension Class 1.

KINEMATICS and MOTION Kinematics is the description of how objects move. Motion is a change in position relative to a frame of reference. A frame of reference.

Equations of Motion Review of the 5 Equations of Motion.

Object’s in Motion Study Guide – Chapter 4 1.Define and explain the difference between speed and velocity. 2.Define and explain the difference between.

Fundamentals of Physics 8 th Edition HALLIDAY * RESNICK Motion Along a Straight Line الحركة على طول خط مستقيم Ch-2.

Chapter 2 Motion Along a Straight Line 2-0. Mathematical Concept 2.1. What is Physics? 2.2. Motion 2.3. Position and Displacement 2.4. Average Velocity.

3-4 VELOCITY & OTHER RATES OF CHANGE. General Rate of Change The (instantaneous) rate of change of f with respect to x at a is the derivative! Ex 1a)

MOTION IN ONE DIMENSION

Today Kinematics: Description of Motion Position and displacement

3.3 Uniform Acceleration and Free Fall

Methods of Motion -Acceleration

Chap. 2: Kinematics in one Dimension

Describing Motion: Kinematics in One Dimension

Graphing Motion Walk Around

Acceleration in One and Two Dimensions

1. Walking the Dog You and your dog go for a walk to the park. On the way, your dog takes many side trips to chase squirrels or examine fire hydrants.

Motion in a Straight Line

Mechanics The study of Physics begins with mechanics.

Motion in One Dimension

Free Fall and Inclined Plane

Chapter 2: Kinematics in One Dimension

Linear Motion! Created by Educational Technology Network

Today Kinematics: Description of Motion Position and displacement

Motion in One Dimension

2.7 Freely Falling Bodies In the absence of air resistance, all bodies at the same location above the earth fall vertically with the same acceleration.

Presentation transcript:

I.A.1 – Kinematics: Motion in One Dimension

Is the book moving?

Some assumptions The motion is in a straight line The object is treated as a particle

Position and displacement

Average velocity

Position vs. time graphs

Ex: You drive a beat-up pickup truck along a straight road for 8.4 km at 70.0 km/h when you run out of gas (moron!). Over the next 30.0 min, you walk 2.0 km farther to a gas station. a) What is your displacement? b) What is the total time? c) What is your average velocity? d) Suppose you pump the gas, pay for it and walk back to the truck in another 45.0 min. What is your average speed?

Instantaneous speed

The position of a particle moving on the x-axis is x = t – 2.1t 3. What is the velocity at 3.5 s?

For the given equations for x(t), in which case is v a) constant b) negative?

Acceleration

The signs for acceleration and velocity If a and v have the same sign, the object is increasing in speed If a and v have the opposite signs, the object is decreasing in speed

Velocity vs. time graphs

Position vs time, velocity vs. time, acceleration vs. time

Ex. An object’s position is given by x = 4 – 27t + t 3. a) Find the velocity and acceleration of the object as a function of time. b) At what time does v = 0. c) Describe the motion of the object for t ≥ 0.

p. 44: 5-7, a) 4 nsb) 4000 s 6. a) 17 km/h b) – 5.0 km/hc) yours d) 7.7 km/h 7. a) 260 km b) 65 km/h 37. a) 2.4 m/s b) 24.7 m/s 38. – 2.0 m/s 2

Constant (or average) acceleration and the Big Four

Ex. A car decreases in speed from km/h to 80.0 km/h with a displacement of 88.0 m at a constant acceleration. a) What is the acceleration? b) What is the time required for this decrease in speed?

p. 47: 52, 54, 58-59, m 54. v = 3 m/st = 0.5 s m 59. a) -5.1 EE 5 m/s 2 b) 6.9 EE -4 s m

Free fall acceleration

Ex. A man goes over Niagara Falls in a spherical steel container, freely falling 48 m to the water (and rocks) below. How long did he fall and at what speed did he hit the water?

Ex. A baseball is tossed vertically with an initial velocity of 12 m/s. a) How long does it take the ball to reach maximum height? b) What is the maximum height above the release point? c) How long does it take the ball to reach a point 5.0 m above the release point?

p. 47: 55, 57, 65-66, m 57. a) 4.1 sb) 20 mc) 1 s, 3 s m 66. a) -26 mb) 23 m/s 73. a) mb) 138 sc) -610 m/s